{"product_id":"polytropes-georg-p-horedt-9781402023507","title":"Polytropes: Applications in Astrophysics and Related Fields","description":"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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Georg P. Horedt\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1402023502\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781402023507\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/28\/2004\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 724\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.70lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.50h x 6.50w x 1.60d","brand":"Georg P. Horedt","offers":[{"title":"Hardcover","offer_id":44966312149247,"sku":"9781402023507","price":329.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_3cf93109-dce1-4282-9583-91433ea3ce50.jpg?v=1711159484","url":"https:\/\/www.whiterainbookhouse.com\/products\/polytropes-georg-p-horedt-9781402023507","provider":"WR Book House","version":"1.0","type":"link"}