Публикация
подготовлена сотрудниками:
д. ф.-м. н, проф. Ольшанский В. Ю..
на базе:
Лаборатория механики, навигации и управления движением.
Аннотация
The paper provides a complete description of the conditions of regular precession under the influence of Newtonian and magnetic fields of a satellite-gyrostat whose centre of mass moves along a circular orbit. The general case is considered in which the axis of proper rotation, in contrast with known solutions, may not coincide with the principal axis of inertia. The Euler–Poisson equations are used to describe the satellite’s rotation about its centre of mass. The obtained solution of the Poisson equations makes it possible to perform a complete analysis of the precession conditions in a compact form and to identify a number of new cases, both when the magnetic torque is taken into account and when precession occurs only under the action of the Newtonian torque. New cases of precession of a gyrostat with axial dynamic symmetry, whose gyrostatic and magnetic moments are directed along the axis of symmetry or deviate from this axis, are found. The physical meaning of the precession conditions is discussed. For an asymmetric gyrostat, two types of solutions are obtained. The first type, in the special case when the axis of proper rotation coincides with the principal axis of inertia, includes the known solutions of Balli–Pucci (for the Newtonian field) and Yehya–El-Kenani (for the superposition of Newtonian and magnetic fields). For solutions of the second type, the axis of proper rotation is perpendicular to the circular section of the gyrostat inertia ellipsoid; in particular, a new case of gyrostat precession in a Newtonian field is obtained.
Ключевые слова: Gyrostat · Satellite · Circular orbit · Regular precession · Magnetic field
DOI https://doi.org/10.1007/s10569-026-10288-0
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Цитировать:
Ol’shanskii, V. Regular precession of a satellite-gyrostat on a circular orbit in the gravity and magnetic fields. Celest Mech Dyn Astron 138, 17 (2026). https://doi.org/10.1007/s10569-026-10288-0