A Quest for Perspectives: Selected Works of S. by S. Chandrasekhar, Kameshwar C. Wali

By S. Chandrasekhar, Kameshwar C. Wali

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Example text

Sxii! a = i - - 2 . (75)* The important quantities of interest are the boundary quantities occurring in equations (66), (67), (69). 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).

They are better stated in the author's article in the Observatory, 67, 93, 1934—especially the remarks in the footnotes of p. 95. , 9 1 , 456, 1931) will be referred to as I. * Then P=p+p' = lp = -±-p\ (3) Eliminating T in (i) we have 1/3 '•iWiT. Pm- (4) Instead of (4) we shall introduce a parametric representation as in II, equations (4), (5). We set P=Bx3> Substituting (5) in (4) we have B = 3 / p A • (5) -2X' ' Kk^-f) (6) where A% as defined in II is given by II lit - U . 2x<=2AlX* (say). (9) It has of course to be understood that equation (9) is merely another form for (1).

S. units) A2 =60406 x i o 2 2 ; B =98848 x 10V, (17) or log p= 5-9950 + 3 l o g * + log fiA ,8) v log p =227811 +log/(x) J" Stoner has previously made some calculations concerning the (p, p) relation for a degenerate gas, but for the study in the following paper more accurate tables for f(x) were needed. Accordingly the whole computation was re* The law P=Ktp,,a was first used by the author in his paper on "Highly Collapsed Configurations," etc. , 91, 456, 1931). This law has also been derived by E.