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

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.