Dynamics of cosmic masses in the field of two attracting centersстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 23 января 2026 г.
Аннотация:To ensure the safety of space flights, it is important to take into account the size and mass distribution of space objects, in contrast to the simplest model of a material point. So, an important task of applied space flight dynamics is to study the motion of a satellite around its center of mass during orbital motion.We consider the problem of relative equilibrium of a three-axis rigid body in the field of two attracting centers moving in circular orbits around a common center of mass, and discuss an ‘‘extended’’ restricted three-body problem to obtain the equilibrium positions of a rigid body of small mass, the center of mass of which is forced to be at the libration point.Within the framework of the satellite approximation, an analytical method is proposed for finding the equilibrium positions of a three-axis rigid body. In practice, such orientation of the space station ensures a safe, stable position without entering into an increasing oscillatory mode for a long time without additional energy costs for control. Numerical simulations for the parameters of the Earth-Moon system illustrate the optimality for considered object to be in the found orientation.