Spin-Orbital Resonance Motion of a Satellite with Two Flexible Viscoelastic Rods in an Elliptical Orbit

Abstract

The present work is aimed at studying the rotational motion of a satellite in a central force field in an elliptical orbit. A satellite is simulated by a dynamically symmetrical solid body with flexible viscoelastic rods, firmly fastened along the symmetry axis. In the absence of strain in the rods, the central ellipsoid of inertia of the satellite has a spherical shape. The averaged set of equations of perturbed motion near a 1 : 1 resonance at small eccentricities is obtained. Capture in a 1 : 1 spin-orbital resonance is substantiated.