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研究卫星编队构型在J2项摄动和大气阻力摄动作用下的演化进程。从相对运动动力学模型出发,分别加入J2项摄动和大气阻力摄动因素,采用数值积分对所获得的运动方程求解,得到参考星和环绕星在惯性坐标系中的绝对运动规律;将两星的绝对运动规律作差后,利用坐标转换矩阵,将惯性坐标系中两星的相对运动规律转换到Hill坐标系中。由于该方法没有经过任何简化,故研究摄动的影响时不存在误差。最后通过仿真分析,给出了J2项摄动和大气阻力摄动作用下卫星编队构型演化的相关结论,并提出进一步研究的方向。
The evolution of satellite formations under J2 perturbation and atmospheric resistance perturbation is studied. Based on the kinematic model of relative motion, the perturbations of J2 and perturbations of atmospheric resistance are respectively added. The equations of motion obtained by numerical integration are solved, and the absolute motion law of reference stars and surrounding stars in inertial coordinate system is obtained. The absolute motion of the star made bad, the use of coordinate transformation matrix, the inertial coordinate system, the relative movement of two stars into the Hill coordinate system. Since this method does not undergo any simplification, there is no error in studying the effects of perturbation. Finally, through simulation analysis, the correlative conclusions of formation of satellite formation under J2 perturbation and atmospheric resistance perturbation are given, and the direction of further research is proposed.