平面脉冲作用下卫星轨道的可达范围研究  

Study on Reachable Domain for Satellite Trajectory with Coplanar Impulse Applied

作　　者：雪丹[1] 李俊峰[1] 宝音贺西[1] 

机构地区：[1]清华大学航天航空学院,北京100084

出　　处：《宇航学报》2009年第1期88-92,共5页Journal of Astronautics

基　　金：国家自然科学基金(10672084);中国博士后科学基金(20080430417)

摘　　要：对于在初始轨道任意点施加平面内幅值固定、方向任意的脉冲后卫星的可达范围进行研究。考虑脉冲幅值较小,生成轨道均为椭圆,分别针对初始轨道为圆和椭圆的情况进行研究。对于初始轨道为圆的情况,指出了可达范围为两圆形包络所夹的圆环;对于初始轨道为偏心率较小的椭圆的情况,给出了利用椭圆近似描述包络的表达式,并指出构成包络的点可以看作是在施加平行于初始速度方向的脉冲所生成的轨道上与脉冲施加点的真近点角相差约180°的点。This paper studies the reachable domain for satellite trajectory generated after coplanar single impulse with fixed magnitude and arbitrary direction applied at any point of the initial orbit. On the assmnption that the magnitude of impulse is small, all the generated trajectories are ellipses. The reachable domain is revealed respectively for initial circular orbit and initial elliptic orbit with small eccentricity. For the former case, the reachable domain is proved to be a ring, and the explicit formulas of the envelopes are given. For the latter case, the envelopes of the reachable domain are described approximately by two ellipses, and it shows that the envelopes consist of the points which have a discrepancy of about 180° in true anomalies with the points where impulse is applied respectively on the trajectories generated after impulse parallel to the initial velocity applied.

关 键 词：卫星轨道 脉冲 可达范围 包络 

分 类 号：V412.41[航空宇航科学与技术—航空宇航推进理论与工程]