全方向长期伴飞卫星集群轨道设计与仿真

主要研究在J2摄动的影响下，在中心卫星周围全方向上部署长期相对有界伴飞卫星的轨道设计方法。首先，利用J2不变的条件，由已知中心卫星轨道根数建立伴飞卫星的半长轴、偏心率及轨道倾角之间关系。然后，通过对伴飞卫星和中心卫星之间初始相对位置及轨道根数之间关系的分析，得到伴飞卫星的全部初始轨道根数，使其能够部署到中心卫星周围的任意方向上，从而能实现卫星集群在中心卫星的周围全方向长期有界伴飞。最后，通过轨道仿真验证了该方法的有效性。

Design and Simulation of Long-term Bounded Satellite Cluster Orbit in All Directions

This paper mainly studies a method of deploying satellites in all directions in the case of J2 perturbed environments, while maintaining relatively long-term bounded. First, using J2-invariant conditions, the relationship is established among the semi-major axis, eccentricity, and orbit inclination from orbit elements of the center satellite. Then, by analyzing the relationship of initial relative position and orbit elements between the center satellite and the deputy satellites, the initial orbit elements of the deputy satellites are obtained, which can be deployed to any direction of the center satellite, so that multi-satellite clusters can be used to fly in all directions around the center satellite and maintain relatively long-term bounded. Finally, the simulation results prove the effectiveness of the method.