Prob. Set 1: Assigned Tuesday, Sept. 17, Due Thursday, Sept. 26 (this problem set is now complete):
Do Prob. 1.3b (skip part a). Add a part c) to this question which states: Suppose that the Sun had the density distribution that is given in part b). Find the radius which contains 90% of the Sun's mass. (The central density of the Sun is 150.5 g/cm^3.) Compare your result to the actual value given by the SSM (standard solar model). Is the density distribution of the Sun steeper or flatter than this model? Explain.
Do Prob. 2.5. Note that height, h, refers to the height above the radius of the Sun in km.
Do Prob. 2.6. Note that the negative hydrogen ion cannot be ignored when it comes to opacity but it can be ignored when one considers number densities as is the case for this problem.
Do Prob. 2.7. You'll need to solve several equations in several unknown so I recommend using computer algebra to help.
3.05 a) Plot graphs of the following quantities from the standard solar model (SSM) as a function of mass (M/Msun) rather than radius:
radius (R/Rsun); density (rho); pressure (P); temperature (T), luminosity (L/Lsun); abundance of hydrogen (X); abundance of He4 (Y)
b) Compare your results to the plots handed out in class where these quantities (except the first) were plotted against R/Rsun.
Do Prob. 2.5. Note that height, h, refers to the height above the radius of the Sun in km.
Do Prob. 2.6. Note that the negative hydrogen ion cannot be ignored when it comes to opacity but it can be ignored when one considers number densities as is the case for this problem.
Do Prob. 2.7. You'll need to solve several equations in several unknown so I recommend using computer algebra to help.
3.05 a) Plot graphs of the following quantities from the standard solar model (SSM) as a function of mass (M/Msun) rather than radius:
radius (R/Rsun); density (rho); pressure (P); temperature (T), luminosity (L/Lsun); abundance of hydrogen (X); abundance of He4 (Y)
b) Compare your results to the plots handed out in class where these quantities (except the first) were plotted against R/Rsun.
Prob. Set 2: Assigned Thursday, Sept. 26, Due Thursday, Oct. 3 (this problem set is now complete):
Do Prob. 3.2. Note that R is not radius, but rather is defined in the question.
Do Prob. 3.5. For part c), adopt a scale height of 0.063 Rsun.
Do Probs. 3.8 and 3.10
Do Prob. 3.2. Note that R is not radius, but rather is defined in the question.
Do Prob. 3.5. For part c), adopt a scale height of 0.063 Rsun.
Do Probs. 3.8 and 3.10
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Prob. Set 3: Assigned Thursday, Oct. 3, Due Tuesday, Oct. 15 (this problem set is now complete):
Do Probs. 4.1, 5.1, 5.3, and 5.4 (below)
Do Probs. 4.1, 5.1, 5.3, and 5.4 (below)
Prob. Set 4: Assigned Tuesday, Oct. 15, Due Thursday, Oct. 31: (this problem set now complete)
Do Probs. 8.1, 8.2, 8.3, 9.1, 9.3 (for part c, assume a perturbation velocity of 1 km/s), and 11.1
Do Probs. 8.1, 8.2, 8.3, 9.1, 9.3 (for part c, assume a perturbation velocity of 1 km/s), and 11.1
Prob. Set 5: Assigned Thursday, Oct. 31, Due Thursday, Nov. 7: (this problem set is now complete)
Do Probs. 9.4 (see below), 11.3, 12.1
Do Probs. 9.4 (see below), 11.3, 12.1
Prob. Set 6: Assigned Thursday, Nov. 7, Due Monday, Nov. 18: (this problem set is complete)
Do Probs. 15.1, 16.1, and 18.1 (see handout)
Do Probs. 15.1, 16.1, and 18.1 (see handout)