论文部分内容阅读
针对无摄椭圆轨道,推导了表示真实相对位置速度的状态转移矩阵,进而推导出了相对运动两点边界值问题的一阶解析解。所得结果不仅可指定转移时间、还可在时间范围内进行全局的燃料优化或在时间和燃料两者间折中;对于周期和非周期的相对运动均适用。仿真结果表明此解的归一化精度达到10-6。进一步的仿真发现相对转移过程的燃料消耗会随目标轨道偏心率的增加而增加;随长半轴的增加而减少;随初始真近点角的增加呈现周期性变化;随着转移时间增加,燃料消耗的总趋势是减少的。
Aiming at the ellipse-free orbit, the state transition matrix which represents the real relative position velocity is deduced, and then the first-order analytical solution to the two-point boundary value problem of relative motion is deduced. The results not only specify the transfer time, but also global fuel optimization over time or trade-off between time and fuel, both for periodic and non-periodic relative motions. Simulation results show that the normalized accuracy of this solution reaches 10-6. Further simulation shows that the fuel consumption of relative transfer increases with the increase of the eccentricity of the target orbit, decreases with the increase of the semi-major axis, and changes periodically with the increase of the initial true near-point angle. As the transfer time increases, the fuel The general trend of consumption is reduced.