preliminary design review october 21, 2014 project manager: gabrielle massone deputy project manager...
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Preliminary Design ReviewOctober 21, 2014
Project Manager:Gabrielle Massone
Deputy Project Manager Financial LeadTanya Hardon
Optics Lead:Jon Stewart
Mechanical LeadJake Broadway
Electrical Lead:Logan Smith
Systems Engineer:Jesse Ellison
Software Lead:Cy Parker
Test and Safety Lead:Franklin Hinckley
Thermal Lead:Brenden Hogan
Customers:Brian Sanders Colorado Space Grant (COSGC)
JB Young and Keith MorrisLockheed Martin (LMCO)
Faculty Advisor:Dr. Xinlin LiDept. Aerospace EngineeringLaboratory for Atmospheric and Space Physics (LASP)
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Presentation Overview Mission Overview Baseline Design Feasibility Analysis
• Optics and Mechanical Design• Thermal Design• Electrical and Software Design
Testing Plan and Feasibility Design Summary Logistics
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PROJECT OVERVIEW
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Mission BackgroundLockheed Martin 6U CubeSat Bus Design Reference Mission
to Asteroid 101995-Bennu
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Mission BackgroundLockheed Martin 6U CubeSat Bus Design Reference Mission
to Asteroid 101995-Bennu
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Relevant IR Camera Payload Operations that Drive Phoenix ConOps
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Mission Background LMCO Bus IR Camera Payload will capture sequence
of images of Bennu asteroid and measure the observed angular rate
3.5 µm wavelength in Mid-Wave Infrared (MWIR) Range and geometry specified below:
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Bennu Asteroid (Reference Environment)
IR Camera
Bennu
FOV
Distance: 10 km
ω = 0.4061 mrad/s Observed:θ = 21.93 µrad/s
D = 492 m
Tamb = 3KTsur = 180-310Kε = 0.035
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Mission Background Utilize MWIR nBn detector (Lockheed Martin Santa
Barbara Focalplane)• Operating Temperature: 140 K• Resolution: 1.3 MPx or 1280x1024
First MWIR detector Feasible for CubeSat Operations
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Reduced Dark Current, Operating Temp. of 140+ K vs 77 K (Traditional)
InAs N-doped Semiconductor Layers Sandwiching 100 nm AlAsSb Barrier
Figures courtesy of: Applied Physics Letters, October 9, 2006 - 151109
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Mission Background
1.3 MPx (1280x1024) nBn detector Image
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Figure courtesy of: laserfocusworld.com January 17, 2014
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Phoenix Objectives
Proto-flight Unit: Defined as hardware that is designed to flight form-factor, but may require additional design, development, testing or flight certification.
Not required to undergo environmental testing (thermal-vacuum cycling, vibe, radiation testing, etc…) and will not be flown.
To develop and test the 2U CubeSat MWIR Camera Proto-Flight Payload, a precursor to the flight
camera unit for the LMCO Bus Mission
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Phoenix Objectives
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Req. Description Parent
O.1 The payload shall integrate electrically and structurally into the 2U payload section of the Lockheed Martin 6U CubeSat bus MS
1.SYS.1 The electrical system shall interface with the LMCO 6U CubeSat bus O.1
1.SYS.2 The mechanical system shall interface with the LMCO 6U CubeSat bus O.1
1.SYS.3 The Software system shall interface with the LMCO 6U CubeSat bus O.1
O.2The payload shall capture a sequence of IR images at the 3.5 µm wavelength and determine the angular velocity and axis of rotation of an observed object with characteristics of the reference asteroid 101995-Bennu
MS
2.SYS.1 The electrical system shall capture and store an image from the image sensor. O.2
2.SYS.2 The optical system shall be able to observe and image the reference target O.2
O.3 The payload shall maintain all components in their operating temperature ranges. MS
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CubeSat Bus Design Constraints
Bus Electrical Constraints
Regulated Voltage Lines3.3 V 6.0 A Max
12 V 4.0 A Max
Unregulated Voltage 6.5 V – 8.6 V 6.0 A Max
Total Power 5 W Nominal Average15 W Peak
Command Communication Bus SPI Slave
High-Speed Communication Bus Ethernet, Magnetics-Less Differential
Backup Communication Bus I2C
Bus Structural Constraints
Total Volume 2U (10x10x20 cm)
Total Mass 2.66 kg + 0.1 kg/ - 0.5 kg
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Timeline and Assumptions
