Optimal switching conditions for minimum fuel fixed time transfer between non coplanar elliptical orbits
Optimal switching conditions for minimum fuel fixed time transfer between non coplanar elliptical orbits
复制标题
DOI：
10.1016/0094-5765(84)90046-8
复制
发表时间：
1984-10
影响因子：
3.5
通讯作者：
K. Eckel;N. Vinh
中科院分区：
文献类型：
--
作者：
K. Eckel;N. Vinh
应用最大最小值理论，给出了具有时间约束的非共面椭圆轨道间双脉冲转移问题的最优切换条件。它示出的所有元素的转移轨道，总的特征速度的转移和脉冲之间的飞行时间可以明确地表示在三个变量，即转移轨道的半latus直肠，和真正的异常定义的初始和最终轨道上的脉冲的位置，分别。根据这些变量，三个必要的最优条件，推导出解决问题的最小燃料，固定时间转移或问题的最小时间转移为规定的燃料消耗。在固定时间共面转移和自由时间非共面转移的特殊情况下，一般最优条件被简化为已发表文献中的经典最优条件。特别是，它示出的最小燃料，固定时间共面圆轨道之间的转移，最佳条件可以表示在朗伯不变参数。
The ordinary theory of maxima and minima is applied to develop the optimal switching conditions for the problem of two-impulse transfer with time constraint between non-coplanar elliptical orbits. It is shown that all the elements of the transfer orbit, the total characteristic velocity for the transfer and the time of flight between impulses can be expressed explicitly in terms of three variables namely the semi-latus rectum of the transfer orbit, and the true anomalies defining the locations of the impulses on the initial and the final orbit, respectively. In terms of these variables, three necessary optimal conditions are derived for solving either the problem of minimum-fuel, fixed-time transfer or the problem of minimum-time transfer for a prescribed fuel consumption. In the special cases of fixed-time coplanar transfer and free-time non-coplanar transfer, the general optimal conditions are reduced to the classical optimal conditions in the published literature. In particular, it is shown that for the minimum-fuel, fixed-time transfer between coplanar circular orbits, the optimal conditions can be expressed in terms of Lambert's invariant parameters.