Steadystate rotations of a solid body in a periodic orbit near a collinear libration point
Abstract
The analysis deals with the motion of a dynamically symmetric body with respect to the center of mass near a collinear libration point of the restricted circular threebody problem. It is assumed that the periodic orbit of the body's center of mass constitutes an intercept of a line that passes through the libration point and is normal to the plane of rotation of the attracting masses. Two versions of steady rotations are identified in an orbital system of coordinates, and their stability is analyzed in the first approximation.
 Publication:

Prikladnaia Matematika i Mekhanika
 Pub Date:
 June 1979
 Bibcode:
 1979PriMM..43..411M
 Keywords:

 Lagrangian Equilibrium Points;
 Librational Motion;
 Rotating Bodies;
 Three Body Problem;
 Center Of Mass;
 Collinearity;
 Differential Equations;
 EarthMoon System;
 Equations Of Motion;
 Hamiltonian Functions;
 Lagrange Coordinates;
 Linearization;
 Orbital Mechanics;
 Astrodynamics