Regular Motions of a Rigid Body in the Gravitational Field of a Sphere

Авторы: Abulnag M.Z., Barkin Y.V.
Журнал: SOVIET ASTRONOMY
Том: 23
Год издания: 1979
Первая страница: 495
Последняя страница: 498
Аннотация: Abulnag M. Z., Barkin Y. V. (1979) Regular Motions of a Rigid Body in the Gravitational Field of a Sphere. Soviet Astronomy, Vol. 23, P. 495-498. Particular solutions to the problem of the rotational-translational motion of a body with arbitrary dynamical structure in the gravity field of a sphere are studied. The second and third harmonics are retained in the expansion of the Newtonian-interaction force function. A small parameter is introduced on the assumption that the third harmonic is small in comparison with the first and second harmonics. The small-parameter method is used to show that particular solutions corresponding to motions of the relative equilibrium in the rotating orbital coordinate system exist which are similar to the known regular motions of the 'arrow', 'spoke', and 'float' types. In some of these solutions the body's center of mass is found to move on a circular orbit whose fixed plane does not contain the sphere's center of mass.
Добавил в систему: Баркин Юрий Владимирович

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