Abstract

The aim of this study is to optimize a low-thrust interplanetary trajectory using collinear libration points L₁ and L₂ as the junction points of the geocentric or planetocentric segments of the trajectory with the heliocentric segment. The problem of optimizing the heliocentric segment of perturbed low-thrust interplanetary transfer is considered in the four-body ephemeris model, which includes the Sun, Earth, target planet, and spacecraft. To optimize the trajectories, an indirect approach is used based on Pontryagin’s maximum principles and the continuation method. The possibility of reducing the characteristic velocity in comparison with the estimates obtained through the method of zero sphere of influence is shown.

中文翻译：

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不同行星共线平动点之间的低推力日心轨迹的优化

摘要

本研究的目的是使用共线平动点L ₁和L ₂作为轨迹的地心或行星心段与日心段的交汇点来优化低推力行星际轨迹。四体星历模型考虑了扰动低推力行星际传输日心段的优化问题，其中包括太阳、地球、目标行星和航天器。为了优化轨迹，使用了基于庞特里亚金极大值原理和连续方法的间接方法。与通过零影响范围方法获得的估计值相比，显示了降低特征速度的可能性。