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针对以重力梯度稳定方式设计的3种典型空间太阳能电站轨道动力学问题,提出了考虑地影和有效截面积变化的太阳光压模型.首先,采用能量方法,通过Legendre变换,引入广义动量,建立了Hamilton体系下轨道的正则方程;其次,采用辛Runge-Kutta方法求解相应的正则方程;最后通过数值试验分析,验证了模型的有效性以及数值求解方法的稳定性.同时,说明了地影和有效截面积变化对空间太阳能电站轨道有显著的影响;给出了空间太阳能电站对其半长轴、离心率以及轨道倾角的轨迹曲线,为空间太阳能电站的设计提供一种理论参考.
Aiming at the orbital dynamics problems of three kinds of typical space solar power stations designed by the method of gravity gradient stabilization, a solar pressure model considering the change of the ground shadow and the effective cross-sectional area is proposed. First, the energy method is introduced to introduce the generalized momentum through the Legendre transform The canonical equations of the orbit under the Hamilton system are obtained. Secondly, the corresponding canonical equations are solved by the symplectic Runge-Kutta method. Finally, the validity of the model and the stability of the numerical solution are verified by numerical experiments. At the same time, The change of effective cross-sectional area has a significant influence on space solar power station orbit. The trajectory curves of space solar power station for its semi-major axis, eccentricity and orbit inclination are given, which provides a theoretical reference for the design of space solar power station.