具有内部弹性和耗散力的卫星的稳定旋转

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2018.03.011

N.I. Amelkin, V.V. Kholoshchak

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引用次数: 4

摘要

采用Lavrent 'ev模型(用带球面阻尼器的刚体壳来模拟卫星)研究了内力对中心重力场中卫星运动的影响，假设阻尼器的相对位移同时产生耗散内力和弹性内力。在此模型的框架内，确定了在圆形轨道上运行的动态对称卫星的所有稳态旋转，并研究了它们的稳定性与阻尼和刚度系数值的关系。

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Steady rotations of a satellite with internal elastic and dissipative forces

Lavrent’ev's model (a satellite is simulated by a rigid shell with a spherical damper) is used to study the effect of internal forces on the motion of a satellite in a central gravitational field assuming that both dissipative and elastic internal forces arise with relative displacements of the damper. All the steady rotations are determined within the framework of this model for a dynamically symmetric satellite in a circular orbit and their stability is investigated as a function of the values of the damping and stiffness coefficients.

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来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.