By S. Chandrasekhar, Kameshwar C. Wali
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Additional resources for A Quest for Perspectives: Selected Works of S. Chandrasekhar: With Commentary (Volume 1)
So) Thus for small masses ("small" when expressed in units of M3) there is a  contraction by a factor of about 3 the configuration in passing from a state in which degeneracy is just beginning to develop at the centre to the completely collapsed state. In the gaseous state the central density is about 54 times the mean density, while in the completely collapsed state the central density is only 6 times the mean density. T h e net result, however, is an increase in the central density by about a factor 2 (more exactly 22650) in passing to the completely collapsed state.
I-^) between the gas and the radiation pressure is a constant. Also in a well-known notation &  • tpcGM (19) The parametric representation for the equation of state in equations (5) and (9) can be used, since " / 3 " is now a constant. The reduction to Emden's equation L*If£)„-P, (20) proceeds in the usual way. In our notation the reduction is effected by the following substitutions :— ai _ / zAx V' 2 1 [ (21) WW B\i\ We find also that / 2A, \3/i 1 dd Finally it might be recalled that 5. «k in the Milne , <24) x If the configuration is wholly gaseous, then we have (25)* where "3• ° - - ( ^ ) .
KTJ" (in this combination) occurs only in §§ 10, 11.  1-51-41-31-21-1- E m d e n -Eddington Polytropes (Wholly gaseous configurations) 1-0- 0-90-80-7- & Pi O (J 0-6 0-5 H5 -14 04- J -13 0-3 -12 -11 -10 Region of composite configurations >jj5 (Domain of degeneracy) 0-2-' - 9 0-1 0 -8 7 t-6 4 0 i 420-01 0-02 0-03 0-04 0-05 0-06 0-07 0-08 0-09 0-10 0-11 0-12 0-J8,)* FIG. —The curve running from I - ft = -092 . . R0> 1 -fl^-curve (see equation (35)). The points marked (5 . . is) on the (R0, 1 ~pt)-curve and the Rt axis are the end-points (in the domain of degeneracy) for the curves of constant mass for those values of M tabulated in Table II.
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