J2摄动和太阳光压对绳系卫星系统的影响分析
Analysis of Impact of J2 Perturbations and Solar Radiation Pressure on Tethered Satellite System

通过引入广义坐标与广义动量，在Hamilton体系下建立了空间绳系卫星系统的动力学方程；在保守体系下，分别采用经典Runge-Kutta方法和辛Runge-Kutta方法离散方程，比较了两种方法在能量保持方面的优劣，重点分析了辛算法在长时间数值仿真中的优势；最后，采用辛算法进行数值求解，研究了J2摄动和光压摄动对轨道半径、真近点角、姿态角以及绳弹性变形的影响。结果表明J2摄动和太阳光压对绳系卫星系统的影响明显。
A "spring-mass" model is established for the tethered satellite system, and the dynamic equations of the system are derived in the Hamiltonian system with the introduction of generalized coordinates and generalized momenta. The classic Runge-Kutta method and symplectic Runge-Kutta method are applied to discretize the dynamic equations. The advantages of symplectic Runge-Kutta method are examined through long-time numerical simulations. Finally, the impact of J2 perturbation and solar radiation pressure on the orbital radius, true anamaly, attitude angle and elastic deformation of the tether are discussed. The results show that there exist obvious effects of J2 perturbation and solar radiation pressure on the tethered satellite system