A Jacobitype integral in the circular restricted problem of three rigid bodies
Abstract
A first integral is obtained for equations describing the translationalrotational motion of a passive satellite body of a arbitrary shape and dynamical structure. It is moving in the gravitational field of two active bodies whose centers of mass are in mutual circular orbit and which maintain fixed orientations in a rotating reference frame. If the bodies are all mass points or spheres with concentric density contours, then the integral obtained will reduce to the classical Jacobi integral for the circular restricted threebody problem.
 Publication:

Soviet Astronomy Letters
 Pub Date:
 June 1986
 Bibcode:
 1986SvAL...12..167K
 Keywords:

 Equations Of Motion;
 Gravitational Fields;
 Jacobi Integral;
 Rigid Structures;
 Three Body Problem;
 Cartesian Coordinates;
 Liapunov Functions;
 Satellite Orbits;
 Satellite Rotation;
 Physics (General)