摘要
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.
The orbital dynamic behaviors of 3 typical space solar power stations（ SSPSs） under the gravity gradient stabilized flight strategy were investigated. In viewof the earth shadowand the effective cross-sectional area,a solar radiation pressure model was established. Firstly,the energy method was used,through the Legendre transformation and with the generalized momenta introduced,the canonical equations for the orbits in the Hamiltonian system were derived; then,the symplectic R unge-Kutta method was adopted to solve the corresponding canonical equations. Finally,several numerical examples were given,and the effectiveness of the proposed model and the stability of the numerical scheme were verified,in comparison with the previously reported results. The effects of the earth shadowand the effective cross-sectional area variations on SSPSs are significant. Meanwhile,the curves of the semi-major axis,eccentricity and orbital inclination in the geosynchronous orbit were obtained. The results provide a theoretical reference for the design of SSPSs.
出处
《应用数学和力学》
CSCD
北大核心
2017年第4期399-409,共11页
Applied Mathematics and Mechanics
基金
国家自然科学基金(11432010
11572254)~~
