Beletsky V. V., Lopes R. V. F., Pivovarov M. L.
Keldysh Institute of Applied Mathematics, 4 Miusskaya, 125047 Moscow, Russia.
Chaos. 1999 Jun;9(2):493-498. doi: 10.1063/1.166422.
The rotational motion of a satellite with a magnetic stabilization system is discussed. The motion is described by a nonautonomous differential equation, with the magnetic moment of the satellite as a parameter. The global phase portrait of the problem is investigated in a wide range of magnetic-parameter values, using a numerical realization of the method of Poincare point maps. New periodic solutions of the problem are found, and an analysis is carried out of the evolution of the phase portrait and the bifurcation of periodic solutions with varying magnetic-parameter values. The values of the magnetic parameter that must be avoided in the design of the satellite magnetic stabilization system are discussed. (c) 1999 American Institute of Physics.
讨论了带有磁稳定系统的卫星的旋转运动。该运动由一个非自治微分方程描述，卫星的磁矩作为参数。利用庞加莱点映射方法的数值实现，在广泛的磁参数值范围内研究了该问题的全局相图。找到了该问题的新的周期解，并对相图的演化以及周期解随磁参数值变化的分岔进行了分析。讨论了卫星磁稳定系统设计中必须避免的磁参数值。(c) 1999美国物理研究所。