Phase 1: Simplifying Assumptions Simulated range between Phoenix and target will vary
between 10 km and 100 km Zero Relative translational velocity between object and bus
during observation (Phase 2 unit software will account for relative motion)
Phoenix payload is not exposed to direct sunlight (i.e. bus orientation or deployables shade payload volume)
All test target properties are representative of asteroid 101955-Bennu to the extent feasible
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Phase 1
May 2015Oct 21
Prototype of all subsystemsFirst integration and ground-
testing
Flight RevisionContinue Remaining
Development
Senior Design Potential Post-Senior Design Development
DeliveryFully-tested,
flight certified
Phase 2
Milestones
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Phoenix ConOps
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Instantaneous observed angular rate of the nearest point is the arctangent of the translational velocity of the surface divided by the observation distance
d
Phoenix is measuring the observed angular rate (theta), not the rotation rate of the object
(omega)
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Phoenix ConOps Culmination of design is fully-integrated
ground-test of sensor and representative target object
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BASELINE DESIGN
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Design Overview
RadiatorPanels
Bus Mechanical Interface
Power BoardCDH Board
Thermal StrapSensor Board
Primary Mirror
Secondary Mirror
2U CubeSat Payload10cmx10cmx20cm
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10 C
m10 Cm20 Cm
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Functional Block Diagram
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Structure and Optics Focusing Assembly
Structure
Thermal Control Mechanism
Opti
cs A
ssem
bly
* LM
CO 6
U C
ubeS
at B
us
ElectronicsBu
s Th
erm
al Is
olati
on *Sensor Interface(COSGC)
Field of View
Phoenix Camera Payload
*COTS or Customer-Provided
*Image Sensor (LMCO)
Camera Controller• Main Processor• Image Processing
and Compression Software
Thermal Controller
Power Regulation
Bu
s Po
wer
and
Dat
a In
terf
ace
PWR
PWR
PWR Thermal Feedback
Image Data, Sensor Control
PWRPWR
Post-Processed Image Data
Power
Bus Power Supply
Data
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Critical Project Elements Mechanical Optics Assembly Design Thermal System Design
• Cooling the nBn sensor Electronics and Software System
• Interfacing with nBn sensor• Measuring Rate from Image Sequence
Testing Plan• Ground testing to simulate flight functionality
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OPTICS AND STRUCTURE
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Bennu Radiometry Percentage of total light in 3 to 4 µm band due to
• Solar irradiance (~12-15%)• Bennu blackbody radiation (~85-88%)
Photon Budget:
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Total Photon FluxPhoton Flux (photon/s)
Range (km)
Cassegrain Optics
Refractive Optics
40 60 80 100
3x1013
2x1013
1x1013
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Bennu Radiometry
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Baseline Optical Design CDD baseline designs:
• Multi-element refractive & Cassegrain optical systems
MWIR bandwidth is diffraction limited
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Source: http://microscopy.berkeley.edu/courses/tlm/optics/imaging.html
Diffraction Limit Illustration
Resolvable Airy Disk Resolvable Airy Disk
Unresolvable Airy Disk Unresolvable Airy Disk
Airy Disk
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Baseline Optical Design Chief deciding factors: Mass, Thermal Control, Size, etc…
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Cassegrain selected for Optical Design
RefractiveMass ~ 1.8 kgActive Thermal CoolingChromatic AberrationsLength ~ 12.5 cmHigh Design ComplexityBandwidth: 3.0 – 3.74 µm
CassegrainMass ~ 1.0 kgPassive Thermal CoolingNo Chromatic AberrationsLength ~ 10 cmBandwidth: 3.0 to 3.61 µm
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Zemax Simulation Utilized paraxial ray tracing equations to
derive design constraints Zemax simulation to prove design
methodology
• • •
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Spot Diagram
FPA
Primary Mirror
Secondary Mirror
Cassegrain Simulation
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Mechanical BudgetSubsystem Mass (g)
Structures 328
Optics 81
Electronics 59
Thermal Control 157
Total 625
Allowable Mass 2000
Contingency 1375
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Structure 16.4%
Optics 4.1%Electronics
