By S. Chandrasekhar, Kameshwar C. Wali
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Additional info for A Quest for Perspectives: Selected Works of S. Chandrasekhar: With Commentary (Volume 1)
These are tabulated in Table I for the different values of y0. 12. From the figures of Table I it is easy to calculate the mass in units of M3, the radius in units of lt and the central density (=x 0 s ) m u m t s °f & * When yt -*• 00, q -*• 1 and the series (74) goes over into the expansion for Emden 6, near the origin (cf. British Association Tables, 2, Introduction, equation on top of page v).  (=08848 x io 6 /x grams cm. -3 ). These express the chief physical characteristics of these configurations in the "natural system" of units occurring in the theory of these configurations.
F l — = ^ = 0 - I O I 4 6 7 8 • • •' Pco 9 DO (is) or 1 - j S ^ =0-09212 . . ; jSto =0-90788. . (16) If for material at density p and temperature T the fraction (1 -/3) calculated by means of the equations (1), (2) and (3) is greater than 1 - /J^, then the system is definitely not degenerate. For values of /3 greater than fi^ (12) admits of a solution in finite x, and this value of x would define a convenient measure as to at what densities degeneracy would set in for a system with this prescribed j3.
1 5. —The mass of the material enclosed up to a point 7) is clearly rv rv M(TI)=^TT\ By