The interception problem of a celestial body with the use of the collinear libration points

A. Shmyrov, D. Shymanchuk, L. Sokolov
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引用次数: 9

Abstract

This paper studies the problem of an intercept trajectory construction when using the neighborhood of the collinear libration point L1 of the Sun-Earth system. A celestial body motion is considered in a rotating frame within the Hill's problem of the circular restricted three-body problem. It is known that collinear libration points are unstable but its instability can be used as a positive factor for maneuvering a celestial body in the near-Earth space. Development methodology of control algorithms for the orbital motion of a celestial body when using the instability of collinear libration points is offered. The construction of an intercept trajectory is based on the properties of a specially introduced phase variables function, called “hazard function”. The results of the numerical integration are graphically illustrated.
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利用共线振动点的天体拦截问题
本文研究了利用日地共线点L1的邻域进行截距轨迹构造的问题。在圆形受限三体问题的希尔问题中,考虑一个天体在旋转坐标系中的运动。众所周知,共线振动点是不稳定的,但它的不稳定性可以作为近地空间天体机动的积极因素。给出了利用共线振动点不稳定性的天体轨道运动控制算法的开发方法。拦截弹道的构造是基于一个特殊引入的相变量函数的性质,称为“危险函数”。数值积分的结果用图形表示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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