Introduction to Astrophysics I, 29:119
Fall, 2008
Tenth Homework Set...December 4, 2008.
Due December 11, 2008

This problem set will involve the calculation of a model star. Although there are four parts to it, this problem will have the same amount of credit as a normal, 8 problem homework set. Students will calculate a model for one of three stars, as follows.
If your surname begins with letters A-C, calculate a star with $M_{\ast}= 0.3M_{\odot}$.
If your surname begins with letters D-M, calculate a star with $M_{\ast}= 0.5M_{\odot}$.
If your surname begins with letters A-C, calculate a star with $M_{\ast}= 1.0M_{\odot}$.

In calculating the stellar model, make the following simplifying assumptions:

• The star is convective throughout.
• The energy generation mechanism is the proton-proton cycle.

(1) State or calculate the following stellar scale parameters discussed in class: $R_{\ast}$, $L_{\ast}$, $p_0$, and $T_{\ast}$. If you just write down or state one of these parameters, give the source of your information.

(2) Numerically solve the equations of stellar structure for your star. Results should be presented in terms of plots of the dimensionless functions discussed in class. Use of Mathematica is recommended.

(3) Using results from # 1 and # 2 above, calculate the pressure, temperture, and density at the center of your star.

(4) Compare your results with the research-quality results for the Sun, presented in Figures 11.4 - 11.6 of the book.