Polytropes - Applications in Astrophysics and Related Fields (Paperback, Softcover reprint of the original 1st ed. 2004)

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
Country of origin:	Netherlands
Series:	Astrophysics and Space Science Library, 306
Release date:	December 2010
First published:	2004
Authors:	Georg P. Horedt
Dimensions:	235 x 155 x 37mm (L x W x T)
Format:	Paperback
Pages:	724
Edition:	Softcover reprint of the original 1st ed. 2004
ISBN-13:	978-90-481-6645-9
Categories:	Books > Science & Mathematics > Astronomy, space & time > General Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Applied physics & special topics > Astrophysics Books > Science & Mathematics > Chemistry > Physical chemistry > General
LSN:	90-481-6645-4
Barcode:	9789048166459

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