Figures of equilibrium in close binary systems |
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Authors: | J A López Ortí A López García R López Machí |
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Institution: | (1) Departamento de Matemáticas e Informatica, Universidad Jaime I de Castellón, France;(2) Observatorio Astronómico de la Universidad de Valencia, France;(3) Departamento de Matemática Aplicada y Astronomia, Universidad de Valencia, France |
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Abstract: | The equilibrium configurations of close binary systems are analyzed. The autogravitational, centrifugal and tidal potentials are expanded in Clairaut's coordinates. From the set of the total potential angular terms an integral equations system is derived. The reduction of them to ordinary differential equations and the determination of the boundary conditions allow a formulation of the problem in terms of a single variable. |
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Keywords: | Figure of celestial bodies spherical harmonics Poisson equations close binary stars |
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