{"product_id":"polytropes-applications-in-astrophysics-and-related-fields-9781402023507","title":"Polytropes: Applications in Astrophysics and Related Fields","description":"\u003cp\u003e • Author(s): Georg P. Horedt\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Physics - Astrophysics\u003c\/p\u003e\u003cp\u003eWhile 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":47613768269975,"sku":"9781402023507","price":22035.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781402023507.webp?v=1775087734","url":"https:\/\/atlanticbooks.com\/products\/polytropes-applications-in-astrophysics-and-related-fields-9781402023507","provider":"Atlantic Books","version":"1.0","type":"link"}