On the Coupled Orbit-Attitude Control Motion of a Celestial Body in the Neighborhood of the Collinear Libration Point L1 of the Sun-Earth System

This paper considers the motion of a celestial body (as a rigid body) within the restricted three-body problem of the Sun-Earth system. The equations of controlled coupled attitude-orbit motion in the neighborhood of collinear libration point L-1 are investigated. The translational orbital motion of a celestial body is described using Hill's equations of circular restricted three-body problem of the Sun-Earth system. Rotational orbital motion is described using Euler's dynamic equations and quaternion kinematic equation. The problems of celestial body motion stability in relative equilibrium positions and stabilization of a celestial body translational motion with proposed control law in collinear libration point L1 are investigated. Results of numerical integration are presented graphically.