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Page 1: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 1

Page 2: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 2

Introduction

The Celestial Sphere

Page 3: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 3

Outline

• Lab notes• Review• Observing the Sun• Unit Conversions• RA/Dec• SETI

Page 4: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 4

Notes

• Homework 1 due on Friday. • Sun lab(s) due in “box”:

• Noontime Sun by next Friday 5:00• Sunset part1 by next Friday 5:00

• Lab Resources Part B next week.• Binocular lab next Mon,Thur (?)

Page 5: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 5

Observing the Sun

• http://sunearth.gsfc.nasa.gov/eclipse/SEhelp/safety2.html

• http://www.mreclipse.com/Special/filters.html

Page 6: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 6

Measuring Angles

• A fist at arms length is about 10°• Fingers spread wide are about 15°• Three fingers together are about 5°• One pinky width is about 1°• The full moon is almost exactly 0.5°

Page 7: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 7

Dimensional Analysis

• Dimensional Analysis is VERY helpful in problem solving.

• Check your equations with specific units.• Velocity example - how do distance (x), time (t),

and Velocity (V) relate?

V = x/t

Page 8: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 8

Dimensional Analysis Example - Which equation is correct?

A) velocity = distance * time

B) time = velocity * distance

C) time = distance / velocity

D) time = velocity / distance

Page 9: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 9

Which equation is correct?

A) velocity = distance * time

B) time = velocity * distance

C) time = distance / velocity

D) time = velocity / distance

Page 10: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 10

Velocity Exercise

• The laser travels 9.6m across the room. How many seconds does it take?

Page 11: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 11

Light Travel Time Across the Room (9.6 meters)

A) 2.9x106 sec

B) 2.9x10-6 sec

C) 3.2x10-5 sec

D) 3.2x10-8 sec

Page 12: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 12

Light Travel Time Across the Room (9.6 meters)

A) 2.9x106 sec

B) 2.9x10-6 sec

C) 3.2x10-5 sec

D) 3.2x10-8 sec

Page 13: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 13

Conversion Factors

• Conversion factors are equivalence statements expressed in the form of ratios

• Example: 1 in = 2.54 cm• Conversion factors let you express a

quantity in terms of other units without changing its physical value.

Page 14: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 14

Conversion Exercise

• Convert 0.61 m to inches.

Page 15: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 15

How many inches is 0.61m?

A) 0.24 inches

B) 1.56 inches

C) 24.0 inches

D) 156 inches

Page 16: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 16

How many inches is 0.61m?

A) 0.24 inches

B) 1.56 inches

C) 24.0 inches

D) 156 inches

Page 17: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 17

How many light years was that 9.6 m?

A) 9.1x1012 ly

B) 1.0x10-15 ly

C) 2.9x109 ly

D) 1.1x10-14 ly

Page 18: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 18

How many light years was that 9.6 m?

A) 9.1x1012 ly

B) 1.0x10-15 ly

C) 2.9x109 ly

D) 1.1x10-14 ly

Page 19: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 19

Significant Figures

• Example• 4.56 has three significant figures.• 4.56x106 also has three significant figures.• .000456 also has three significant figures.

• A calculation output can not have more significant figures than the input.• If an equation has a whole number (for example 2) it is

considered to be 2.00000 etc.• Calculation hint - it is often best to keep all available

figures until the last step, and then round your answer.

Page 20: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 20

Scientific Notation

• What does 1.0x106 mean?• Positive exponents mean shift the decimal place to the

right (bigger numbers).• Negative exponents mean shift the decimal place to the

left (smaller numbers).• Usually only have one digit to the left of the decimal.• Most calculators have a single key to add the (x10^)

term. (EXP, EE)

Page 21: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 21

Measurements

Multiple Prefix

109 giga-

106 mega-

103 kilo-

10-2 centi-

10-3 milli-

10-6 micro-

10-9 nano-

Page 22: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 22

Algebra Hint

• The following relationship will be useful to remember:

Page 23: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 23

Introduction

The Celestial Sphere

Page 24: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 24

Oslo, Norway is 60°N latitude. What declination line passes through the zenith in Oslo?

A) 0°

B) 30° N

C) 60° N

D) 90° N

Page 25: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 25

Oslo, Norway is 60°N latitude. What declination line passes through the zenith in Oslo?

A) 0°

B) 30° N

C) 60° N

D) 90° N

Page 26: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 26

Astronomy Picture of the Day

http://antwrp.gsfc.nasa.gov/apod/ap080922.html

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The Celestial Sphere

• Locations to note• North celestial pole• Celestial equator

• Declination corresponds to latitude. • Right ascension corresponds to

longitude. • RA and Dec are “fixed” onto the

celestial sphere.

Page 28: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 28

Figure P.4Right Ascension and Declination

Page 29: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

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Declination

• Declination corresponds to latitude. • Units are degrees (and minutes and

seconds). • Durango’s latitude is +37.275° N.

The declination line passing directly overhead is also +37.275° N.

Page 30: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

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Oslo, Norway is 60°N latitude. How high does the star Polaris appear?

A) 0°

B) 30° N

C) 60° N

D) 90° N

Page 31: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 31

Oslo, Norway is 60°N latitude. How high does the star Polaris appear?

A) 0°

B) 30° N

C) 60° N

D) 90° N

Page 32: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 32

What is the southernmost declination line visible from Oslo (at 60° N)?

A) 60° N

B) 30° N

C) 0°

D) 30° S

Page 33: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 33

What is the southernmost declination line visible from Oslo (at 60° N)?

A) 60° N

B) 30° N

C) 0°

D) 30° S

Page 34: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 34

Standing on the equator, you can see…

A) the celestial equator directly overhead

B) entire celestial sphere during a 24 hour day

C) both celestial poles on your horizon

D) all of the above

Page 35: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 35

Standing on the equator, you can see…

A) the celestial equator directly overhead

B) entire celestial sphere during a 24 hour day

C) both celestial poles on your horizon

D) all of the above

Page 36: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 36

Durango’s latitude is 37.275° N. What is the southernmost declination line visible?

A) 0°

B) 37.275° S

C) 52.725° S

Page 37: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 37

Durango’s latitude is 37.275° N. What is the southernmost declination line visible?

A) 0°

B) 37.275° S

C) 52.725° S

Page 38: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 38

Right Ascension

• Right Ascension corresponds to longitude. • Units are Hours (and minutes and seconds).• The trick (as with longitude) is to decide on

the zero point.• Longitude zero is at the observatory in

Greenwich England.• RA zero is where the sun crosses the

celestial equator going north.• RA is always moving w.r.t. longitude.

Page 39: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 39

PRS question

• How long is the following exposure?

Page 40: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

Charles HakesFort Lewis College 40

Figure P.3The Northern Sky

Page 41: Charles Hakes Fort Lewis College1. Charles Hakes Fort Lewis College2 Introduction The Celestial Sphere

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How long is the exposure? Enter the correct number of hours.

A) 4

B) 5

C) 6

D) 7

E) 8

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Charles HakesFort Lewis College 42

Three Minute Paper

• Write 1-3 sentences.• What was the most important thing

you learned today?• What questions do you still have

about today’s topics?