Motion of the two rigid bodies under the gravitational influence of each other
Abstract
The motion of two rigid bodies under the mutual gravitational attraction has been studied under the conditions: 1. The inertia ellipsoids of A and B for their respective mass centres A^{*} and B^{*} are triaxial ellipsoids; 2. either the distance between A^{*} and B^{*} is considerably greater than the greatest dimension of either body, or the ellipticities of the inertia ellipsoids of A and B are small; 3. initially the angular velocities of A and B in an inertial reference frame R are parallel to one of their principal axes at A^{*} and B^{*}, say A_{3} and B_{3} respectively, such that the moment of inertia of each body about the corresponding axis is largest and 4. the mass centres A^{*} and B^{*} move in a plane whose orientation is not fixed in R.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 February 1980
 Bibcode:
 1980A&A....82..163B
 Keywords:

 Celestial Bodies;
 Celestial Mechanics;
 Gravitational Effects;
 Two Body Problem;
 Center Of Mass;
 Equations Of Motion;
 Hamiltonian Functions;
 Torque;
 Astronomy