2.9%
Thermal Control 7.8%Margin
68.75%
Mass Distribution Large Mass Contingency Values from Solidworks
Model Estimates
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Path Forward Design aspherical lenses to reduce
aberrations and add bandpass filter Make Zemax program to optimize system
PSF and minimize ΔT impacts on system Design cold stop to reduce background
thermal noise Thorough calculation of SNR and SBR with
respect to all noise inducing elements Call prospective suppliers to check for issues
with budget and feasibility constraints
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THERMAL
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Current Thermal Concept Bus will shield the payload from
solar rays Bus interface within -24 to 61 ºC
• Interface will be isolated using low conductance bolts and/or structural elements
• MLI insulation between bus and payload
Aluminum radiators coated in high-emissivity white paint on all payload sides
TEC to reduce focal plane temperature to ~140K• From manufactures
specification
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6U Bus Conceptual Configuration
2U Phoenix Camera Volume
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Thermal Electric Cooler (TEC) Operates using the Peltier Effect
• P and N type semiconductors physically in parallel but electrically in series
• Draws heat from one side to the other Can be stacked to produce additional cooling Two Stage Baseline Model
• ~1W of consumed power• Max heat in: 0.3W• Delta Tmax: 92 K
• Small Size• 3.9mm x 3.9mm x 4.4mm
• Long operating life• <100,000 hrs
Source: https://www.ferrotec.com/images/thermal-site/twoStage.png
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Primary Thermal Paths
Bus Interface T = -21 to 64 ºC
Qbus
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QSun
Aluminum Radiator 700cm2 (White Paint Coating α=0.09 ε=0.92)
QRadiated
Qalbedo
Opti
cs A
ssem
bly
TEC
Wbus
nBn Focal Plane
Command and Data Handling (CDH) Board
Electrical Power and Bus Interface Board
Thermal Isolation
QRadiated
Bus Solar S
hadeBus Solar Shade
Phoenix Payload
KeyRadiation
Conduction
High Resistance
Low Resistance
Electric Work
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Thermal Modeling StrategyGoal: Full System Thermal Model using
Thermal Desktop Software Fall 2014:
• Develop basic thermal models comparing ~10-25 nodes in both Simulink and Thermal Desktop
Post-CDR: • Continue Thermal Modeling with Thermal Desktop• Goal: model agrees to within ± 5 K of actual
hardware temperatures (AFRL Standard) Driving Issue:
• Thermal Desktop results are complex - it can be difficult to identify errors in basic model
Solution:• Develop two independent models• Verify results of Thermal Desktop model before
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Thermal Desktop Model (Steady State)
Aluminum Radiators with White Paint Coating
Bus-Payload Mechanical Interface• ~10W
CDH Board• ~0.3W
EPS Board (Not-Pictured, behind CDH board)• ~0.7W
Not currently in model• Thermal Electric Cooler
• ~1W• nBn Focal Plane
• ~0.3W• Optics Assembly
Bus Simulator• Modeled as
10W constant heat source
Hottest part of the payload is the bus interface
CDH Board
EPS Board
EPS Board
Cold Space ~3K
• Green Arrows-Conduction to parts contacting that face• Brown Arrows-Conduction receiving nodes from other parts contacting that face• Red Arrows-Heat loads on that surface• Balls-Nodes of the model
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Simulink Thermal Model
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Major components modeled as Simulink subsystems with heat inputs and outputs
Subsystem blocks contain models of thermal resistivities and conductivities
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Feasibility Analysis (Simulink)
Radiator
Area 700 cm2
Emissivity 0.92
Material Aluminum
Thermal Conductivities
Aluminum 237 W/(m*K)
PCB (FR4/Copper) 0.33 W/(m*K)
Glass (Optical Lenses) 1.05 W/(m*K)
Bus Inputs
Max Qin 10 W
Qin to Electronics 7 W (30%)
Qin to Optical Assembly 3 W (70%)
Qin to TEC/Focalplane 0 W (negligible)
Asteroid Inputs
Max Qin 1.56 μW
Qin to Focalplane 0.312 μW (20%)
Qin to Optical Assembly 1.248 μW (80%)
Qin to TEC/Focalplane 0 W (negligible)Other Properties
Glass Emissivity 0.93
Time to Steady State 10,000 seconds
Simulink Simulation Assumptions & Parameters:
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Feasibility Analysis
Using the worst case power inputs, the steady state temperature is low enough for the TEC to cool the focal plane to 143K (ΔT ~92K). While this is higher than the optimal 140K, the noise induced by the higher temperature could be processed out.
