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Page 1: ERICHSEN, Peter Spacecraft Propulsion, a Brief · PDF file · 2014-01-28The book “Spacecraft Propulsion Systems” has been written by Peter ... propellant and thrust engine performances
Page 2: ERICHSEN, Peter Spacecraft Propulsion, a Brief · PDF file · 2014-01-28The book “Spacecraft Propulsion Systems” has been written by Peter ... propellant and thrust engine performances

Project coordination: Torsten H. Fransson Computerized Educational Platform Heat and Power Technology lecture series, Volume 13, 2

nd Edition

ERICHSEN, Peter

Spacecraft Propulsion, a Brief Introduction

Copyright © 2011 by Peter Erichsen

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PREFACE FROM COMPEDUHPT

The “Computerized Education in Heat and Power Technology”

(=CompEduHPT) platform is designed as a fully electronic learning

and teaching platform for the field of Heat and Power Technology.

The project is a joint collaboration between persons involved in any

aspects of heat and power plant designs in a broad perspective,

including also any other kind of energy conversion, around the

world. The cluster is open to anyone who either contributes directly

with learning and/or teaching material or who is willing to sponsor

the development of the material in any other way.

Although all the “electronic books” existing in the project are

available inside the “CompEduHPT”-platform there has been a wish

from users as well as contributors that some of the books should also

be available in printed form, at a very reasonable price. This

“Lecture Series” is the outcome of this wish.

It is obvious that the CompEduHPT-platform, and its accompanying

Lecture Series, would not have appeared without the significant

interest in the project from all the CompEduHPT Cluster partners

worldwide. As initiator of the project I express my sincere thanks to

all my colleagues who have been willing to share their hard-earned

experience and learning/teaching material for the benefit of

“learners” around the world. I am also very grateful to all the

students (undergraduate as well as graduate) who have helped us to

develop the CompEduHPT-material to what it has become and where

it is heading. Needless to say that although the project would have

started without these persons, it would never have reached the

present state without their hard work.

Furthermore, the ideas and enthusiasm from these persons have

indicated that the vision of a fully interactive learning material

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corresponds to a future demand in the perspective of the life-long

learning.

I am also very grateful to the different organizations and companies

who have sponsored the work in various ways and at different times.

I hope that some of the results may be useful also to them.

The book “Spacecraft Propulsion Systems” has been written by Peter

Erichsen, formerly at the Swedish Space Corporation (SSC),

Sweden. It is based partly on SSC internal technical notes and on

course material that Peter Erichsen has been teaching at several

places over a number of years. It is with great pleasure that we

include this so far unpublished material in the CompEduHPT Lecture

Series.

Peter Erichsen has graciously agreed to share this material with the

CompEduHPT-platform on courtesy by SSC.

Torsten Fransson

Initiator of CompEduHPT-platform

PREFACE FOR 2nd EDITION

As its first issue, the new edition summarises propulsion

fundamentals as well as key features and performances of existing

and planned (near future) spacecraft propulsion systems. However,

with the introduction of the “System-specific Impulse”, Issp, as a

supplement to the rocket propulsion theory, this edition details also

the analysis of propulsion performances on spacecraft system level.

Peter Erichsen

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Table of Contents

1 INTRODUCTION ........................................................................................ 1

2 NEED FOR PROPULSION ......................................................................... 2

3 PROPULSION FUNDAMENTALS ............................................................ 4

3.1 BASIC PROPULSION EQUATIONS ................................................................. 4 3.2 PROPULSION PERFORMANCE ....................................................................... 7

3.2.1 Thruster Performance Factor ........................................................... 7 3.2.2 System Performance Factor ............................................................. 8 3.2.3 Evaluation of Mass of Propulsion Systems ..................................... 10

4 SURVEY OF SPACECRAFT PROPULSION SYSTEMS ................... 11

4.1 SPACECRAFT PROPULSION SYSTEM OPTIONS ........................................... 11 4.2 CHEMICAL PROPULSION ........................................................................... 17

4.2.1 Cold Gas ......................................................................................... 19 4.2.2 Hot Gas (survey) ............................................................................ 25 4.2.3 Monopropellant .............................................................................. 27 4.2.4 Bipropellant .................................................................................... 33 4.2.5 General System Design Considerations ......................................... 39 4.2.6 Solid Propellant .............................................................................. 40

4.3 ELECTRIC PROPULSION ............................................................................. 43 4.3.1 Propulsion Concepts ...................................................................... 43 4.3.2 Propulsion System Design and Performance ................................. 47

5 PROPULSION SYSTEMS SELECTION CRITERIA ............................ 57

6 OUTLINE OF POTENTIAL FUTURE SPACE PROPULSION ........... 64

6.1 POTENTIAL IMPROVEMENT OF CHEMICAL PROPULSION............................ 65 6.2 POTENTIAL IMPROVEMENT OF ELECTRIC PROPULSION ............................. 67 6.3 NEW APPROACHES.................................................................................... 69

7 GROUND TESTING OF PROPULSION SYSTEMS ............................. 72

8 MISSION SURVEILLANCE OF PROPULSION SYSTEMS ............... 73

9 LITERATURE/REFERENCES ................................................................ 74

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Standard Notations

Standard notation used throughout this booklet is given below.

C tank filling ratio (Vp/VT)

E energy [Ws]

F force [N]

g acceleration of gravity, standard, 9.81 [m/s2]

I impulse [Ns]

K tank performance factor (Pop/mT VT) [m2/s

2]

M molecular mass [kg/kmol]

m mass [kg]

m propellant mass flow rate [kg/s]

P power [W]

p pressure [N/m2]

R gas constant 8.314 [kJ/°K/kmol]

S/C spacecraft

T temperature [°K]

x non-impulse dependent system mass (%)

v velocity [m/s]

z gas compressibility factor

v velocity-increment m/s

specific power [W/kg]

overall power conversion efficiency (Pjet/P)

κ specific heat ratio

specific mass of propellant [kg/m3]

thrust time sec]

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Subscripts

c motor chamber

case motor case

e exhaust (effective)

e-opt exhaust (optimal)

El electric (system)

H/W hardware

f final

jet thruster nozzle exhaust

0 initial

op operating

P propellant

PS propulsion system

PSS propellant storage system (tank with propellant)

S/C spacecraft

sp specific

ssp system-specific

T tank

tot total

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1 INTRODUCTION

This booklet summarises key features and performance

characteristics of existing and planned (near future) rocket

propulsion for use on spacecraft such as satellites, space probes, etc.

In the frame of “Lecture Notes”, this booklet, presents a summary of

the “Rocket Propulsion Course” contained in the CompEduHTP-

platform with focus on spacecraft propulsion systems.

For a better understanding of spacecraft propulsion, the physical

background of propulsion is discussed and basic propulsion

mathematical equations are presented.

The aim of this presentation is to bring about the basics of space

propulsion on system level including propulsion system performance

evaluation. As a supplement to rocket propulsion theory, the

‘System-specific Impulse’ Issp is introduced. The Issp allows a more

accurate determination of the propulsive performance than the

commonly used ‘Specific-Impulse’ Isp which is only related to

propellant and thrust engine performances. The Issp has the advantage

in defining those parameters, which have a most significant impact

on propulsion system impulse performance. This allows

understanding the significance of the various system performance

parameters, which means also a better understanding of system

design concepts with related performance in general. Related exercises are noted under ‘Spacecraft Propulsion’ (S1B8C4) in the

CompEduHTP-platform: www.energy.kth.se/compedu.

An overview of basic common propulsion system designs is

presented together with tables and graphs which should allow the

valuation and facilitate a preliminary selection of propulsion systems

(chemical, electric) for spacecraft flight missions of given impulse

and velocity-increment requirement.

The literature noted in Chapter 9 is recommended for further reading

about spacecraft propulsion technology and its application.

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2 NEED FOR PROPULSION

Propulsion is needed:

- to place payloads into orbit: launch propulsion;

- to send payloads to the moon or to the planets: space

propulsion;

- to position, adjust and maintain orbits of spacecrafts by orbit

control: auxiliary propulsion;

- to orient spacecraft by attitude control: auxiliary propulsion

also called reaction-control systems.

There are the following types of reaction-control systems:

- reaction jets (propulsion): which produce a control force by

the expenditure of mass;

- solar sails, magnetic torquers (magnetic coils): which produce

a control force by interaction with the environmental field;

- momentum-transfer devices (reaction-, flywheels): which

produce no net control force, but simply transfer angular

momentum to or from the spacecraft.

In this booklet, only propulsion systems will be dealt with which are

based on jet propulsion devices that produce thrust by ejecting stored

matter, called the propellant.

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The main features of jet propulsion are:

a) LAUNCH PROPULSION for launching rockets with the

following characteristics:

- high velocity increment capability (7 - 11 km/s)

- very high thrust levels (ratio thrust/launch vehicle weight: 1.3)

- low fraction of launch vehicle take-off mass for payload (1 - 5%)

- powerful chemical rockets

b) SPACECRAFT PROPULSION is characterised in general by its

complete integration within the spacecraft. Its function is to

provide forces and torques to:

- transfer the spacecraft: orbit transfer incl. interplanetary travel

- position the spacecraft: orbit control

- orient the spacecraft: attitude control

While jet propulsion systems for launching rockets are also called

primary propulsion systems, spacecraft, e.g. satellites, are operated

by secondary propulsion systems.

In order to fulfil attitude and orbit operational requirements,

spacecraft propulsion systems are characterised in particular by:

- low thrust levels (1 mN to 500N) with low acceleration levels,

- continuous operation mode for orbit control,

- pulsed operation mode for attitude control,

- predictable, accurate and repeatable performance (impulse bits),

- reliable, leak-free long time operation (storable propellants),

- minimum and predictable exhaust plume impingement effect.

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3 PROPULSION FUNDAMENTALS

3.1 Basic Propulsion Equations

The essence of space propulsion is to modify the velocity vector of a

spacecraft either in magnitude or in direction so as to modify the

orbit or attitude. However, an isolated body, like a spacecraft, can

modify its momentum only if external forces act on it, since all

internal forces cancel each other in action-reaction pairs. This is

expressed by Newton's law of motion:

dt

dmv

dt

vdm

dt

vmdF

)(, (1)

Unfortunately, there are no such external forces in space (except very

weak perturbation forces which have to be compensated by the

spacecraft onboard propulsion system) and Eq. (1) becomes:

0dt

dmv

dt

vdm

(2)

Therefore, the only and obvious way out is, that the spacecraft must

be split up such, that a part of the spacecraft can modify its velocity

through the effect of action-reaction forces.

In fact, this is realised by the ejection of mass in form of propellant

from the spacecraft. If we assume a spacecraft with a mass m,

ejecting propellant with a rate of dm/dt at constant velocity evv

at

nozzle outlet, Eq. (2) can be written with the action and reaction

forces in balance:

dt

dmv

dt

vdm e

(3)

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This expresses that the spacecraft experiences acceleration in the

opposite direction to ev, or that the external force acting on the

spacecraft is by definition the force of thrust. That is, constant

exhaust propellant velocity evv

at nozzle outlet ( evv

is the

relative velocity between spacecraft and exhaust propellant) gives the

basic equation for force of thrust:

Fdm

dtv mve e

N, (4)

with dm

dtm

s

kg for the propellant mass flow rate. (5)

Strictly speaking, ev and F are vectors. They are here taken to be

collinear, so no vector notation is needed.

Eq. (3) can be integrated to get the accumulated velocity increment

v of a spacecraft:

dv vdm

mv

v v

e

m

m

o

f

0

. (6)

Integrated:

v vm

me

f

o

ln

s

m, (7)

where m0 is the initial mass of the spacecraft at the beginning and mf

is the final mass of the spacecraft at the end of its mission.

