Changing the spatial orientation of a rigid body using one moving mass in the presence of external forcesстатьяИсследовательская статья
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Дата последнего поиска статьи во внешних источниках: 26 января 2024 г.
Аннотация:The problem of changing the spatial orientation of a rigid body according to a given program using a movable mass interacting with it in the presence of external forces is considered. An equation is obtained that describes the motion of this mass. The properties that the statement of the problem must satisfy in order for it to have a solution are revealed. Equations for calculating the reorientation program are obtained. They are based on the properties of the vector, which is the difference between the vector of the derivative of the angular momentum of a rigid body, determined by a given reorientation program, and the vector of the moment of external forces acting on the solid during the implementation of this program. It is shown that this difference determines three main variants of the algorithm. For the most complicated case, an example of the spatial reorientation of a mechanical system is considered. The resulting relationships can be used to control spacecraft and robotic systems.