Resonance effects accompanying motion with low thrust in earthmoon system
Abstract
None of the many studies made of spacecraft motion along spiral trajectories in the earth's gravitational field have considered the perturbing effect of the moon, especially as regards resonance. A study of interorbital resonances was made, but limited to plane motions of the spacecraft and assuming the lunar orbit to be circular. The investigation is made in the framework of the restricted circular threebody problem, complicated by an allowance for jet acceleration. The possibility of capture at resonance is examined. It is shown that sometimes when commensurability is attained between the periods of revolution of the sapcecraft and moon the evolution of the spiral orbit eases because the engine thrust is compensated by the attraction of the moon. Only one of the possible mechanisms of capture at resonance is studied, i.e., the winding of a spiral trajectory into an asymptotically stable periodic orbit. The problem is examined in a uniformly rotating coordinate system in which the earth and moon are at rest. It is shown that under definite conditions the influence of orbital resonances qualitatively changes the character of motion, including the occurrence of capture. An analytical expression for describing these conditions is derived. Examples of asymptotically stable resonance orbits are presented.
 Publication:

JPRS Report Science Technology USSR Space
 Pub Date:
 February 1988
 Bibcode:
 1988RpScT.......16K
 Keywords:

 Gravitational Fields;
 Lunar Gravitation;
 Resonance;
 Satellite Orbits;
 Lunar Effects;
 Lunar Orbits;
 Perturbation;
 Trajectory Analysis;
 Astrodynamics