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This formula can be also written in the form of the basic 'Rocket

Equation':

m

me

f

v

ve

0

(Tsiolkovsky-Equation). (8)

The propellant quantity required for a spacecraft velocity change v

is with mf = m0 - mP:

)1(0ev

v

P emm

kg . (9)

Some other useful definitions

The total impulse delivered by a certain quantity of propellant is

calculated by:

Pe

m

etot mvdmvFdtIP

00

Ns . (10)

The kinetic energy of ejected matter is:

2

2

1ePjet vmE Ws . (11)

And the power of the jet is calculated by:

PdE

dtmv F

vjet

jet

e

e 1

2 2

2

W . (12)

Therefore, the power input for an electric thruster will be:

PP

mv

Fvjet e e

2

2 2 W , (13)

where is the power conversion efficiency.

For further reading about propulsion fundamentals see [1] and [2].

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3.2 Propulsion Performance

3.2.1 Thruster Performance Factor

The most useful parameter for determining thrust engine (or thruster)

performance is specific impulse:

IF

msp

kg

Ns, (14)

This is defined as the impulse delivered per unit mass of propellant

and which can be easily obtained by test, i.e. by measuring of the

thrust F and propellant mass flow rate

m with help of a thrust stand

in a vacuum chamber; see Fig. 1. THRUST AND SPEC. IMPULSE MEASUREMENT

F - signal

Accuracy of Measurements (typical)

Pressure - P (bar) 0.2 %

Temperature - T (o C) 2 %

Propellant Mass Flow -

m (g/s) 0.3%

Thrust - F (N) 0.2%

Spec. Impulse - Isp (Ns/kg) 0.5%

Thruster

Thrust Stand

F

Vacuum Chamber

m - signal T - signal

P- signal

m

Fig. 1: Measurement of Thrust F and Propellant Mass Flow Rate

m

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An effective exhaust velocity of the jet is introduced, which is

determined by test:

vF

me

s

m. (15)

From its definition as the thrust per unit rate of mass flow of

propellant, it follows that ve is numerical the same as the Isp as

defined above with SI units of m/s. Note: ve hereafter is always the

effective exhaust velocity, although called simply ‘exhaust velocity’,

if not stated otherwise. Further, in all related calculations with ve, the

effective velocity has to be applied.

Propulsive performance is commonly associated with the specific

Impulse Isp, (ve). According to the ‘Rocket Equation’ (8), a high value

of Isp will result in a mission final high spacecraft mass, which means

high payload mass, because of lower propellant mass consumption

during the spacecraft mission.

Specific impulses are sometimes quoted in units of seconds,

corresponding to a modification of the above definition to that of the

impulse delivered per unit weight of propellant. Such values in

seconds then follow from those in Ns/kg by division with the

gravitational acceleration standard, g (= 9.8 m/s2).

3.2.2 System Performance Factor

With regard to the evaluation of propulsion performance on system

level, propellant storage systems, and especially for electric

propulsion, electric power supply and power processing systems (see

Chapter 4.3.2) may form a major ‘dead’ dry mass of the overall

propulsion system mass. Therefore, the choice and sizing of

propulsion systems is not always clear on the basis of Isp alone.

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In general, it can be assumed that, especially for missions with high

total propulsion impulse (e.g. geostationary and interplanetary

missions), the mass of the corresponding auxiliary propulsion system

may represent an important fraction of the overall mass of the

spacecraft. Attempts to minimise the mass of propulsion systems

have therefore to concentrate on parameters, which characterise the

system’s propulsive performance capabilities. Hence, a system

reference number has to be defined, describing those design

parameters which influence propulsion system mass in relation to

delivered impulse.

To describe the performance of the entire spacecraft propulsion

system, a reference number is introduced, which defines the total

impulse Itot, delivered by the entire propulsion system mass mPS:

II

mssp

tot

PS

kg

Ns. (16)

Because of the resulting dimension, - delivered impulse per kilogram

of system mass mPS, this number is called System-specific Impulse,

[3].

The Issp can be directly derived from actual spacecraft propulsion

systems by determining the total impulse delivered by the system

contained propellant (see Eq. (10)), divided by the mass of the

propulsion system (including mass of contained propellant).

On the other hand, the Issp can be derived analytically. The Issp varies

with the kind and design of propulsion systems. In Chapter 4 below

the most common spacecraft propulsion systems are presented with

derived Issp mathematical formulas and with relevant propulsion data.

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3.2.3 Evaluation of Mass of Propulsion Systems

The mass of propulsion systems can be derived from the propulsion

system mass fraction. The dependence of the propulsion system mass

fraction on mission velocity increment v is derived from the

‘Rocket Equation’ in combination with the definition of the system-

specific impulse Issp.

The first Eq. (17) below is obtained from Eqs. (9) and (10). The

second Eq. (18) is just the definition of Issp, and the final expression

Eq. (19), follows from the first two:

)1(/ev

v

CSePetot emvmvI

(17)

PSssptot

PS

tot

ssp mIIm

II (18)

)1()1(/

ee v

v

ssp

spv

v

ssp

e

CS

PS eI

Ie

I

v

m

m

(19) (19)

where mS/C m0 is the (initial) mass of the spacecraft and with the

understanding of:

kg

NsI

s

mv spe is numerical equal. (20)

With the help Eq. (19), for given values of ve and Issp, the propulsion

system mass fraction can be plotted as a function of velocity

increment (v), as presented in Chapter 5 and realised by the

computerised ‘Issp-Program’, see [4]. By this, the Issp and the mass

fraction of propulsion systems can be evaluated for given mission

impulse and v requirements.

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4 SURVEY OF SPACECRAFT PROPULSION SYSTEMS

4.1 Spacecraft Propulsion System Options

Spacecraft propulsion systems can be classified according to the type

of energy source. Both, space propulsion and auxiliary propulsion are

performed by the following two main on-board spacecraft propulsion

system types:

A) Propulsion Systems with self-contained energy in propellants, comprising cold gas and hot gas systems. The energy to

produce thrust is stored in the propellant, which is released

mainly by chemical reactions (this is why these systems are

mostly referred to as chemical propulsion systems) and the

propellant is then accelerated to a high velocity by expanding it

in form of gas through a nozzle. These systems contain:

- Storage and feed system that stores (tank) and feeds the

propellant to the thrusters to generate thrust.

- Valves, piping which connects the propellant storage system

with the thruster.

- Electric control unit to operate electrically the valves and

thrusters.

Thrust Exhaust

Propellant Storage and

Feed System

Thrusters, Valves,

Piping, etc.

Electrical

Control Unit

Figure 2: Schematic of Chemical Propulsion Systems

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With regard to the system-specific impulse, Issp = Itot/mPS (see

Eq. (16) above), its practical application, especially for system

performance analysis, requires a very clear definition of what is

included in the total mass of propulsion system mPS.

Therefore, the Issp can be further detailed according to Fig. 2, and

with Eq. (16) the Issp for chemical propulsion systems can be

written:

PSSWH

tot

sspmm

II

/

, (21)

with mH/W, the propulsion hardware mass, such as thrusters,

valves, piping, etc., which is independent of propulsion impulse,

and mPSS, the mass of propellant storage system (propellant +

tank), which is proportional to propulsion impulse; see coloured

box of Fig. 2.

The following types of propulsion systems are part of systems

with self-contained energy in propellants:

- Cold gas systems, comprising inert gases (e.g. nitrogen: N2)

and high vapour pressure hydrocarbons (e.g. ammonia:NH3

and propane: C3H8).

- Monopropellant hydrazine systems (N2H4).

- Storable bipropellant systems (e.g. nitrogen tetroxide (NTO:

N2O4) oxidiser with anhydrous hydrazine (N2H4) or

monomethyl hydrazine (MMH: CH3N2H3) fuels).

- Solid propellant motors (composite propellants: e.g.

aluminium powder with hydroxyl-terminated polybutadiene

(HTPB) binder and an oxidiser like ammonium perchlorate).

More details about chemical propulsion are presented in Chapters 4.2

below.

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B) Propulsion Systems with externally supplied energy to

propellant, comprising e.g. electric propulsion. The energy to

produce thrust is not stored in the propellant but has to be

supplied from outside by an extra power source, e.g. nuclear,

solar radiation receivers (solar cells) or batteries. These systems

contain:

- Storage and feed system that stores and feeds the propellant

to the thrusters to generate thrust.

- Valves, piping which connects the propellant storage system

with the thruster.

- Electric control unit to operate electrically the valves and

thrusters.

- Electric power generator and power processing system.

Electrical Power

Generator

Power Processing

System

Control Unit, Harness,

Piping, etc.

Propellant Storage and

Feed System

Electrical Thruster

Assembly

Plasma/

Ion Jet

Figure 3: Schematic of Electrical Propulsion Systems

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According to Fig. 3 and with Eq. (16) the Issp for electric

propulsion systems can be written:

ElPSSWH

tot

sspmmm

II

/

(22)

with mEl, to be added to the system mass with regard to chemical

propulsion. The mEl comprise the mass the electrical power

generator, the power processing system and the electrical

thrusters assembly which are proportional to the power to be

handled by electric propulsion systems; see coloured box of

Fig. 3.

The following types of propulsion systems are part of systems with

externally supplied energy to propellant, i.e. electric propulsion:

- Electrothermal systems (resistojet and arc-jets):

Here thrust is produced by expansion of hot gas (which is heated

by electric current) in a nozzle.

- Electromagnetic systems (magnetoplasmadynamic: MPD).

- Electrostatic systems (ion engines: Kaufman, radio-frequency,

field emission, stationary plasma):

Here thrust is produced by acceleration of charged particles in

electric or magnetic fields to high expulsion velocities.

More details about electric propulsion are presented in Chapters 4.3

below.

Eqs. (21) and (22) for Issp of the various propulsion systems have in

common the same numerator, representing the total impulse

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delivered by the propellant contained in the propellant tank, which is

with Eq. (17):

ePtot vmI (23)

while the denominator in Eqs. (21) and (22), with regard to the

impulse related system mass (mPSS, mEl), varies with the kind and

design of propulsion systems. In this respect, a concise description

of common spacecraft propulsion systems is presented below.

Details of derived mathematical formulas of Issp for chemical

propulsion systems are presented in Chapter 4.2 and those for

electrical in Chapter 4.3 below.

An overview of actual propulsion system options according to their

source of energy is shown in Fig. 4.

Figure 4: Classification of Spacecraft Propulsion Systems

Classification of Propulsion systems

PROPULSION SYSTEMS

CHEMICAL

COLD GAS HOT GASELECTROTHERMAL

(Resistojet; Arcjet)

ELECTROMAGNETIC

( MPD-Thruster)

ELECTROSTATIC

(RIT; Field emission) VAPORISING LIQUID

COMPRESSED GAS

(Nitrogen)

(Propane)

SOLID PROPELLANT

MONO-PROPELLANT

(Hydrazine)

BI-PROPELLANT

(MMH/N2O)

ELECTRICAL

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Historically, chemical propulsion, comprising cold gas and hot gas

systems, was the first one available for space propulsion which is

now followed by the development of electric propulsion systems.

Presentations of spacecraft propulsion systems in Chapter 4 below

will be concentrated on today’s most commonly used system

designs, which include traditional chemical propulsion with evolving

environmental benign, so-called ‘green propellants’ as well as

electric propulsion still under development.

Finally, Chapter 6 will present an outline of the potential future

evolution of spacecraft propulsion.

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4.2 Chemical Propulsion

Chemical propulsion is based on the principle of converting chemical

energy (or pressure) contained in the propellant to kinetic energy of

thrust engine exhaust gases.

Currently available chemical propulsion systems can be categorised

as either hot gas, or as a border-line case, cold gas.

Propulsion operating with cold gas, represents the simplest form of a

propulsion system, It comprise compressed (inert) gas which is

stored at high pressures in a tank, and vaporising liquids (high

vapour pressure hydrocarbons), which are pressurised by their own

equilibrium vapour pressure. Expelling these gases through a nozzle

creates a thrust force.

