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 L₁ 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.