Fast non-resonance rotations of spacecraft in restricted three body problem with magnetic torques

Fast non-resonance rotations of spacecraft around center of mass in restricted three body problem with magnetic torques are considered. It is supposed that one of primary bodies has a magnetic field, the spacecraft has magnets such that the magnetic torque is constant in the frame connected with spacecraft. In addition, it is supposed that spacecraft orbit is described by quasi-periodic functions of time, the angular speed of spacecraft rotations much more than the elliptical mean motion of primary bodies.The averaged Hamiltonian of problem is obtained. For different parameters Dj which are functionals on a set of spacecraft orbits, the evolution of angular momentum vector of spacecraft is investigated. It is shown that the increase of the magnetic torque leads to the magnification of the inclination for angular momentum vector. In limiting case when gravitational torques can be neglected, the angular momentum vector will be parallel to the plane of the rotation of primary bodies.It is shown that there is a mathematical analogy between the purely magnetic rotations and gravitational rotations in plane orbits whenever bifurcation parameter N is unit.