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Space Grant Consortium - University of Wisconsin - Green Bay

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R is the core radius, which is arbitrary, so we replace it with r again<br />

GMf.,imp -a<br />

) a+lk ,Pgas = r (A9)<br />

(1 + a r BPgas<br />

GMf.,imp<br />

Tgas(r) = kB(l + a)r<br />

AlO is the working temperature pr<strong>of</strong>ile seen as equation 2 above.<br />

B. Appendix B<br />

C. Appendix C<br />

Our expression for luminosity in equation 7 above came from a very simple subsitution<br />

(AlO)<br />

(Bl)<br />

(Cl)<br />

4<br />

P = T 3lT -+ T = [RPjl/4 (C2)<br />

R 3lT<br />

L = (4/3)1rR3Pavg (C3)<br />

17

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