Additionally the optical assembly does not need to be cooled
Simulation Inputs
Heat from Bus into Sys. 10 W
Heat from Asteroid 1.5 μW
Power into Focalplane 0.3 W
Power into Electronics 1.0 W
Power into TEC 1.0 W
Total Energy into Sys. 12.3 W
Simulation Outputs
Heat out of Radiator 11.2 W
Heat out of Optics 3.0 W
Heat out of TEC 2.4 W
Heat out of Electronics 7.3 W
Heat out of Focalplane 0.8 W
Steady State Tradiator 235.4 K
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Feasibility Analysis
The steady state temperature drops by 5K, reducing the necessary ΔT to 90K. This shows that with a 10% reduction in heat from the bus the TEC can cool the focal plane to the desired temperature.
Simulation Inputs
Heat from Bus into Sys. 9.0 W
Heat from Asteroid 1.5 μW
Power into Focalplane 0.3 W
Power into Electronics 1.0 W
Power into TEC 0.3 W
Total Energy into Sys. 10.6 W
Simulation Outputs
Heat out of Radiator 10.2 W
Heat out of Optics 2.70 W
Heat out of TEC 2.24 W
Heat out of Electronics 6.6 W
Heat out of Focalplane 0.69 W
Steady State Tradiator 230.0 K
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Considering a case where the payload receives less heat from the bus (the bus is in a power saving mode, and less subsystems are
turned on, therefore less heat is generated)
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Path Forward Continue adding payload elements to the
Thermal Desktop Model Update the Simulink Model material properties
as materials are chosen Compare the results of the two models to
verify consistency and accuracy Use Thermal Desktop Model for final thermal
analysis Extra volume available if additional active
thermal control required • Linear Stirling Cooler or multiple TECs
Exploring Thermal Isolation mechanisms• MLI, high thermal-resistance materials
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ELECTRICAL AND SOFTWARE
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Electronics Overview
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nBn Image Sensor
Image Sensor Backplane
Command and Data Handling
Power Regulation
Raw Image Data
Power
• Small Adapter Board for nBn Mid-Wave IR Sensor
• Low Thermal Resistance Substrate
• Processes Images and Commands• High-Density Multi-Layer Board
• Provides power regulation and isolation from the bus
• Primary bus interface
Baseline Design: Custom PCB Stackup
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Electronics
Image Sensor Backplane
Command and Data Handling
Power Regulation & Isolation
Bus Interface
Power Regulation
IsolationThermal Electric Cooler
Switching
Monitoring &
Protection Circuitry
Image Sensor
Interface
Memory
CPU nBn Sensor
TEC
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Power Budget
Design Element Reference Component Nominal Power Consumption
TEC Laird MS2 series 1.0 W
CPU Atmel SAMA5D4 series 0.20 W
Image Sensor Interface Xilinx Spartan3 series 0.16 W
Focal Plane nBn-sensor 0.05 W
Memory Micron SDRAM 0.39 W
Power Regulation Buck/Boost 90% efficient 0.80 W
TEC Control Buck 90% efficient 0.10 W
Raw Total No Margin 2.7 W
System Margin 20% 0.54 W
Total + Margin 3.2 W
Contingency 1.8 W
Budget 5W nominal, 15W 10 minute burst
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Software Flow DiagramStandby Mode Active Mode
Initialize
Wait for Command
Package Data
Send Data to Bus
Command?
Picture Command
Report Health and Status
Get Focalplane Temp
nBn Cool?
