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飞往日-地动平衡点轨道初始误差敏感度分析
王亚敏, 乔栋, 崔平远
北京理工大学宇航学院, 北京 100081
摘要:
对从环月轨道飞往日-地动平衡点轨道的转移轨道初始误差敏感度进行了数值仿真与分析。介绍了两种类型的转移轨道:长转移与短转移。建立初始速度误差与轨道末端偏差之间的数学关系式,采用数值计算获得了初始速度误差与轨道末端偏差量之间的线性关系曲线。通过建立轨道初始状态与末端状态量的一阶变分表达式,来说明始末偏差量呈线性关系的原因以及适用范围。研究表明,长转移轨道相较于短转移,对初始速度误差更为敏感,其始末偏差的线性关系适用范围更小。
关键词:  日-地动平衡点;日-地-月系统;敏感度分析
DOI:10.15982/j.issn.2095-7777.2015.02.004
分类号:
基金项目:国家基础研究发展计划(973计划)(2012CB720000);国家自然科学基金(11102020);新世纪优秀人才支持计划;北京高等学校青年英才计划项目
Sensitivity Analysis of Initial Error for the Trajectory to the Sun-Earth Libration Point
WANG Yamin, QIAO Dong, CUI Pingyuan
School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
Abstract:
The sensitivity of initial error for the transfer trajectory from lunar orbit to the Sun-Earth libration point orbit was calculated and analyzed. First, the short and long transfer trajectories for this kind of transfer issue were proposed. Then, the mathematical relation between initial error and terminal derivation was built. The relation is found to be linear by numerical calculation. Finally, the reason why the linear relation existed and its applicable conditions were explored by the first-order variation expression of initial error and terminal derivation. The result indicated that the long transfer is more sensitive to initial error than short transfer and that the applicable conditions for long transfer is stricter.
Key words:  Sun-Earth libration point;Sun-Earth-Moon system;sensitivity analysis