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

By S. Chandrasekhar, Kameshwar C. Wali

ISBN-10: 1860942849

ISBN-13: 9781860942846

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Additional info for A Quest for Perspectives: Selected Works of S. Chandrasekhar: With Commentary (Volume 1)

Example text

Our derivation now shows " w h y " we are able to reduce the differential equation for degenerate gas Spheres in gravitational equilibrium to such a simple form. The "reason" is that we have such an elementary integral for P as in (6). The function/(#) on the right-hand side of (9) has the following asymptotic forms:— / ( * ) ~ t * » - f c e T + * * » - - & * " + . . X-+Q, (il) f(x) ~ 2x* - 3* 2 + . . *-><». (12) Finally we notice that f(x) —- < 1 for all finite x. (13) v 3/ 2X* The inequality in (13) is a strict one.

A systematic treatment of the composite configurations consisting of a gaseous envelope surrounding a degenerate core is undertaken in the second part of the paper. Towards the end the bearing of the results of these studies on the wider problems of stellar evolution is briefly commented upon. I. General Considerations 3. — Consider material at density p and temperature T. T h e gas pressure according to the perfect gas law is where k is the Boltzmann constant, /A the molecular weight and H the mass of the proton.

The analysis has been made possible by the derivation in the previous paper (referred to as I I ) j of the exact differential equation to describe degenerate matter in gravitational equilibrium. The present paper falls into two distinct parts. In the first part we develop certain consequences based on general principles. A systematic treatment of the composite configurations consisting of a gaseous envelope surrounding a degenerate core is undertaken in the second part of the paper. Towards the end the bearing of the results of these studies on the wider problems of stellar evolution is briefly commented upon.

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A Quest for Perspectives: Selected Works of S. Chandrasekhar: With Commentary (Volume 1) by S. Chandrasekhar, Kameshwar C. Wali


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