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研究了太阳帆悬浮轨道的动力学特性,主要分析了稳定性条件。首先建立垂直于太阳-行星连线的悬浮轨道模型,在柱坐标系下,依据Hamilton原理得到悬浮轨道角动量与太阳光压的关系。然后,针对小扰动情况运动方程,分析悬浮轨道线性与非线性稳定性条件。最后,运用Hamilton-Jacobi理论进行变量分离,得到物理意义明显的动力学方程。仿真结果表明,选取合适的初始值,可以实现稳定的太阳帆悬浮轨道。
The dynamic characteristics of solar sail suspension orbit are studied, and the stability conditions are mainly analyzed. Firstly, a suspended orbit model perpendicular to the solar-planetary connection is established. Under the cylindrical coordinate system, the relationship between the angular momentum of the suspended orbit and the solar pressure is obtained based on the Hamilton principle. Then, according to the motion equation of small disturbance, the conditions of linear and nonlinear stability of suspended orbit are analyzed. Finally, Hamilton-Jacobi theory is used to separate the variables, and the kinetic equation with obvious physical meaning is obtained. The simulation results show that a stable solar sail suspension orbit can be achieved by choosing proper initial values.