Take Picture Burst
Picture Cmd Type
Compress Image and Package
Send Image to Bus
Determine Rate
No
Yes
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Rate Determination Algorithm
(Cont. Next Slide)
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Software Flow Diagram
Harris Corner Detection• Interest point
identifier• Invariant to
translations and rotations
SIFT• Used to classify each
interest point and keep only those robust to local affine distortion
Rate Determination Algorithm
Noise Reduction (Optional)
Harris Corner Detection & SIFT Keypoint Descriptors
Repeat for 2+ Image Sequence
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Match SIFT Keypoints
Calculate Rate Solution
Send Solution to Bus
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Examples HarrisSIFT Algorithm
• Interest Point Detection and Matching• Image Rotated 180º
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Figure generated using Integrated Vision Toolkit and HarrisSIFT Algorithm
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Temporal Budget Maximum allowable exposure time 2.28
seconds• Bennu rotation rate + 1σ = ~22μradians/second• Rotation of 50 μradians corresponds to a single
pixel• Corresponds to minimum spacing of images
Maximum image capture spacing• Case of rotation gives about 9 hours
• Will use as baseline limit
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T = 9 Hrs
Surface Feature
T = 0 Hrs
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Path Forward Determine data rates and create data
budget Select Processor and Electrical Components Begin Electrical Schematics Select Software Platform
• Operating System (i.e. Linux)• Bare Metal
Software Algorithm development
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TESTING FEASIBILITY
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Preliminary Testing Plan
Setup and Procedure Test Chamber contains
• Phoenix Camera and Test Target• Optics Adapter• MGSE structure• EGSE conduits
Phoenix captures MWIR images, determines observed angular rate
Compare theoretical and actual angular rate
Test Equipment Vacuum chamber capable of < 1
torr (procurable) Liquid Nitrogen cooled to 75K
(procurable)• Radiative heat transfer error 5% at
Tsurr = 108.9 K
• 0.632 L/min circulation rate for∆T = 5K
• 16.6 mL/min vaporization rate EGSE and MGSE
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Environmental Control
Phoenix Camera and test hardware mounted to sled
LN2 cooling jacket maintains ~75 K wall temperature
12.5” fiberglassinsulation (two layers of R19 batt) to reduce LN2 loss
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Cross Section of Test Chamber, with minimum required dimensions
12.5”
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Test Target and Scaling
Test Target Objective: To replicate the scale, motion, and spectral qualities of reference asteroid 101995-Bennu Hollow Sphere, 10 cm diameter Internal heating elements heat to 310 K (illuminated side)
and 180 K (dark side)• Heater wires through slip-ring to allow target rotation
Optics Adapter (Zoom 0.300X)• Scaled distance: 203 cm• Actual distance: 61 cm
Parameter Value (Bennu) Value (Target)
Diameter 492 m 10 cm
Observation Distance 10 km 203 cm (effective)
Rotation Rate 0.4061 mrad/s 0.8904 mrad/s
Observed Angular Rate 21.93 µrad/s 21.93 µrad/s
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Phoenix Scaled TestingBennu Asteroid (Reference Environment)
Phoenix (Scaled Ground Test)
Camera
Phoenix
Optics AdapterZoom: 0.300X
101995-Bennu
Actual Distance: 63 cm Effective Distance: 203 cm
FOV
FOV
Distance: 10 km
Test Target• Hollow Sphere• Heated
ω = 0.4061 mrad/s
ω = 0.8904 mrad/s
Observed:θ = 21.93 µrad/s
Observed:θ = 21.93 µrad/s
D = 10 cm
D = 492 m
Tamb = 3K
Tamb = 75 K
Tsur = 180-310Kε = 0.035
Tsur = 180-310Kε = ~0.035
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Path Forward Explore testing opportunities and
