New Formula for the Angular Velocity of Rotation of Liquid Equilibrium Figures

Автор: Kondratyev B.P.
Журнал: Astronomy Reports
Том: 68
Номер: 10
Год издания: 2024
Издательство: Pleiades Publishing, Inc.
Местоположение издательства: New York, USA
Первая страница: 1014
Последняя страница: 1021
DOI: 10.1134/S1063772924700872
Аннотация: The aim of the work is to derive a new dynamic formula for the angular velocity of rotation of equilibrium figures of a gravitating fluid with a polytropic equation of state. In this formula, the angular velocity of rotation depends not only on the polytropic index but, most importantly, on the components of the internal and external gravitational energy of the figure. When solving the problem, the integration constant in the full potential was expressed through three global characteristics: mass, full gravitational energy and rotation energy of the equilibrium figure. The validity of the new formula was confirmed by the limiting transition at to classical homogeneous Maclaurin spheroids and Jacobi ellipsoids. The results of the work expand the scope of application of the theory of equilibrium figures.
Добавил в систему: Кондратьев Борис Петрович

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