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Polytropes: Applications in Astrophysics and Related Fields (Astrophysics and Space Science Library, 306) - Hardcover
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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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Polytropes : Applications in Astrophysics and Related Fields
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Springer Netherlands, 2004
ISBN 10: 1402023502
ISBN 13: 9781402023507
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Polytropes: Applications in Astrophysics and Related Fields (Astrophysics and Space Science Library, 306)
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Polytropes
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Condition: New. 1: Polytropic and Adiabatic Processes. 1.1. Basic Concepts. 1.2. Polytropic and Adiabatic Processes in a Perfect Gas. 1.3. Polytropic Processes for a General Equation of State. 1.4. Adiabatic Processes in a Mixture of Black Body Radiation and Perfect Gas. 1. Seller Inventory # 65999975
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Polytropes : Applications in Astrophysics and Related Fields
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Buch. Condition: Neu. Neuware - 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. Seller Inventory # 9781402023507
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