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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。
The initial error sensitivity of the transfer orbit from the lunar orbit to the orbital equilibrium is numerically simulated and analyzed. Two types of transfer orbits are introduced: long transfer and short transfer. The mathematical relationship between the initial velocity error and the orbital deviation is established. The linear relationship between the initial velocity error and the orbital deviation is obtained by numerical calculation. By establishing the first-order variational expressions of the initial state and the end state quantities of the orbit, the reasons and the applicable scope of the linear relationship between the initial and final deviation quantities are illustrated. The results show that the long-shift trajectories are more sensitive to the initial velocity errors than the short-term ones, and their linear ranges of the initial and final deviations have a smaller range of application.