Propulsion systems operating with hot gas comprise systems

containing liquid and solid propellants. The energy from an

exothermal combustion reaction of the propellant chemicals in a

thruster results in high temperature reaction product gases, which are

expelled through a nozzle. The maximum exhaust velocity will be

achieved when all enthalpy contained in the gas at the inlet of the

nozzle is transferred into kinetic energy by its expansion in the

nozzle. This is described by the equation of ‘Saint-Venant’ for an

ideal nozzle with a complete expansion of the gas at the outlet of the

nozzle:

M

RTve

)1(

2max

, => in general: ve

M

T , (24)

with the assumption that besides R (gas constant) also κ (specific

heat ratio) is constant. Therefore, for high values of ve, high gas

temperatures T and low molecular mass M are required.

However, it has to be noted that nozzles are not of infinite length so

that gases are not expanded down to absolute vacuum and therefore

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gases leave the outlet of the nozzle with residual enthalpy. In

addition, exhaust velocities ve will be limited by nozzles wall friction

loss, jet divergences, condensation of gas if temperatures become

low enough.

Typical values of ve/ve max for chemical propulsion systems are about:

0.85 ÷ 0,95 for cold gas systems with no thermal losses and

very high area ratio nozzles thus higher nozzle expansion

ratios.

0.6 ÷ 0.8 for hot gas systems because of heat losses.

Finally, exhaust velocities ve will be limited by the available energy

release per unit of mass of propellant which is according to Eq. (11):

P

em

Ev

2 (25)

One of the most energetic chemical reactions release energies such as

for O2 + H2 is about 13.4106 Joules/kg and ve is then 5200 m/s

theoretically, while real values are being around ve = 4200 ÷ 4500

m/s. Therefore, for chemical propulsion, maximum jet exhaust

velocities are limited to <5000 m/s.

Terminology:

Rockets using solid propellants are called motors.

Rockets using liquid propellants are called engines.

The term thruster is used for small thrust application, e.g.

spacecraft auxiliary propulsion systems.

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4.2.1 Cold Gas Cold gas systems operate with compressed inert gas (e.g. nitrogen:

N2) or high vapour pressure hydrocarbons (e.g. ammonia, NH3); see

Table 3 below.

Cold gas systems are shown schematically in Fig.5. The typical

system consists of a propellant tank, fill valve, filter, pressure

regulator, line pressure transducers, control valves, and nozzles. The

pressure regulator provides propellant at constant pressure as the tank

pressure drops. A relief valve is incorporated downstream of the

pressure regulator to prevent system rupture in the case of a regulator

failure. With regard to compressed gas systems, the cold gas is stored

at high pressures (200 - 300 bar) in a tank.

Figure 5: Basic Flow Scheme of Cold Gas Propulsion Systems

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The vaporising liquid system is characterised by a liquid propellant

pressurised by its own equilibrium vapour pressure and the expulsion

of this vapour through a nozzle. In order to provide completely

vaporised gas, a vaporiser is included in liquid cold gas systems.

A typical cold gas thruster configuration is shown schematically in

Fig. 6 below.

Figure 6: Cold Gas Thruster Configuration

A cold gas thruster consists of a solenoid valve with mounted nozzle.

The thruster is operated by opening the solenoid valve with help of

an electric current. Typical thrust range is 0.02 to 10N for spacecraft

attitude and orbit control.

System-specific Impulse, Issp

With regard to the derivation of the Issp for cold gas systems, the

denominator of Eq. (21) has to be further evaluated.

Starting with compressed cold gas systems, usually the cold gas

used is stored at high pressures in a tank. Therefore, for calculating

the gas mass content in the tank, the gas law applies as follows:

TM

RzmVp PTop (26)

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For calculating the tank mass, the so-called Tank- Performance

Factor usually defined as:

T

Top

m

VpK is to be used. (27)

Table 1 below presents typical values of tank K-factors for different

built tank designs and different tank materials for compressed gas,

[5]. According to Eq. (27), the higher the K-factor, the lower will be

the mass of the tank. Consequently, the tank material shall be a high

tensile strength material, such as Titanium Alloy or even better, a

fibre composite material, like Kevlar, see Table 1 below. With regard

to the tank safety factor, see Chapter 4.2.5.

Table 1: Ranges of typical Propellant Tank Performance Factors, K,

for High Pressure Tanks

Type of Tank Average K*

(104 m2/s2)

Range

(+/- 1sigma)

(104 m2/s2)

Remarks

*Tank Safety

Factor: S=2

Titanium Alloy: Ti 6Al4V 6.43 5.87-6.99 High Pressure

Composite Over-wrapped

Pressure Vessel

12.20 8.29-16.11 Tanks

With Eq. (26) and (27) the combined mass of the tank and propellant

is:

KM

zRTmmmm PTPPSS 1 (28)

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With regard to the non-impulse dependent system mass, mHW, such as

thrusters, valves, piping etc., if properly known, mHW can be included

as a mass fraction x (%) of the impulse dependent system mass mPSS.

Table 2 presents values of x based on built spacecraft, which are

noted according to the class of spacecraft. Note, the larger the

spacecraft, in general the larger will be also the impulse dependent

part of the propulsion system because of higher impulse demands

due to higher spacecraft mass. Therefore, the mass fraction x tends to

get lower with respect to increasing tank and propellant mass.

Table 2: Non-Impulse System Mass Factor, x (%), [6]

Class of satellites Nano Micro Mini

(Small satellites)

Medium sized

Macro

(Large satellites)

Mass of satellites [kg] (indication)

1 – 10 10 – 100 100- 500 500 – 1000 > 1000

Factor ‘x’ [%] 21 24 5.6 6.3 4.5

(Average x values of examples for different satellites classes are only indicative)

Hence, Eq. (28) can be expanded to include mHW:

xKM

zRTmmmmmm PHWTPHWPSS

11 (29)

Consequently, with Eqs. (21), (23) and (29), the system-specific

impulse for COMPRESSED GASES becomes:

xKM

zRT

v

mmm

II e

HWTP

totssp

11

(30)

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Further, for vaporising liquids, the mass of liquids in a tank is:

PP Vm (31)

In order to allow certain ullage, the volume of propellant is a certain

fraction (0.5 to 0.9) of the available tank volume. Hence, with VP =

CVT and Eqs. (27) and (31) for the combined mass of tank and

propellant we get:

KC

pmmmm

op

PPTPSS

1 (32)

Again, with regard to the non-impulse dependent system mass, mHW,

as for compressed gas systems, it can be included as a mass fraction

x (%) of the impulse dependent system mass mPSS. Hence, Eq. (32)

can be expanded to include mHW:

xKC

pmmmmmm

op

PHWPTHWPSS

11

(33)

With Eqs. (21), (23) and (33) the system-specific impulse for

VAPORISING LIQUIDS becomes:

xKC

p

v

mmm

II

op

e

HWTP

tot

ssp

11

(34)

From Eqs. (30) and (34) it is obvious, that the thruster exhaust

velocity, ve ≡ Isp, the non-impulse dependent system mass x as well

as the type of propellant and the tank performance factor K

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influences the Issp. However, high values of Issp are mainly dictated

by high values of ve and low values of x, while all other parameters

are of secondary importance.

With regard to vaporising liquids, while no great improvement over

inert gas thrusters exhaust velocity ve can be obtained, considerable

savings in propellant storage mass result from the propellant’s high

density and low pressure. This is illustrated by values of Isp and Issp

as in indicated by examples for actual cold gas propulsion systems,

presented in Table 3 below. Note, that calculated values of Issp show

a good agreement with actual values of Issp. This confirms that the

Issp-analytical tool describes very well those design parameters which

characterise the system’s propulsive performances.

Table 3: Actual Cold Gas Propulsion Systems Performances (Listed data are examples and therefore only indicative)

PROPELLANT

THRUSTER

SPEC.-

IMPULSE

Isp (mission

average)

(Ns/kg)

TOTAL

IMPULSE

Itot

(Ns)

PROP.

SYSTEM

MASS

mPS

(kg)

SYSTEM

SPEC.-

IMPULSE

Issp

(Ns/kg)

REMARKS

Actual Propulsion Systems

Issp values derived from

Ref. 7 if not noted

otherwise

Nitrogen (N2) 706 845 4.4 193 Vela III

Mol.Mass (M):

28 kg/kmol 706 6780 24 283 COS-B; 8

z = 1.13, at tank

pressure 250 bar 706 - - 273 Calculated: tank material:

Ti 6Al 4V; K= 6.8·104

m2/s

2

x = 5.6% (small S/C)

Argon (A) 510 3900 16.8 232 OGO A,B,C

Mol.Mass (M):

39.9 kg/kmol 510 5500 24.3 226 TD-1A 9

z = 1.02, at tank

pressure 250 bar 510 - - 248 Calculated: tank material:

Ti 6Al 4V; K= 6.8·104

m2/s

2

x = 5.6% (small S/C)

Ammonia (NH3) 800 4450 6.8 654 NRL Explorer 30 (1965)

=0.62 (kg/m3)·10

3

Max. op. pressure

at 30C: 12 bar

800 - - 663

Calculated: Al tank with

vaporizer: K=1.5·104

m2/s

2

C=0.9; x = 5.6% (small S/C)

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Conclusion

Although of moderate impulse capability, cold gas systems, in

particular systems operating with compressed cold gas, as with

Nitrogen, N2, are still of interest in view of their simplicity, high

reliability and repeatability of impulse bit.

ADVANTAGES:

- simplicity and reliability;

- lowest cost propulsion system;

- very low thrust ( 10 N) and impulse bit ( 10-4

Ns)

capability;

- low plume contamination.

DISADVANTAGES:

- low Isp ( 950 Ns/kg) low Issp ( 650 Ns/kg) with

resulting high system mass.

4.2.2 Hot Gas (survey)

For increasing absolute levels of thrust and impulse requirements for

spacecraft propulsion (e.g. orbit transfer and orbit control), cold gas

systems are inadequate and more energetic propellants generating hot

gas for mass expulsion are required, see Eq. (24).

Hot gas systems are the most common type of propulsion systems for

space applications. They can be divided into three basic categories:

- liquid, comprising monopropellant hydrazine (N2H4) and

storable bipropellant (MMH/N2O4);

- solid, with composite propellants;

- hybrid (so far not used for spacecraft propulsion).

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The terminology refers to the physical state of the stored propellants

as illustrated in Fig.7 below. Note, only systems containing liquid in

form of monopropellant hydrazine or bi-propellants and solid

propellants are used for spacecraft propulsion, while hybrid

propulsion systems are used for launch propulsion.

Figure 7: Schematic of Hot Gas Propulsion Systems

In contrast to compressed gas and vaporising liquids, liquid

propellants need to be pressurised in the tank to feed the thrusters

with propellant. Note that due to long spaceflight mission durations,

only pressure-fed systems are used because of their inherent

simplicity compared with pump-fed systems, which are used

commonly for launch propulsion. Therefore, hot gas propulsion

systems for spacecrafts in the gravity-free environment need

propellant tanks equipped with propellant management devices in

order to separate liquids from the pressurising gas; - details see

Chapters 4.2.3 and 4.2.4 below.

Oxidiser

Oxidiser (liquid)

Fuel

Fuel (solid)

Liquid

Hybrid

Solid

Solid Propellant

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4.2.3 Monopropellant

Monopropellant systems use a single (Mono) propellant to produce

thrust. The most commonly used monopropellant is anhydrous

hydrazine (N2H4), as noted in Table 5 below. The hydrazine

propellant is decomposed in a thruster by a catalyst and the resulting

hot gas is expelled through a nozzle, thus generating thrust force on

the spacecraft. A typical monopropellant system, as shown

schematically in Fig.8, uses generally nitrogen gas to expel the

propellant from a diaphragm tank into the chamber catalyst beds of

the thrusters. The typical system contains fill and drain valves for the

pressurant gas and for the monopropellant hydrazine.

