Assignments for Monday Oct. 22. Read Ch Do Online Exercise 10 ("H-R Diagram" tutorial)

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1 Assignments for Monday Oct. 22 Read Ch Do Online Exercise 10 ("H-R Diagram" tutorial)

2 Luminosity passing through each sphere is the same. Area of sphere: 4π(radius) 2 Divide luminosity by area to get brightness.

3 The relationship between apparent brightness and luminosity depends on distance: Apparent brightness (Flux) = F = L 4π D 2 Luminosity 4π (distance) 2 We can determine a star s luminosity if we can measure its distance and apparent brightness : Luminosity = 4π(distance) 2 (flux) L = 4π D 2 F

4 d (in parsecs) = p (in arcseconds) 1 1 parsec = 3.26 light year

5 Most luminous stars: 10 6 L Sun Least luminous stars: 10-4 L Sun (L Sun is luminosity of the Sun)

6 Every object emits thermal radiation with a spectrum that depends on its temperature.

7 Properties of Thermal Radiation 1. Hotter objects emit more light per unit area at all wavelengths. 2. Hotter objects emit photons with a higher average energy.

8 Absorption lines in a star's spectrum tell us its ionization level.

9 10 6 K 10 5 K 10 4 K Ionized Gas (Plasma) Level of ionization also reveals a star's temperature K Neutral Gas 10 2 K Molecules 10 K Solid 2018 Pearson Education, Inc.

10 Lines in a star's spectrum correspond to a spectral type that reveals its temperature: (Hottest) O B A F G K M (Coolest)

11 Remembering Spectral Types (Hottest) O B A F G K M (Coolest) Oh, Be A Fine Girl/Guy, Kiss Me Only Boys Accepting Feminism Get Kissed Meaningfully 2018 Pearson Education, Inc.

12 Pioneers of Stellar Classification Annie Jump Cannon and the "calculators" at Harvard laid the foundation of modern stellar classification.

13 Hottest stars: 50,000 K Coolest stars: 3000 K (Sun's surface is 5800 K) 2018 Pearson Education, Inc.

14 Thought Question Which of the stars below is hottest? A. M star B. F star C. A star D. K star 2018 Pearson Education, Inc.

15 Thought Question Which of the stars below is hottest? A. M star B. F star C. A star D. K star 2018 Pearson Education, Inc.

16 How do we measure stellar masses?

17 Binary Star Orbits Orbit of a binary star system depends on the strength of gravity.

18 Types of Binary Star Systems Visual binary Eclipsing binary Spectroscopic binary About half of all stars are in binary systems.

19 Visual Binary We can directly observe the orbital motions of these stars.

20 Eclipsing Binary We can measure periodic eclipses.

21 Spectroscopic Binary We determine the orbit by measuring Doppler shifts.

22 General form of Kepler s 3rd law M 1 + M 2 M sun = ( a / AU) 3 ( P / yr) 2 M 1 +M 2 = sum of masses of orbiting bodies (in M sun ) a = semi-major axis of ellipse (for circ. orbits, a=radius) P = Period (in years)

23 Need two out of three observables to measure mass: 1. Orbital period (p) 2. Orbital separation (a or r = radius) 3. Orbital velocity (v) v For circular orbits, v = 2πr / p r M

24 Most massive stars: 100M Sun Least massive stars: 0.08M Sun (M Sun is the mass of the Sun.)

25 Most massive stars: 100M Sun (some very rare stars may have > 100 M Sun ) Least massive stars: 0.08M Sun (M Sun is the mass of the Sun.)

26 What is a Hertzsprung Russell diagram?

27 Luminosity Temperature

28 Most stars fall somewhere on the main sequence of the H-R diagram.

29 large radius Stars with lower T and higher L than main-sequence stars must have larger radii: giants and supergiants 2018 Pearson Education, Inc.

30 Stars with higher T and lower L than mainsequence stars must have smaller radii: small radius white dwarfs 2018 Pearson Education, Inc.

31 H-R diagram depicts: Luminosity Temperature Color Spectral type Luminosity Radius Temperature 2018 Pearson Education, Inc.

32 Which star is the hottest? B C D A 2018 Pearson Education, Inc.

33 B C Which star is the hottest? A D A 2018 Pearson Education, Inc.

34 B C Which star is the most luminous? D A 2018 Pearson Education, Inc.

35 B C Which star is the most luminous? C D A 2018 Pearson Education, Inc.

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