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{\bf Introduction to Astrophysics I, 29:119\\
     Fall, 2008\\
Tenth  Homework Set...December 4, 2008.\\ Due December 11, 2008}\\
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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: 
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\item The star is convective throughout.
\item The energy generation mechanism is the proton-proton cycle.
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{\bf (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.  \\

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{\bf (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 {\em Mathematica} is recommended. \\

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

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




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