Figure 8: Basic Flow Scheme of Monopropellant Hydrazine

Propulsion Systems

T

P

Hydrazine System with Catalytic Thrusters

T

Hydrazine Gas Generator System

vvvvvvv

T T

X

Fill Valve (Nitrogen)

Temperature Sensor

Propellant Tank(diaphragm)

Fill Valve (Hydrazine)

Pressure Transducer

Filter

Thruster

P

P

Latch-

Valve

SolenoidValve

HydrazineDecomposit.Chamber

Gas-Store

Tank

Filter

N2H4

N2 N2

N2H4

T

P

Hydrazine System with Catalytic Thrusters

T

Hydrazine Gas Generator System

vvvvvvv

T T

X

Fill Valve (Nitrogen)

Temperature Sensor

Propellant Tank(diaphragm)

Fill Valve (Hydrazine)

Pressure Transducer

Filter

Thruster

P

P

Latch-

Valve

SolenoidValve

HydrazineDecomposit.Chamber

Gas-Store

Tank

Filter

N2H4

N2 N2

N2H4

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In addition the system contains latch valves and line pressure

transducers. Filters are provided upstream of line valves to prevent

damage of the valve seats or clogging the injectors of thrusters by

entrained foreign material.

Since the pressurant gas is stored (at a pre-selected but relatively low

pressure, e.g. 22 bar) in the propellant tank, the propellant pressure

varies with propellant usage. A typical selection of the ullage volume

of 25% filled with pressurant gas (thus containing 75% propellant)

will result in a propellant feed pressure decay, and thus in a thrust

decay of 4:1. This mode of operation is also referred to as the blow-

down mode, in contrast to the pressure constant mode, which

requires the storage of a high-pressure gas in a tank external to the

propellant tank (see ‘Bipropellant systems’).

A typical monopropellant hydrazine thruster configuration is shown

schematically in Fig.9 below. Thrust is produced by decomposition

of hydrazine into hot gas in the presence of a catalyst such as iridium

metal supported by high-surface-area aluminum oxide granulates.

The catalyst causes the hydrazine to decompose into ammonia,

nitrogen gas and hydrogen gas at high temperature up to 1100 oC.

This results in a fairly high specific impulse of up to Isp= 2300 Ns/kg.

Typical thrust range is 0.5 to 22N for spacecraft attitude and orbit

control maneuvers.

Propellant Inlet with Filter

Solenoid Valve (not shown)

Heat Barrier

Injector Head

Injector

with Catalyst

Nozzle

Decomposition Chamber

Thermal Insolation

Figure 9: Monopropellant Hydrazine Thruster Configuration

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System-specific Impulse, Issp

With regard to the derivation of the Issp for systems operating with

liquid propellants, the denominator of Eq. (21) has to be further

determined. In contrast to compressed gas and vaporising liquids,

liquid propellants need to be pressurised to feed the thrusters with

propellant. Therefore, the mass of the pressurising gas mpr and, if

necessary, an extra tank with mTpr for the pressurising gas has to be

taken into account.

No extra tank for the pressurising gas is needed for the blow-down

mode, which is the most widely used means of tank pressurisation

for monopropellant hydrazine. As already mentioned above, at the

beginning of a mission the volume of the propellant is a certain

fraction C (mostly 0.75 for a blow-down ratio of 4:1) of the internal

tank volume. Consequently, the volume of pressurising gas in the

propellant tank will be Vpr = (1-C)VT. Therefore, the mass of the gas

can be derived easily from the gas law and will be with Eqs. (26) and

(27):

zRT

MCKmm T

pr

)1( (35)

With Eq. (33) and (35) the combined mass of tank with propellant

incl. pressurising gas and non-impulse dependent system mass mHW

is given by:

HWprPTHWPSS mmmmmm =

= xzRT

MCK

KC

pm

op

P

1

)1(11

(36)

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With (21), (23) and (36) we obtain the final expression for the Issp of

systems operating with stored liquid and with contained pressurising

gas in the propellant tank, representing the ”BLOW-DOWN MODE”:

HWprPT

totssp mmmm

II

=

xzRT

MCK

KC

p

v

op

e

1)1(

11

(37)

Eq. (37) shows, that both the type of propellant (represented by ve, ,

- a high ve and a high are desirable) and the propellant storage

conditions (propellant-storage pressure pop, tank-filling ratio C, type

of pressurising gas, tank performance factor K) influence the system-

spec. impulse. However, as already mentioned for cold gas, it has to

be noted from Eq. (37), that high values of Issp are mainly dictated by

maximum values of thrusters exhaust velocity ve (Isp) and low values

of impulse independent system mass x, while all other parameters

noted above will have only a secondary impact on values of Issp.

With regard to tank K-factors, propellant tanks, with liquid

propellants in contrast to cold gas systems, need propellant

management devices. In the case of monopropellant hydrazine, tanks

are equipped with positive expulsion devices, which are diaphragms,

and which mechanically separate the pressurizing gas from the liquid

propellant in the tank during the gravity-free condition of spaceflight

missions. Diaphragms are made typically of Buthyl-and Ethylene

Propylene rubber materials. For more aggressive bi-propellant

liquids (see Chapter 4.2.4. below), only surface tension devices made

of stainless steel screens can be used. They work by using surface

tension forces between the propellant liquid and the metal screen to

separate liquid from the pressurising gas.

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Table 4: Ranges of typical Propellant Tank Performance Factors-K

for Liquid Propellant Tanks, [5]

Type of Tank Average K*

(104 m2/s2)

Range

(+/-1 sigma)

(104 m2/s2)

Remarks

* Tank Safety

Factor: S = 2

Diaphragm 2.25 1.53-2.97 Tank Material:

Surface tension 3.32 2.28-4.36 Titanium Alloy

No propellant propellant

management device

4.06 3.41-4.71 Ti 6Al4V

Because of the more energetic propellant hydrazine generating hot

gas for mass expulsion, higher values of ve, and Issp are achieved

when compared with cold gas thrusters; see Table 5 below.

Table 5: Performances of Actual Hydrazine Propulsion Systems

(Listed data are examples and therefore only indicative)

PROPELLANT

THRUSTER

SPEC.-

IMPULSE

Isp (mission

average)

(Ns/kg)

TOTAL

IMPULSE

Itot

(Ns)

PROPUL-

SION

SYSTEM

MASS

mPS

(kg)

SYSTEM

SPEC.-

IMPULSE

Issp

(Ns/kg)

REMARKS

Actual Propulsion

Systems

Issp values derived

from Ref. 10

Monopropellant 2163 2.64 105 142 1859 ECS

Hydrazine: 2134 6.40 105 375 1707 ERS-1

N2H4 2110 9.50 104 66 1440 EXOSAT 2110 6.41 104 38 1687 GEOS

ve 2300 m/s; 2163 1.49 105 80.1 1860 GIOTTO

= 1.0·103 kg/m

3 2163 7.25 104 48.8 1486 ULYSSES

2168 2.36 105 130 1815 MARECS

2060 8.24 104 53 1555 METEOSAT

2168 3.04 105 168 1810 TELECOM-1

N2 pressurant gas,

Max. op. pressure:

pop=22 bar

2150 − − 1781 Calculated: Issp for

diaphragm tank:

C=0.75,

K=2.3104 m2/s2,

x = 6% (medium S/C)

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For comparison, a calculated Issp-value for typical propellant storage

and non-impulse system mass x, parameters are also presented in

Table 5, showing an overall good agreement with Issp-values of actual

spacecraft propulsion systems.

Conclusion

Monopropellant hydrazine for spacecraft attitude and orbit control is

one of the most widely used propellants. The primary reason for such

wide acceptance of monopropellant hydrazine propulsion systems

lies in their inherent simplicity (reliability) while still providing

adequate propulsive performance.

ADVANTAGES:

- simplicity and reliability (monopropellant);

- lowest cost propulsion system (other than cold gas);

- space storable for long periods (> 15 years demonstrated);

- low thrust capability ( 0.5 N);

- moderate thrust levels available ( 22 N).

DISADVANTAGES:

- moderate Isp ( 2300 Ns/kg) with moderate Issp

( 1900 Ns/kg) resulting in medium to high system mass;

- limited life of catalyst.

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4.2.4 Bipropellant

Bipropellant systems are characterised by the combustion of two

(Bi) propellants, a fuel (e.g. monomethyl-hydrazine, CH3NHNH2)

and an oxidiser (e.g. nitrogen tetroxide, N2O4), to produce thrust.

A typical bipropellant system is shown schematically in Fig.10.

Figure 10: Basic Flow Scheme of Bipropellant Systems

T

P

P P

MON MMH

TT

Temperature Sensor

Tank for Pressurant Gas

Fill Valve (H )

Pressure Transducer

Pyro-Valve

(normally closed)

Filter

Pressure Regulator

Pressure Relief Valve

Check Valve

Pyro-Valve

(normally open)

Test Port

Temperature Sensor

Propellant Tank(surface tension)

Fill Valves (MON/MMH)

Pressure Transducer

Pyro-Valve(normally closed)

Filter

Thruster

e

HeT

P

P P

MON MMH

TT

Temperature Sensor

Tank for Pressurant Gas

Fill Valve (H )

Pressure Transducer

Pyro-Valve

(normally closed)

Filter

Pressure Regulator

Pressure Relief Valve

Check Valve

Pyro-Valve

(normally open)

Test Port

Temperature Sensor

Propellant Tank(surface tension)

Fill Valves (MON/MMH)

Pressure Transducer

Pyro-Valve(normally closed)

Filter

Thruster

e

He

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The propellants are injected separately into the thruster combustion

chamber where they react spontaneously (hypergolic propellant) to

perform high-temperature, low molecular weight combustion

products, which are then expelled through a nozzle. A typical

bipropellant thruster configuration is shown schematically in Fig.11

below. Typical thrust range is 4 to 500N for spacecraft attitude and

orbit control.

Figure 11: Bipropellant Thruster Configuration

The Bipropellant system basically consists of a pressurising-gas

system, propellant tanks (with surface tension propellant

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management devices), propellant lines and thrusters. Unlike

hydrazine thrusters, bipropellant thrusters accept only a limited range

of propellant inlet pressure variation of < 2. Therefore, the high-

pressure gas, generally helium, contained in a separate high pressure

tank, is regulated to the desired tank pressure, e.g. 17.5 bar. This

mode of operation is also referred to as the pressure constant mode.

The system contains check valves upstream of the propellant tanks to

prevent possible back-flow, mixing, and combustion of the

propellant vapours in the common pressurant gas line. Relief valves

are incorporated in the system upstream of the propellant tanks to

prevent system rupture in the event of a pressure regulator failure.

Filters are provided in the propellant lines upstream of the line valves

to prevent damage of the valve seats or clogging of injectors of

thrusters by contamination. Finally, the systems contains pyro- or

latch valves, line pressure transducers, fill and drain valves and

various test ports for system check out.

System-specific Impulse, Issp

In the case of the constant pressure mode, which is the common

mode of tank pressurisation for storable bipropellants, C is usually

close to 1 (e.g. 0.95) and the mass of the tank containing the

pressurising gas has to be added to the tankage mass; see Fig.10

above.

To include the constant pressure mode in our calculations, Eq. (37)

has to be modified to include the mass of the extra gas storage tank.