capabilities at Space Operation Simulation Center (SOSC) at Lockheed Martin in Waterton
Confer with Matt Rhode for all LN2 Handling and Testing
Detail intermediate testing plans for system build-up
Determine required optical/thermal properties of test target to accuracy required for construction
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DESIGN SUMMARY
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Design Summary
nBn Image Sensor
Image Sensor Backplane
Command and Data Handling
Power Regulation
Raw Image Data
Power
2U MWIR Camera Volume, 700 cm2 Radiator Area
Two-Stage Thermoelectric Cooler Custom Electronics and Software
Cassegrain Reflector Optics
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LOGISTICS
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Fall ScheduleOctober November December
Major Milestones
10/13-10/19
10/20-10/26
10/27-11/02
11/03-11/09
11/10-11/16
11/17-11/23
11/24-11/30
12/01-12/07
12/08-12/14
12/15-12/21
12/22-12/28
12/29-01/05
PDR
Simulink Thermal Model
Thermal Desktop Model
Zemax Optics Model
Solidworks Model
Electrical Component Selection
Electrical Schematics
Electrical Layout
CDR
FFR
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Monetary Budget
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Component Cost Estimate
Optics (mirrors, lenses) $5,000
Electronics $1,500
Thermal $1,000
Mechanical $1,000
Test Equipment $1,000
Total $9,500
Margin 20% $1900
Total + Margin $11,400
Contingency $8600
Funds available to team: $20,000
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Team Management Tools Redmine
• Project Management Web Application• Issue tracking system• Gantt Chart and Calendar
Configuration Management• Git version control• Central file storage – Odyssey servers• File and component naming schemes
SYS.###.Rev_FileDescriptorEx: STR101.2_MassBudget
Test/Requirements Verification Software
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CONCLUDING STATEMENTS
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Conclusions
Thank you for your time
Acknowledgements PAB Faculty and Staff Faculty Advisor
• Dr. Xinlin Li Our customers
• Brian Sanders (COSGC)• JB Young (LMCO)• Keith Morris (LMCO)
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References[1] Adams, Arn. "ADVANCES IN DETECTORS: HOT IR Sensors Improve IR Camera Size, Weight, and Power." Laser Focus World. PennWell Corporation, 17 Jan. 2014. Web. 13 Sept. 2014.
[2] "An Introduction to the NBn Photodetector." UR Research. University of Rochester, 2011. Web. 12 Sept. 2014.
[3] "ARCTIC: A CubeSat Thermal Infrared Camera." TU Delft. Delft University of Technology, 2013. Web. 13 Sept. 2014.
[4] Cantella, Michael J. "Space Surveillance with Infrared Sensors." The Lincoln Laboratory Journal 1.1 (1989): n. pag.Lincoln Laboratory. MIT, June 2010. Web. 9 Sept. 2014.
[5] Cleve, Jeffrey V., and Doug Caldwel. "Kepler: A Search for Extraterrestrial Planets." Kepler Instrument Handbook (2009): n. pag. 15 July 2009. Web. 12 Sept. 2014.
[6] "James Webb Space Telescope - Integrated Science Instrument Module."ISIM. Space Telescope Science Institute, n.d. Web. 13 Sept. 2014.
[7] "NBn Technology." IR Cameras. IRC LLC, n.d. Web. 13 Sept. 2014.
[8] Nolan, M.C. et al, “Shape model and surface properties of the OSIRIS-Rex target Asteroid (101955) Bennu from radar and lightcurve observations,” Icarus, Vol. 226, Issue 1, 2013, pp. 663-670.
[9] Otake, Hisashi, Tatsuaki Okada, Ryu Funase, Hiroki Hihara, Ryoiki Kashikawa, Isamu Higashino, and Tetsuya Masuda. "Thermal-IR Imaging of a Near-Earth Asteroid." SPIE: International Society of Optics and Photonics. SPIE, 2014. Web. 13 Sept. 2014.
[10] "Spitzer Space Telescope Handbook." Spitzer Space Telescope Handbook 2.1 (2013): n. pag. Spitzer Space Center, 8 Mar. 2013. Web. 8 Sept. 2014.
[11] Vanbebber, Craig. "Lockheed Martin Licenses New Breakthrough Infrared Technology." Lockheed Martin Corporation, 7 Dec. 2010. Web. 9 Sept. 2014.
