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

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.