For the mass of the pressurising gas plus the extra gas storage tank

we get with Eq. (28) - as already derived for compressed gases:

MK

RTzmmm

pr

pr

prTprpr 1 (38)

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The pressurising gas will have to fill the propellant tank plus the gas

storage tank at the end of the spacecraft mission. Therefore, with the

gas storage tank estimated to have a volume of about 10% of that of

the propellant tank, the mass of the pressurising gas can be calculated

with the help of the gas law (see Eq. (26)):

zRT

MVpm

Top

pr

1.1 (39)

With help of Eqs. (38) and (39), Eq. (36) can be now expanded to:

HWTprprpTHWPSS mmmmmmm =

xMK

RTz

zRT

Mp

zRT

MCK

KC

pm

pr

propP

P

op

p

11

1.1)1(11

(40)

With (21), (23) and (40) we obtain the final expression for the

system-spec. impulse of systems operating with liquid propellants in

the ”CONSTANT PRESSURE MODE”:

HWTprprpT

tot

ssp mmmmm

II

xMK

RTz

zRT

Mp

zRT

MCK

KC

p

v

pr

propP

P

op

e

111.1)1(

11

(41)

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- 37 -

From Eq. (41) it is obvious that, as in the case of the blow-down

mode, both the type of propellant and propellant storage conditions

as well as the non-impulse dependent propulsion system mass x have

a major effect on the Issp. Because of the even more energetic bi-

propellant combinations, when compared with monopropellant

hydrazine, higher values of ve, and Issp can be achieved; see Table 6.

For comparison, a calculated Issp-value for typical propellant storage

and non-impulse system mass parameters are presented in Table 6,

showing an overall good agreement with Issp-values of actual built

spacecraft propulsion systems.

Table 6: Actual Bipropellant Propulsion Systems Performances (Listed data are examples and therefore only indicative)

PROPELLANT

THRUSTER

SPEC.-

IMPULSE

Isp (mission

average)

(Ns/kg)

TOTAL

IMPULSE

Itot

(Ns)

PROPUL-

SION

SYSTEM

MASS

mPS

(kg)

SYSTEM

SPEC.-

IMPULSE

Issp

(Ns/kg)

REMARKS

Actual Propulsion

Systems

Issp values derived

from Ref. 10

Bi-Propellant 2963 2.22 106 849 2615 DFS

Fuel:Monomethyl- 2900 2.89 106 1101 2625 EUROSTAR

2900 3.10 106 1170 2650 EUTELSAT-2 hydrazine (MMH) 2900 2.70 106 1147 2354 GALILEO CH3N2H3 2900 2.20 106 847 2597 INMARSAT-2 Oxidiser: Nitrogen 2930 5.05 106 1839 2746 OLYMPUS Tetroxide (NTO)

N2O4 2960 3.05 106 1147 2659 TVSAT/TDF1/

TELE-X

ve 3120 m/s 2900 3.34 106 1253 2666 TELECOM-2

r = 1.65; mix. ratio

1.15·103 kg/m

3

Max. op. pressure:

pop =17.5 bar

He pressurant gas:

K= 105 m

2/s

2

Kevlar tank

2950 - - 2639 Calculated: Issp for

surface tension tank:

C=0.95,

K=3.3104 m2/s2

x = 4.5% (large S/C)

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Conclusion

Bipropellant systems are more complex and therefore more

expensive than monopropellant hydrazine systems. However, their

potential high system costs is compensated by their higher impulse

performance (high Issp) resulting in lower propulsion mass fraction

allowing a higher payload mass. Therefore, bipropellant systems are

mainly used for commercial spacecrafts with missions of high

impulse requirements. E.g. for geostationary communication

satellites, they form a single unified propulsion system, giving

maximum flexibility in the shared use of the propellant between the

orbit transfer operation, as well as the apogee and attitude control

functions.

ADVANTAGES:

- high Isp: ( 2900 Ns/kg) for F 25 N, Issp ( 2800 Ns/kg)

( 3110 Ns/kg) for F 500 N,

- high thrust capability, - up to 45 000 N.

DISADVANTAGES:

- system complexity with added valves, regulators, etc.;

- higher cost in comparison to monopropellant hydrazine systems.

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4.2.5 General System Design Considerations

In order to ensure safety of personnel during spacecraft ground

operations, in general the following pressure ratings of

pressurized systems have to be followed:

- The burst pressure (causing rupture) of the

integrated system shall be not less than four

times the maximum system operating pressure.

Only the tank burst pressure in general is two

times the maximum propellant storage pressure

for the reason of low tank mass.

- The proof pressure (checking safety) of the

integrated system shall be not less than 1.5 times

the maximum system operating pressure. The

system has to pass successfully the proof

pressure before operating it for the first time.

This applies also for the case of system repair

where faulty equipment has to be replaced. After

repair, again the system has to pass successfully

a proof pressure cycle.

In general, propellant feed systems are an all-welded design in order

to minimize mass and ensure leak-tightness. Screw mounted

connections are used only for the connection of thrusters. This allows

easy mounting and even later replacement of this equipment if

required.

All components, which are in contact with the propellants are

designed for and have demonstrated their long term compatibility.

Therefore, high strength titanium alloy 6AL4V and pure titanium

A40 are normally used for tanks and all other components including

tubing lines.

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- 40 -

4.2.6 Solid Propellant

The solid propellant rocket motor consists of a motor case,

containing a propellant grain, a nozzle and an igniter. The schematic

is shown in Fig.12.

There are two principal types of propellants:

- homogeneous propellants, which are composed of fuels that

contain enough chemically bonded oxygen to sustain the

propellant burning process,

- composite propellants, which are a mixture of powdered

metal (fuel), crystalline oxidiser and a polymer binder.

Most common is the use of composite propellants, usually based on

solid aluminium powder held in a hydroxyl terminated polybutadiene

(HTPB) synthetic rubber binder and stable solid oxidiser like

ammonium perchlorate (AP). The propellant is premixed and batch

loaded into lightweight simple motors.

Figure 12: Schematic of Solid Propellant Motor

SCHEMATIC OF SOLID PROPELLANT MOTOR

Igniter Motor Case Nozzle

Propellant Grain

Hot GasExhaust

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System-specific Impulse, Issp

With regard to solid propellant rocket motors propulsion, Eq. (34)

of vaporising liquids (see Chapter 4.2.1 above) may be applied. In a

solid motor (see Fig.12), the propellant tank and the combustion

chamber are contained in the motor case. The motor case mcase mT

is filled with propellant mP according to the volumetric loading

fraction Ccase ( 90%), and during motor operation, the motor

chamber pressure will be: pc pop.

Therefore, with Eq. (34) the System-spec. Impulse becomes for

SOLID PROPELLANT ROCKET MOTORS:

xKC

p

v

mmm

II

casecase

c

e

HWcaseP

totssp

11

(42)

Table 7: Performances of Actual Solid Propellant Motor Systems (Listed data are examples and therefore only indicative)

PROPELLANT

THRUSTER

SPEC.-

IMPULSE

Isp (mission

average)

(Ns/kg)

TOTAL

IMPULSE

Itot

(Ns)

PROPUL-

SION

SYSTEM

MASS

mPS

(kg)

SYSTEM

SPEC.-

IMPULSE

Issp

(Ns/kg)

REMARKS

Actual Propulsion

Systems

Solid Propellant

(HTPB)

2842 7.73 106 2960 2611 Orbus-6 Inert.Upp.

Stage Motor [1]

ve ≤ 3000 m/s 2852 1.17 106 447 2617 MAGE 1S Apogee

Kick Motor [11]

2880 1.41 106 528 2670 MAGE 2 Apogee

Kick Motor [11]

2858 4.58 106 1729 2649 Solid End-burning

Motor [12]

2842

2620

Calculated: Issp for

Pc= 5.8 106 N/m2,

C=0.92, x=0%

K=4.2·104 m2/s2,

ρ=1.76·103 kg/m3

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- 42 -

From Eq. (42) it is obvious, that the motor exhaust velocity ve ≡ Isp,

as well as the type of propellant (ρ), the motor case performance

factor Kcase, and the volumetric loading fraction Ccase influence the

Issp. As to be seen from Eq. (42), for high values of Issp, above all the

thrust exhaust velocity ve shall be high while the hardware mass x

shall be low. All other parameters are of secondary importance for

the value of the Issp. Table 7 shows a good overall agreement of

calculated with actual values of Issp.

Conclusion

In general, solid propulsion motors can only deliver their total

impulse potential in one firing, because off-modulation is not

possible. Therefore the usage of solid propulsion is restricted to:

- orbit change (e.g. apogee or perigee manoeuvre);

- impart acceleration (e.g. liquid reorientation maneuvers,

separation maneuvers).

ADVANTAGES:

- relatively simple operation;

- very high mass fraction, excellent bulk density and

packaging characteristics;

- good, long-term storage characteristics.

DISADVANTAGES:

- not readily tested and checked-out prior to flight;

- very difficult to stop and restart, throttle, pulse, etc.

(hybrid);

- limited Isp performance (2800 - 3000 Ns/kg);

- limited redundancy with associated reliability and safety

issues.

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4.3 Electric Propulsion

4.3.1 Propulsion Concepts

In order to increase propulsion system impulse performance, e.g. for

interplanetary missions, the jet exhaust velocity has to be increased

beyond the ve ≤ 5000 m/s, which is best available from chemical

propulsion. This can be achieved by electrical propulsion that relies

on externally provided electric power to accelerate the working fluid

(propellant) to produce useful thrust. There are three main methods

by which the electrical energy may be converted into the kinetic

energy of thrust:

- Electrothermal Systems, where the propellant (gas) is

heated by passing it over an electric heated solid surface

(resistojet), or by passing it through an arc discharge

(arcjet). The heated gas is then accelerated by gas-dynamic

expansion in a nozzle. Typical applications of this principle

are the monopropellant hydrazine operated Power

Augmented Catalytic Thruster (PACT) and the Hydrazine-

Arcjet.

Figure 13: Schematic of Resistojet Thruster

Heater

Power Supply Gas Inlet Heat Exchanger

_

+Hot Gas

Exhaust

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- 44 -

- Electromagnetic Systems, where a gas is heated in an arc

discharge to such a high temperature, that it is converted to

neutral plasma (plasma thruster). The plasma is then

expelled at high velocity by the interaction of the discharge

current with the magnetic field (Lorentz force). A typical

application of this principle is the Magneto-Plasma-

Dynamic (MPD) type of thruster.

Figure 14: Schematic of Magnetic Arcjet Thruster

- Electrostatic Systems, where usually a high molecular

propellant, such as xenon gas, is ionised (ion thruster) by

e.g. electron bombardment (Kaufman thrusters), or in a high

frequency electro-magnetic field (radio-frequency thrusters)

or by extracting ions from the surface of a liquid metal

(caesium) under the effect of a strong electrostatic field

(field emission). The ions are then accelerated to high

velocity (30 to 100 km/s) by a strong electric field.

Electrons are injected into the exhaust ion beam from an

electron emitter in order to keep it electrically neutral, thus

preventing an electric charge build-up of the spacecraft.

+

Gas Inlet Cathode AnodePower Supply

Plasma

Exhaust

Arc-Discharge

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- 45 -

To the above described category of ion thrusters, the

Stationary Plasma Thruster (SPT), which belongs to the

category of Hall-effect Thrusters, uses an applied magnetic

field to control electrons in a quasi-neutral plasma

discharge.

Figure 15: Schematic of Ion Thruster

Finally, as an example of liquid propellants for electrostatic

electric propulsion, Caesium (Cs) is the propellant of choice

with a melting point of 29°C. Caesium, as a liquid metal, is

also desirable because it has a high atomic mass and

effectively wets metal surfaces. It is used for field emission

thrusters, or Field Emission Electric Propulsion (FEEP)

devices.

In a FEEP thruster, a strong electric field is established at

the tip (tailored cones) of a pair of closely spaced electrodes,

which even form a capillary propellant feed system for the

liquid caesium. See also the schematic of the FEEP thruster

which is shown below.

Ioniser Exit GridIoniserPropellant Supply

Positiv Ion Beam

Electron Emitter

Power Supply

AcceleratorGrid

+_

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- 46 -

Fig. 16: FEEP Thruster Schematic

When the field reaches a threshold value, which is in the

order of 106 V/mm (for caesium), atoms on the surface of the

tip of the electrodes are ionised and eventually removed.

