太阳帆塔轨道和姿态耦合动力学建模及辛求解

Dynamic Modelling and Symplectic Solution of Coupled Orbit & Attitude for Solar Sail Towers

在建立太阳帆塔太阳能电站简化模型的基础上,将系统的动力学方程从Lagrange体系导入到了Hamilton体系,给出了带约束的Hamilton正则方程;进而采用祖冲之类算法和辛Runge-Kutta方法分析了太阳帆塔轨道和姿态耦合系统的动力学特性,并讨论了算法的保能量、保约束特性;最后,数值模拟了系统的动力学特性,说明了所提方法的有效性.

A simplified model for solar sail towers was established. Firstly, the dynamic equa- tions for the system were transformed from the Lagrangian system into the Hamiltonian system, and the canonical constrained Hamiltonian equations were obtained. Then the dynamic charac- teristics of the coupled orbit-attitude system of the solar sail tower were analyzed with the sym- plectic Runge-Kutta method and the Zu-class method. Energy and constraint conservation prob- lems of the schemes were also investigated. Finally, the dynamic characteristics of the system were numerically simulated. The results illustrate the effectiveness of the proposed method.