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Mutual gravitational energy of homogeneous prolate spheroids. Collinear caseстатья
- Авторы: Kondratyev B.P., Kornoukhov V.S., Kireeva E.N.
- Журнал: eprint arXiv:astro-ph
- Год издания: 2023
- Первая страница: 1
- Последняя страница: 8
- Номер статьи: 2303.13892
- DOI: 10.48550/ARXIV.2303.13892
- Аннотация: The problem of mutual gravitational energy Wmut for a system of two homogeneous prolate spheroids, whose symmetry axes are on the same line, is set and solved. The method of equigravitating elements is applied, where the external potentials of three-dimensional spheroids are represented by the potentials of one-dimensional inhomogeneous focal rods. The solution of the problem is reduced to the integration of the potential of one rod over the segment of the second rod. As a result, the expression Wmut for two prolatespheroids can be obtained in a finite analytic form through elementary functions. The force of attraction between the spheroids is found. The function Wmut is also represented by a power series in eccentricity of the spheroids. Possible applications of the obtained results are discussed.
- Добавил в систему: Кондратьев Борис Петрович