They are then accelerated to a high velocity in between the

positive emitter (tailored cones) and the negative accelerator

electrode. Expelled ions are replenished by the flow of liquid

propellant in the capillary feed system. A separate neutraliser

is required to maintain charge neutrality of the system.

FEEP-thrusters can achieve very high exhaust velocities up to

105 m/s at the expense of low thrust levels. This is due to the

limit of power available from the spacecraft. E.g., if we take

P = 1kW available, assuming an overall power conversion

efficiency of η=0.5, then with Eq. (13) we will get for the

thrust force: 010.010

5.021000

5

F N.

Conclusion: Thrust levels of electric propulsion are << thrust

levels of chemical propulsion

Field Emission Electric Propulsion (FEEP) Thruster

• Very High Isp

6000 to 10000 s.

• F = 10 N to 2 mN

• Cesium, Rubidium, Indium.

• Efficiency = 98%

- (Ion~30%; PPT~17

• Self contained propellant

reservoir.

• No moving parts.

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4.3.2 Propulsion System Design and Performance

An electric propulsion system consists of a power generator (solar or

nuclear), power processing system (unit), electric control unit,

thruster assembly, propellant storage and propellant feed system (see

also Fig. 3, Chapter 4.1 above).

Figure 17: Electric Propulsion System Block Diagram

- Power Generator

Electric power can be obtained from either sunlight or from a

nuclear reactor. In the case of solar electric propulsion, solar

Plasma/Ion-Jet Power

Processing

Unit

Control Unit

Solar Array Solar Array

Propellant

Tank

Propellant

Feed

System

S/C

Interface

Gimbal

Thruster

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- 48 -

photons are converted into electricity by solar cells. In nuclear

electric propulsion, thermal energy from the nuclear reactor is

converted into electricity by either a static or dynamic thermal-to-

electric power conversion system. Static, thermoelectric systems

have the advantage of no moving parts for high reliability, but they

have low efficiency. Dynamic systems have moving parts (e.g.,

turbines, generators, etc.) and do not scale well for small systems,

but they do have a higher efficiency.

- Power Processing System

Power processing systems are required to convert the voltage from

the power generator to the form required by the electric thruster.

For example, a solar array produces low-voltage DC (typically ~

100 V); this would need to be converted (via transformers, etc.) to

kilovolt levels for use in an ion thruster. The power processing

system is often referred to as the Power-Processing Unit (PPU).

- Electric Control Unit to operate electrically valves and thrusters.

- Propellant Storage & Feed Systems

Various combinations of propellant and thruster are possible,

depending on the specific application. In general, liquid or gaseous

propellants are stored and fed to the thruster assemblies as in

chemical propulsion. Details see also [1].

System-specific Impulse, Issp

Electric propulsion relies on externally provided electric power to

create or augment the kinetic energy of the exhaust jet. Therefore, for

the evaluation of the system-spec. impulse, the mass of the electric

power (supply- and processing) system, as depicted in Fig.3 and

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- 49 -

Fig.17, has to be considered in addition to the propellant storage

system as already dealt with for chemical propulsion systems.

To describe the performance of electric propulsion systems, the

denominator of Eq. (22) has to be further determined. Both, the mass

of the propellant storage system and the mass of the electric power

supply system have to be considered.

For systems operation with gaseous propellants, e.g. xenon, the

combined mass of tank and propellant is calculated according to the

Eq. (28) as derived for cold gas systems above. The mass of the

electric power supply and processing system is calculated with the

system specific power W/kg:

PmEl (43)

where:

2ev

FP (44)

is the system input of electrical energy and = Pjet/P is the overall

energy conversion efficiency.

With Eqs. (29), (43) and (44) the combined mass of the propellant

storage system and the electric power system is calculated for

systems operating with gaseous propellants:

HWElTPHWElPSS mmmmmmm

xm

Fv

KM

zRTm

P

e

P

1

21

(45)

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- 50 -

The system-specific impulse becomes with Eqs. (22) and (45):

xm

Fv

KM

zRT

v

mmmm

II

P

e

e

HWElTP

tot

ssp

12

1

(46)

And for:

ee

Pv

F

v

Ftm

(47)

with t =, which is the thruster operating time (s), the system-spec.

impulse for ELECTRIC PROPULSION SYSTEMS, operating with

gaseous propellants, becomes finally:

xv

KM

zRT

vI

e

e

ssp

12

12

(48)

Eq. (48) shows that the Issp for electric propulsion systems depends

on the parameters of propellant storage as well as on the energy

supply and processing systems. According to Eq. (48), for high

values of Issp, high values of ve and low values of x are required.

However, with regard to the impact of the energy supply and

processing system on the Issp, low values of ve and high values of γ

and as well as long thrust operation times τ are preferred. With

regard to the controversial requirement for ve, there must be optimal

values of ve-opt, which will result in maximum values of Issp.

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- 51 -

The term of an optimal exhaust velocity ve-opt can be elucidated

schematically by the following picture:

Figure 18: Term of Optimal Exhaust Velocity

With increasing exhaust velocity ve, the combined mass of propellant

and tank is decreasing while the mass of the power supply (with

power processing) system is increasing. The point of inter-section of

the two curves determines the minimum of the system mass by ve-opt

resulting in a maximum value of Issp.

This diagram shows clearly, that with increasing thrusters exhaust

velocity ve, the mass of propellant becomes less important for the

mass of electric propulsion systems and therefore the system-spec.

impulse Issp, describes better the system performance than the usually

used Isp, which is only propellant related.

Maximum values of Issp can be derived by observing the first and

second derivates of Eq. (48) with regard to ve.

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- 52 -

The first derivate of Eq. (48) with regard to ve has to be set equal to

zero:

0

1

)(2

b

va

v

dv

dI

dv

d

e

e

e

ssp

e

(49)

where:

KM

zRTa and 2b (50)

Explicitly it follows with Eq. (49)

2

2

2

1

1

0)(

b

va

b

va

Idv

d

e

e

ssp

e

(51)

Hence maximum and minimum values of Issp will be for:

)1( abve (52)

For a maximum value of Issp, the second derivate of Eq. (48) shall

be <0.

It follows for the second derivate of Eq. (48):

0

1

)1(2

)1(2

22

2

b

va

b

ab

abIvd

d

e

ssp

e

, (53)

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resulting in a maximum value for Issp with the optimal thruster

exhaust velocity of:

KM

zRTv opte 12 (54)

In a similar way, the system-spec. impulse and the optimal thruster

exhaust velocity can be determined for electric propulsion systems

operating with liquid propellants, by taking into account the relevant

expressions for mass of the propellant storage systems as derived for

vaporising liquid gas- or hot gas systems above. For ELECTRIC

PROPULSION operating with e.g. vaporising liquid gas, the system-

spec. impulse becomes:

xv

KC

p

vI

eop

e

ssp

12

12

(55)

The Issp will be a maximum for the optimal thruster exhaust velocity

of:

KC

pv

op

opte

12 (56)

Therefore, for electric propulsion high impulse performance is not

dictated by maximum exhaust velocity, like for chemical propulsion,

but rather by optimum values of thrusters exhaust velocity ve-opt.

Here, high values of Issp, that is high values of ve-opt, will be achieved

mainly for high values of overall specific power , overall power

conversion efficiency , and thrust operation time . The thrust

operation time will be mainly dictated by mission manoeuvre

operating times and/or max. life of thrusters.

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Parameters of the xenon gas storage system, like gas compressibility

factor z, tank performance factor K, gas storage temperature T, and

gas molecular mass M, will have only a secondary impact on values

of Issp.

A precise quantitative determination of the Issp of electric propulsion

systems is more difficult than for chemical propulsion systems. In the

case of electrical propulsion, the electrical power can be shared

partly and/or temporarily with the payload of a spacecraft. Here, Issp

is dependent on the operative conditions of a spacecraft. Therefore,

in order to allow a more quantitative comparison of actual electric

propulsion systems, Table 8 lists examples without considering their

power supply (solar array) systems. Listed examples are electrostatic

systems with Stationary Plasma Thrusters, SPT, and Kaufman-type

of ion thrusters.

Table 8: Performances of Actual Electric Propulsion Systems (Listed data are examples and therefore only indicative)

PROPELLANT

THRUSTER

SPEC.-

IMPULSE

Isp (mission

average)

(Ns/kg)

TOTAL

IMPULSE

Itot

(Ns)

PROPUL-

SION

SYSTEM

MASS

mPS

(kg)

SYSTEM

SPEC.-

IMPULSE

Issp

(Ns/kg)

REMARKS

Actual Propulsion

Systems

Electric

Propulsion Xenon

14700 7.65· 105 128 5980 GALS [13];

Stationary Plasma

Thruster, SPT-100

Xenon (Xe)

Mol.Mass (M):

15107 1.2106

111 10811 SMART-1; 14, 15;

PPS 1350 (SPT)

4 kg/kmol

21580 1.15·10

6 96 11980 ETS-VIII 16,

Kaufman-type Xenon

Ion Thruster

z = 0.3, at tank

pressure 150 bar;

K= 1105 m

2/s

2;

15000

11287

Calculated:

Xe-Propellant,

γ=82 W/kg; =50%,

=5000h, x=10%;

SPT-100

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Table 8 notes the differences between the propulsion performance

reference numbers Isp (ve) and Issp. Hence, the differences becomes of

particular interest with respect to the calculation of the ‘propulsion

system mass fraction’, mSP/mSC. Usually this is done by taking into

account the rocket equation and calculating the mass of propellant,

Eq. (9). However, taking into account the entire propulsion system

mass, the ‘propulsion system mass fraction’ has to be calculated with

Eq. (19), which is related to the Issp.

The differences in calculating the ‘propulsion system mass fraction’

can be illustrated by the SMART-1 project (the first European

spacecraft travelled to and orbit the Moon [14] [15]) as noted in

Table 8. Results are elucidated in diagram Fig. 19 below.

0 1000 2000 3000 4000

0,00

0,05

0,10

0,15

0,20

0,25

0,30

0,35

0,40

(2)

(1)

(1) Calculated by System-spec. Impulse Equation

Issp

= 10 811 Ns/kg

ve = 15 107 m/s

(2) Calculated by Rocket Equation

Isp

= 15 107 Ns/kg

ve = 15 107 m/s

Mission to the Moon:

delta-v=3.7 km/s

(constant low thrust space manoeuvres)

DELTA-V PERFORMANCES OF S/C PROPULSION SYSTEMS

Calculated by System-spec. Impulse Equation versus Rocket Equation

mP

S/m

S/C

delta-v (m/s) Fig. 19: Delta-v Performance of Spacecraft Propulsion System

Diagram Fig.19 shows clearly that for electric propulsion, where the

electric subsystem mass, mEL, may form a major ‘dead’ dry mass of

the overall propulsion system mass, the ‘rocket equation’ does not

apply alone.

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Table 9 presents a summary of the comparison between electrical

(ion) and chemical (bipropellant) propulsion.

Table 9: Comparison of typical electrical vs. chemical figures

Type of

Thruster

Spec. -

Impulse

(Ns/kg)

Thrust F

(N)

DC Power

Required

(W)

Electrical

(Ion thruster)

Chemical

(Bipropellant)

Order of

magnitude of

the ratio

ION/Chemical

30 000

≈ 3 000

101

10-3

– 0.2

4 – 500

10-4

400 – 800

4 – 8

(short term)

102

Conclusion:

- While chemical propulsion is limited to specific impulse exhaust

velocity of <5000 m/s, electric propulsion can achieve exhaust

velocities up to 100 000 m/s;

- Although electric propulsion results in very high specific impulse

Isp (ve), power is the major constraint for electric thrusters on

spacecraft. Therefore thrust force levels of electric propulsion will

be << thrust levels of chemical propulsion.

Main performance and operating characteristics of electric

propulsion are summarised together with chemical propulsion in

Tables 10 and 11, Chapter 5 below.

