Polytropes: Applications in Astrophysics and Related Fields: 306 (Astrophysics and Space Science Library, 306) - Image 1

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Springer Polytropes: Applications in Astrophysics and Related Fields: 306 (Astrophysics and Space Science Library, 306)

Name: Polytropes: Applications in Astrophysics and Related Fields: 306 (Astrophysics and Space Science Library, 306)
Brand: Springer
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Star Gazing

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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.

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Brand: Springer
Format: Hardcover
ASIN: 1402023502
Category: Books > Subjects > Science, Nature & Maths > Astronomy & Space Science > Astronomy > Star Gazing
Domain: Amazon UK
Release Date: 28 July 2004
Listed Since: 30 December 2006

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