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BACKUP SLIDES
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TRADE STUDIES BACKUP
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Trade Study Scoring 10 Excellent, design best satisfies the criteria compared to
the other design options 8-9 Good, satisfies the criteria well 5-7 Mediocre, satisfies the criteria with some difficulty or
challenge 3-4 Poor, difficult to satisfy design criteria, presents technical
challenges 1-2 Very poor, presents significant challenge to satisfy
criteria
R = Raw Score W = Raw Score*Weight Total = Sum(W)
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Optics Trade Study
Sensitivity Analysis
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Thermal Trade Study
Sensitivity Analysis
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Electronics Trade Study
Sensitivity Analysis
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OPTICS BACKUP
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Paraxial Ray Tracing Equations
Equation 2:
Equation 1:
http://ecee.colorado.edu/~ecen5616/WebMaterial/05%20paraxial%20ray%20tracing.pdf
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Optics Design Equations Photon Budget:
• Planck’s Blackbody Radiation Equation
• Stefan-Boltzmann’s Law
Cassegrain Constraints:
𝐼𝑏𝑙𝑎𝑐𝑘𝑏𝑜𝑑𝑦=2 h𝑐2
𝜆5 ∗ 1
𝑒h𝑐𝜆 𝑘𝑇 − 1
𝑃𝑆𝐵=4𝜋 𝑅2𝜎𝑇 4
𝑅𝑝𝑟𝑖𝑚𝑎𝑟𝑦=−2∗𝑡𝑝𝑠∗𝐸𝐹𝐿𝐸𝐹𝐿−𝐵𝐹𝐷
𝑅𝑠𝑒𝑐𝑜𝑛𝑑𝑎𝑟𝑦=−2∗𝑡𝑝𝑠∗𝐵𝐹𝐷
𝐸𝐹𝐿−𝐵𝐹𝐷−𝑡𝑝𝑠
EFL – effective focal lengthBFD – back focal distancetps – mirror separation
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Transmissive Design Cooke Triplet Constraints
Zemax Simulation
Φ𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑒=− −
(Φ¿¿𝑝𝑛𝑝 𝑣𝑝−2 Φ𝑣𝑎)+√ (Φ𝑝𝑛𝑝 𝑣𝑝−2 Φ 𝑣𝑎 )2− 4 (𝑣𝑎−𝑛𝑎𝑛𝑏𝑣𝑏)𝑣𝑎Φ2
2(𝑣𝑎−𝑛𝑎
𝑛𝑏
𝑣𝑏)¿
Φ𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒=−(Φp −2 Φ𝑎
𝑛𝑎 )𝑛𝑏
Custom Gauss TripletCooke Triplet
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Optical Thermal Analysis Used Stefan-Boltzmann equation to calculate
light passing through Cold Stop Signal to background ratio for 230° K optical system
Bennu
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THERMAL BACKUP
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Peltier Effect in TECThermoelectric coolers use the Peltier Effect to generate temperature gradient
Where is the Peltier coefficient of the conductor A, of the conductor B, and I is the electric current from A to B.
Peltier coefficients represent how much heat is carried per unit charge. If A and B are different, and a simple thermoelectric circuit is closed then the Seebeck effect will drive a current, which in turn will always transfer heat from the hot to the cold junction.
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Simulink – Electronics Subsystem
Subsystem Specific Values:Electronic Board Area – 200cm^2Electronic Board Thickness – 0.173cm Radiation Coefficient of PCB – 4.82E-8 W/m^2*K^4Specific Heat of PCB – 810 J*K/kg
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Simulink – Optical Subsystem
Subsystem Specific Values:Optical Assembly Area – 314cm^2Radiation Coefficient of Glass – 1.1E-9 W/m^2*K^4Specific Heat of Glass – 447 J*K/kg
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Simulink – Focalplane Subsystem
Subsystem Specific Values:Focal Plane Area – 19.625cm^2
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Simulink – TEC Subsystem Subsystem Specific Values:TEC Area – 15.21mm^2TEC Thickness – 4.4mm
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Simulink – Radiator Subsystem Subsystem Specific Values:Radiator Area – 700cm^2Radiator Thickness – 5mmRadiation Coefficient – 5.21e-8 W/m^2K^4Radiator Mass – 0.25 kgSpecific Heat of Aluminum – 900 J*K/kg
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ELECTRONICS BACKUP
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Custom PCB Examples Previous designs by Phoenix team members
Communications Board: Xilinx Kintex 7 FPGA, high-speed DDR3 Memory
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Custom PCB Examples
Attitude Determination and Control: SAMA5 ARM Processor and High-Speed Memory