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5 PROPULSION SYSTEMS SELECTION

CRITERIA

A detailed procedure for the selection of propulsion systems for

given spacecraft mission requirements is beyond the scope of this

booklet. The process for selecting and sizing the elements of

propulsion systems is detailed in 17.

However, in general, an important consideration for the selection of a

suitable propulsion system will be the trade-off between its impulse

or velocity increment (v) capability and the system mass.

Consequently, when selecting a spacecraft propulsion system for

given mission impulse demand, primarily the system will have to

meet the impulse or delta-v requirement with highest possible

spacecraft payload mass. Therefore, an important requirement of the

spacecraft designer will be that the mass of the propulsion system

shall be a minimum or at least shall not exceed a certain percentage

of the overall mass of the spacecraft. As already mentioned in

Chapter 3.2.2 above, the performance of propulsion systems cannot

be assessed only by the specific impulse Isp, but requires also taking

into account the system- specific impulse Issp.

To assess the suitability of spacecraft propulsion systems for

spacecraft mission impulse requirements, value ranges of Isp and Issp

(see Eq. (16)) of various actual built systems can be derived from

published data as summarised in Table 10. In addition, with Eq. (19)

the dependence of the propulsion system mass fraction mPS/mS/C, on

mission velocity increment v can be derived for any given value of

Isp (ve) and Issp. Curves of mPS/mS/C, plotted as a function of v for

different propulsion system designs with typical value ranges of Isp

and Issp from Table 10, are shown in diagram Fig. 20 below.

When suitable systems are selected, a refinement of the selection has

to be carried out. This process takes into consideration additional

parameters such as cost, operability, complexity and reliability, etc.

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Table 10: Comparison of typical Spacecraft Propulsion Systems

Performances

Propellant Thruster-spec.

Impulse Isp

(mission average)

(Ns/kg)

System-spec.

Impulse, Issp

(Ns/kg)

Remarks

Cold Gas

Compressed Gas

(N2, A)

Vaporising

Liquid, (C3H8,

NH3)

510 – 706

618 – 800

193 – 283

486 – 654

Compressed Gas:

Titanium Tank

Liquid Gas:

Al-Tank with

Heat Exchanger

Liquid

Monopropellant

Hydrazine (N2H4)

2100 – 2 300

1440 -1860

Hot Gas; Tank

with Diaphragm

Bipropellant

MMH/ NTO,

(CH3N2H3/N2O4)

2900 – 3120

2354 - 2746 Hot Gas; Tank

with Surface

Tension Device

Solid (Composites,

HTPB)

2800 – 3000

2611 -2670 E.g. MAGE 1, 2

Apogee Kick

Motors

Electric

Propulsion

Electrostatic:

Stationary Plasma

Thruster (SPT)/

Kaufman-type Xe-

Ion Thruster

14000 - 34000

5980 - 11287

Xenon Propellant

E.g. GALS/

SMART-1/

ETS-VIII Projects

N.B.: Listed data, which can be derived from published data, are examples

and therefore only indicative.

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500 1000 1500 2000 2500 3000

0,0

0,2

0,4

0,6

0,8

1,0

Issp

=5980 Ns/kg

NITROGEN (1

PROPANE

HYDRAZINE

PACT

SOLID PROPELLANT

BI_PROPELLANT

F1

F2

F3

Issp

=11980 Ns/kg

SPT/Ion Electric

Propulsion Systems

Bipropellant

Issp

=1440 Ns/kg

Hydrazine

Issp

=193 Ns/kg

(Nitrogen)

Issp

=2746 Ns/kg

Issp

=2356 Ns/kg

Issp

=1860 Ns/kg

Issp

=654 Ns/kg

(Ammonia)

Cold GasmP

S/m

S/C

delta-v (m/s)

Figure 20: Delta-V Performance Range of Spacecraft Propulsion System Concepts (Examples)

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The diagram in Fig. 20 gives the first and most important indication

for the selection of propulsion systems. If we assume a system mass

ratio of mPS/mS/C < 0.30, we can read directly from Fig. 20:

- for low v 150 m/s, compressed cold gas and vaporising liquid

propulsion systems seem to be the best choice, because they meet

the requirement and have the lowest cost;

- for 150 v 650 m/s, monopropellant hydrazine fed propulsion

systems are the best choice, because of their inherent simplicity

(reliability) and potential low cost, while still meeting the Δv-

requirement;

- for high v 650 m/s, bipropellant systems, monopropellant

hydrazine fed resistojet systems (power-augmented thrusters,

arcjets), and electrostatic (electromagnetic) systems will satisfy the

v-requirements best.

Finally, for any given value of total impulse Itot, the mass of the

propulsion system mPS can be calculated of course directly from

values of Issp.

When a suitable spacecraft auxiliary propulsion system is selected,

however, the cost, complexity, operability and reliability of the

system also play an important role.

With regard to low v-requirements, compressed cold gas systems

used for auxiliary propulsion of spacecraft’s (attitude and orbit

control), although of moderate impulse capability, are still of interest

in view of their simplicity, high reliability, repeatability of impulse

bit and low system costs.

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In considering the merits of the various compressed cold gas and

vaporising-liquid systems, the following major points must be

considered carefully:

- Additional heat may be necessary for vaporising, e.g.

propane for use in gas jets. For high thrust levels and

long thrust duration’s, this can give rise to thermal

problems in the propane system. As the latent heat of

ammonia is about three times that of propane, additional

technical problems may occur here.

- For zero-g conditions (non-spinning satellites), the

storage of liquefied propellants is more complex than that

of pressurised, inert gases, as tanks with bellows, surface

tension devices etc. have to be provided to separate liquid

and vapour. In addition, propellant gauging is much

more complex (with resulting higher costs) for liquefied

propellants under zero-g conditions than for compressed

gases. Moreover, fuel slosh of liquefied propellants may

cause extra problems for the dynamic behaviour of

spacecrafts.

Therefore, for low v-requirements, compressed cold gas systems

utilising N2 are the most commonly used.

For higher v-requirements, in the trade-off between monopropellant

hydrazine systems, bipropellant systems and electric propulsion

systems, the following major points have to be considered carefully:

- Because of their inherent simplicity, hydrazine

monopropellant systems still represent the lowest

possib1e cost technology in the field of liquid propulsion.

Such a technology is therefore of interest whenever a

moderate velocity increment is required or where mass is

not a critical design driver.

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- For delivering low impulse-bits or impulses at low

spacecraft torques or acceleration forces, hydrazine

thrusters of potential low thrust levels (down to 0.5N)

will have to be used.

- High v-requirements for spacecraft in-orbit transfer and

attitude and orbit-control can only be met by bipropellant

systems (e.g. unified propulsion system) and electric

propulsion.

- For the selection of a hydrazine resistojet system (e.g.

power-augmented thrusters, arc-jet), thrust level and duty

cycle requirements have to be considered. The fact that

the limited power available and heat capacitance of the

electrothermal thruster impose a limit on thrust- and

duty-cycle levels may give rise to technical problems.

- With regard to electric propulsion like electromagnetic

and electrostatic systems, this technology, although still

under development, has proven to achieve thrusters

exhaust velocities ve an order of magnitude higher than

the best performing chemical propulsion systems; see

Table 9. Therefore, electric propulsion is essential for

further reduction of system (propellant) mass, enabling

higher payload mass and coping best with future high

energy mission requirements. However, depending on

thrust levels, electric propulsion can impose severe

power requirements on the spacecraft power supply and

power processing system.

When spacecraft propulsion systems are to be selected, the above

mentioned points have to be assessed properly with reference to the

flight mission and design requirements of the spacecraft itself.

Table 11 below presents an overall comparison summary of

candidate spacecraft propulsion systems.

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Table 11: Survey: Typical Candidate Spacecraft Propulsion Systems

Type Thrust

Level

Range

(N)

Thruster

Exhaust

Velocity

(m/s)

Advantages Disadvantages

Cold Gas

(N2, A, NH3,

C3H8)

0.02 – 10

500 – 800

Extremely

simple, reliable,

very low cost

Very low

performance,

Solid Motor (e.g.

Apogee Kick

Motor)

28 000 –

47 000

2 800 –

3000

Simple, reliable,

relatively low

cost

Limited

performance, higher

thrust

Liquid:

Monopropellant

Hydrazine

(N2H4)

0.5 – 22

2 100 –

2 300

Simple, reliable,

low-cost

Moderate

performance

Bipropellant

(CH3N2H3/N2O4)

4 – 500

2 900 –

3 120

High

performance

More complicated

system than

monopropellant

Electric

Propulsion

Electrothermal:

Resistojet

(NH3, N2H4, H2)

5∙10-3

0.5

1 300 –

5 000

High

performance

Low thrust

Arcjet (NH3,

N2H4, H2, N2)

5∙10-2

– 5

4 000 –

15 000

High

performance,

High power,

complicated

interfaces

Electromagnetic:

Pulsed plasma,

(Teflon)

5∙10-6

5∙10-3

15 000

High

performance

High power, low

thrust, complicated

Electrostatic:

Stat. Plasma

Thruster (SPT)

(Xenon: Xe)

10-2

– 0.5

15 000 –

25 000

High

performance

High power, low

thrust, complicated

Ion (Hg, A, Xe) 10-3

– 0.2 30 000 Very high

performance

Very high power

N.B.: Listed data, which can be derived from published data, are examples

and therefore only indicative.

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6 OUTLINE OF POTENTIAL FUTURE

SPACE PROPULSION

So far, chemical propulsion has given access to space and has even

taken spacecraft through the solar system. Electric propulsion, still

under development, offers a further vast increase in propulsion

system mass efficiency.

The prevailing goal of future propulsion in form of advanced

spacecraft propulsion systems is to enable cost efficient space

missions and extended exploration of the solar system up to

interstellar missions.

In order to achieve efficient mission costs, an important application

of advanced spacecraft propulsion is to reduce cost by:

- reduction of the total mass that must be launched from

Earth,

- reduction of propulsion system mass fraction, allowing

for higher payload mass,

- increase of mission impulse performance, allowing for

satellite extended orbit maintenance and attitude control.

A second goal of advanced spacecraft propulsion is to perform

extended (manned) exploration of the solar system and previously

‘impossible’ missions, like interstellar travel.

Consequently, the evolution of advanced spacecraft propulsion

systems will mainly focus on increased performance that is high

values of Issp.

In a first instance, advanced propulsion systems can be derived from

existing systems, by increasing the performance of chemical and

electric propulsion with regard to their mission impulse and velocity-

increment, Δv, capabilities.

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6.1 Potential Improvement of Chemical

Propulsion

For chemical propulsion high performance, i.e. high values of Issp, resulting in low values of ‘propulsion system mass fraction’, is

primarily dictated by maximum values of Isp (ve). See to this Eq. (21)

with the mass of propellant storage system (propellant + tank), mPSS,

which is proportional to the system impulse capability and sized by

Isp (ve); see Eq. (10). However, the performance of state-of the-art

spacecraft engines operating with cold and hot gas can be considered

near to the theoretical limit for actual space storable propellant

combinations.

But the Issp can be still improved by also taking into account the non-

impulse system mass mH/W, - see Eq. (21). The emerging class of

micro-and nanospacecrafts requires miniaturization of the

propulsion system with help of ‘Microelectromechanical System’

(MEMS) technology for acceptable values of Issp, in order to achieve

a low value of mH/W.

Fig.21: MICRO PROPULSION: Laser Induced Etched Nozzle with

thrust force F= 0.5 ÷ 10 mN (Courtesy of Ångström Space

Technology Centre, Uppsala/Sweden)

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For further reading about MEMS technology in particular with

reference to its space applications [18] is recommended.

In addition, with increasing interest in environmental and safety

issues, non-toxic monopropellant systems are under development.

