Welcome to Astronomy 117B ! Dr. Monika Kress Science 262

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Welcome to Astronomy 117B !

Dr. Monika Kress

Science 262 mkress@science.sjsu.edu

Office hours: MW 10:30-noon

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Chapter 2: Continuous radiation from stars

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Homework problems to do for Wednesday:

Page 22-23, # 2, 3, 4, 10, 13, 16, 17, 24, 30

The electromagnetic spectrum optical

Photons: carriers of the electromagnetic force

• All photons travel at the speed of light*, c

 

• Their only property is their energy,

E

 h

  hc





See Table 2.1 for wavelength and frequency of EM radiation

Blackbody (thermal) radiation

• Hotter objects emit more photons at all wavelengths (per unit area)

• Hotter objects emit photons with a higher average energy

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Stefan-Boltzmann equation:

L

A

T

4

= 5.670 x 10 -5 erg s -1 cm -2 K -1



Wien’s Displacement Law  max

T = 0.290 cm-K





Planck’s Law for emission of blackbody radiation:

Quantization of energy!!!

I (

, T )

2 h

3 c

2

1 e h

/ kT 

1

I (

, T )

2 hc

2

5

1 e hc /

 kT 

1

** This is not a simple substitution of c =



. Why not?

High Resolution Solar Spectrum

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Solar radiation

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The solar radiation that reaches the surface

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Distance in astrophysics

1 AU = 149.6 million km

1 LY = 9.46 x 10 12 km

1 pc = 3.26 LY

Earth’s motion around Sun

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Distant stars



tan

p

(in arcsec)

1 AU

d

(in pc)

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Not to scale!



The magnitude scale m = apparent magnitude (how bright a star appears to us)

M = absolute magnitude (how bright it would be if it were

10 pc away)

Brightest stars have apparent magnitude m = 1

Faintest visible stars have magnitude m = 6

Calibration:

When the difference between 2 stars, m

2

- m

1 star 1 appears 100 times brighter than star 2:

= 5 b b

1

2

100

( m

2

 m

1

)/5 m

2

 m

1

2.5log



 b

1 b

2







Compare apparent magnitude of the Sun to that of the faintest object observable by HST: m sun

= -26.7

m

HST

= +23.7

Compare apparent magnitude of Jupiter to its absolute magnitude: m

J

= -2 M

J

= +27



Absolute magnitude and stellar distances m = apparent magnitude (how bright a star appears to us)

M = absolute magnitude (how bright it would be if it were

10 pc away)

M is a measure of the star’s luminosity (total energy output).

m

M

5log

10



 d

10 pc





Distance modulus

Quantifying stellar colors m

2

 m

1

2.5log

10



 b ( b (

2

1

)

)





= “color”

 Suppose





As T increases, b ( b (

1

)

21

) increases

So m

2

- m

1 increases



1st typo of the book: 3 paragraph under 2.5 ‘Stellar Colors’ decreases should be increases

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