Polytropes - Applications in Astrophysics and Related Fields (Hardcover, 2004 ed.)

While it seems possible to present a fairly complete uni?ed theory of undistorted polytropes, as attempted in the previous chapter, the theory of distorted polytropes is much more extended and - phisticated, so that I present merely a brief overview of the theories that seem to me most interesting and important. Basically, the methods proposed to study the hydrostatic equilibrium of a distorted self-gravitating mass can be divided into two major groups (Blinnikov 1975): (i) Analytic or semia- lytic methods using a small parameter connected with the distortion of the polytrope. (ii) More or less accurate numerical methods. Lyapunov and later Carleman (see Jardetzky 1958, p. 13) have demonstrated that a sphere is a unique solution to the problem of hydrostatic equilibrium for a ?uid mass at rest in tridimensional space. The problem complicates enormously if the sphere is rotating rigidly or di?erentially in space round an axis, and/or if it is distorted magnetically or tidally. Even for the simplest case of a uniformly rotating ?uid body with constant density not all possible solutions have been found (Zharkov and Trubitsyn 1978, p. 222). The sphere becomes an oblate ?gure, and we have no a priori knowledge of its strati? cation, boundary shape, planes of symmetry, transfer of angular momentum in di?erentially rotating bodies, etc.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Astrophysics and Space Science Library, 306
Release date:	July 2004
First published:	2004
Authors:	Georg P. Horedt
Dimensions:	297 x 210 x 39mm (L x W x T)
Format:	Hardcover
Pages:	724
Edition:	2004 ed.
ISBN-13:	978-1-4020-2350-7
Categories:	Books > Science & Mathematics > Physics > Applied physics & special topics > Astrophysics
LSN:	1-4020-2350-2
Barcode:	9781402023507

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