Current satellite users and manufacturers are looking for more

environmentally friendly, safer propellants. Safer propellants can

reduce costs by eliminating the need for self-contained atmospheric

protective ensemble (SCAPE) suits that are needed for toxic

propellants by personnel for propellant filling and draining

operations. Also, extensive and prohibitive propellant safety

precautions and isolation of the space vehicle from parallel activities

during propellant loading operations can be minimised or eliminated.

Therefore, if environmentally safe and low toxic propellants are

used, the costs for operating satellites on ground can be lowered, in

some cases even dramatically.

A new family of environmentally friendly monopropellants has been

identified as an alternative to hydrazine. These new propellants are

based on blends of e.g. hydroxyl ammonium nitrate (HAN),

ammonium dinitramide (ADN), hydrazinium nitroformate (HNF),

nitrous oxide (N2O), and hydrogen peroxide (H2O2). When compared

to hydrazine, e.g. HAN and ADN blends have a range of specific

impulse (Isp) which can exceed that of hydrazine [19]. Testing of

HAN and ADN based propellants has begun to show promise and

could soon be adopted for spacecraft on-board propulsion systems

use.

To summarize, actual designs of chemical spacecraft propulsion

systems are well developed, but are being mainly complemented by

miniaturised cold/hot gas-, as well as by low-toxic monopropellant

systems.

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6.2 Potential Improvement of Electric Propulsion

Most promising for further increase of propulsive performance

capabilities is the use of electric propulsion.

For electric propulsion, high values of Issp will be achieved mainly

for high values of ve-opt, which requires in particular high values of

overall specific power γ (watt per unit mass), combined with high

overall power conversion efficiency η, resulting in low values of mEl.

This can be illustrated by considering planetary missions to the edge

of the solar system, - mission to rendezvous with Pluto or other

members of the Kuiper belt. For constant low thrust maneuvers, a

total Δv ≥ 37 km/s has been assumed to cover escape from the

Earth’s gravitational field as well as escape from the solar system

with no gravity assist maneuvers, thus giving wide launch windows

[20]. A rough propulsion system analysis will show the needs for

further performance improvements.

Parametric investigations have been performed by altering overall

system specific power and thrust time , considering an overall

system power efficiency of = 0.67. In order to demonstrate the

impact of these parameters on Issp with resulting values of

‘propulsion system mass fraction’, parameters have been combined

for extreme cases of and as follows. Overall system values of containing electric power generators, power processing systems and

thrusters have been assumed in the range of = 30 ÷ 130 W/kg with

a main emphasis on Radioisotope Thermoelectric Generators (RTG),

needed for deep space missions. Performances of RTG’s have been

assumed for = 33 W/kg at 100 kW to = 625 W/kg for potential

future RTG designs at 10 MW [2]. Thruster operation times have

been assumed for max. life of thrusters, ranging from 7000 h to

20000 h [20]. In addition, it is assumed, that systems are operating

with xenon-gas propellant.

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Parametric investigations performed according to Eqs. (55) with (56)

are depicted in Fig. 22 for optimal thruster exhaust velocity ve-opt.

0 10 000 20 000 30 000 40 000

0,0

0,1

0,2

0,3

0,4

0,5

0,6

0,7

0,8

0,9

1,0(1) (2)

(3)

(4)

Assumption: Constant low thrust maneuvers

Ion Propulsion, Xenon propellant

(4) Issp

= 54 499 Ns/kg

ve-opt

= 115070 m/s,

gamma = 130 W/kg,

tau = 20 000 h

(3) Issp

= 47 799 Ns/kg,

ve-opt

= 100 923 m/s,

gamma = 100 W/kg,

tau = 20 000 h

(2) Issp

= 28 278 Ns/kg,

ve-opt

= 59 707 m/s,

gamma = 100 W/kg,

tau = 7000 h

(1) Issp

= 15 489 Ns/kg,

ve-opt

= 32 703 m/s,

gamma = 30 W/kg,

tau = 7 000h

DELTA-V PERFORMANCES OF S/C ELECTRIC PROPULSION SYSTEMS

mP

S/m

S/C

delta-v (m/s) Fig. 22: Delta-v Performance of Potential Future Electric Propulsion

The parametric investigation performed by altering and shows the

importance of the large range of specific power mainly caused by

the electric power generators which have a major impact on the

overall value of . Here mainly power supply systems with high

specific power γ need to be further developed to achieve high values

of Issp, while for thrusters, the “Dual-Stage 4-Grid” type of gridded

ion thruster with a capability of ve ≤ 186 000 m/s is already under

development [20]. In addition, for high values of Issp, thrust operation

times should be always a maximum within the frame of mission

maneuver time in order to minimise power consumption, thus lower

mass of power supply system. This could imply multiple (cluster)

thruster configurations with thrusters operating serial in time in order

to obtain extra long thrust operation time, if required.

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6.3 New Approaches

New approaches are studied or are under development, with

examples like:

- Solar- thermal Propulsion:

Fig. 23: Schematic of Solar-Thermal Propulsion System

(Courtesy by SNECMA)

Propulsion system is based on using solar radiation energy to heat

liquid hydrogen propellant which is passed through a heat

exchanger, reaching very high temperatures up to 2500 oK, before

expanding through a nozzle. The advantage would be:

higher thrust levels than achieved for electric propulsion, e.g.

F = 5 to 10 N continuous for 70 kW (solar),

higher exhaust velocities than achieved for chemical

propulsion, e.g. ve =8000 m/s.

Status: Several concepts for solar-thermal propulsion systems

have been proposed, however, so far none have been realised.

FUEL

thrust

chamber

Heat exchanger

reflector

FUEL

thrust

chamber

Heat exchanger

reflector

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- Nuclear-thermal rockets:

There are two main different categories of nuclear technology

for space power and propulsion:

Radioisotope thermoelectric generators (RTG) and close-

cycle (e.g. Sterling technology) for nuclear electric power,

NEP, to power electric propulsion. Flight heritage of RTG’s

with power level < 10 kWe while future NEP’s aim at

>10 kWe to MWe’s for electric propulsion: ve = 20 000m/s to

≤ 186 000 m/s [20].

Open-cycle nuclear thermal reactors, NTR, which heat e.g.

liquid hydrogen propellant directly to produce rocket thrust.

Liquid hydrogen propellant absorbs heat from the core of a

fission reactor, before expanding through a nozzle: ve = 8000

to 9000 m/s, F = 20kN to 70 kN

Fig.24: Schematic of NTR

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SCHEMATIC OF A NUCLEAR ROCKET ENGINE

H2 Propellant Turbin

Nuclear Reactor

Reactor Fuel Element

Nozzle Coolant

Jacket

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Extensive research has been performed into nuclear-thermal

rockets in USA in 1960 as part of the NERVA program.

Status: Environmental and political concern about safe ground

test and launch of fueled reactor has reduced research in nuclear

technology.

- Exotic propulsion methods, such as:

Exotic Propulsion Systems are those “far out” ideas still under

study and are pure speculation so far. They will be required for

the ultimate dream of space exploration to travel to other star

systems, as depicted in TV shows like ‘Star Trek’. Two examples

of such exotic propulsion systems are outlined below.

Antimatter Propulsion: Matter- antimatter annihilation offers

the highest possible physical energy density of any known

reaction substance. Since matter and antimatter annihilate each

other completely, it is an incredibly compact way of storing

energy. E.g. a round trip to Mars with a 100-ton payload might

require only 30 gram of antimatter. However, sufficient

production and storage of antimatter (with potential complex

and high storage system mass) is still very much in the future.

Photon Propulsion: The generation of usable thrust by ejection

of photons is still very hypothetic. The generation of photons

by e.g. laser technology and their subsequent decay in space,

involves the mass-energy transfer expressed by Einstein’s

equation, E = mc2. Consequently, very large quantities of

energy will be required even for nominal levels of thrust.

Possibly, matter-antimatter annihilation can be harnessed for

photon propulsion in the future

For a further reading about advanced propulsion systems, [21] is

recommended.

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7 GROUND TESTING OF PROPULSION

SYSTEMS

The following parameters can be measured during system ground

operations:

- pressure;

- temperature;

- electric current and voltage on e.g. solenoid valves.

The following tests can be performed:

- functional tests of electric actuated valves by measuring

electric current and voltages response time of valves;

- measurement of leak tightness of components, parts of

systems and overall systems by measurements of

temperatures and pressures at various points of time;

- measurement of leak tightness of the integrated propulsion

system with the help of a gas spectrometer, either by

“sniffing” or during test operations of the spacecraft in a

vacuum chamber;

- measurement of leak tightness of valves (thrusters) with

the help of 'glass pipettes'.

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8 MISSION SURVEILLANCE OF

PROPULSION SYSTEMS

During spacecraft mission operations the following propulsion

system related telemetry data are available:

- pressure;

- temperature;

- thruster operations;

- system valves operations.

The propulsion systems can be checked for the following items:

- leak detection of systems (parts and overall system) by:

measurement of pressure and temperature of different

parts of systems at various points of time;

- propellant consumption and remaining mass of propellant by:

evaluation of pressure and temperature data (gas law) in

propellant tanks, related to initial mass of propellant at

beginning of life (BOL), also called ‘P.V.T’ (Pressure,

Volume, Temperature) method;

'book keeping' of thruster operations;

- thrust and spec. impulse of individual thrusters by:

evaluation of propellant consumption during in-orbit

thruster operations and comparison of planned and

achieved in orbit spacecraft movements.

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9 LITERATURE/REFERENCES

1 G. P. Sutton, Oscar Biblarz, 2001, “Rocket Propulsion

Elements”, 7th Edition, John-Wiley & Sons, Ltd.,

ISBN: 0-471-32642-9,

2 P. Hill, R. Peterson, "Mechanics and Thermodynamics of

Propulsion". Addison-Wesley Publishing Company, Inc., USA.

ISBN 0-201-14659-2,

3 P. Erichsen, “Performance Evaluation of Spacecraft Propulsion

Systems in Relation to Mission Impulse Requirements”, ESA,

1997, SP-398, Proceedings of the Second European Spacecraft

Propulsion Conference, 27-29 May, 1997,

4 P. Erichsen, “A Quick-Look Analysis Tool for the Impulse

Performance of Spacecraft Propulsion Systems”, EUCASS,

Europe, 2007, EUCASS Paper 01-05-03,

5 D.R. Trotsenburg, “A Design Tool for Low Thrust Rocket

Propulsion Systems”, MSc. Thesis in Aerospace Engineering

TU-Delft, August 2004,

6 Adib Najib, „Ermittlung der impulsunabhängigen Masse im

Verhältnis zu den impulsabhängigen Massen für Raumfahrt-

antriebssysteme“, Study work at the Institute for Aerospace,

Technical University Berlin, Jan. 2004,

[7 Lee B. Holcomb; “Satellite Auxiliary-Propulsion Selection

Techniques”, NASA Technical Report 32-1505, November 1,

1970,

[8 COS-B Project, AOCS Design Specification, Ref. D-310.0200,

dated 15 March 1975,

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[9 W. Inden; “Development Results of the ESRO TD Satellite

Pneumatic System”, Paper Reprint from Lecture Series No. 45

on Attitude Stabilization of Satellites in Orbit, AGARD,

10 D. Gale, et. al., “Bibliography of Liquid Propellant Propulsion

Systems (LPPS) of European Spacecraft”, Study Note:

SN/ESA-P/001/89/BAe Issue 1, January 1990,

11 P. Erichsen, “Catalogue of Propulsion Motors for Spacecraft”,

ESTEC Working Paper No. 1348, September 1982,

[12] H.F.R. Schöyer, “Some New European Developments in

Chemical Propulsion”, ESA Bulletin No. 66, 1991,

[13] A. Bober et al., “Development and Qualification Test of a SPT

Electric Propulsion System for ‘GALS’ Spacecraft”; IEPC-93-

008, IEPC-93-008, 23rd

Int. Electric Prop. Conf. 1993,

[14] D. Estublier et. al., “Electric Propulsion on SMART-1”, ESA

Bulletin 129, February 2007,

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Notes