Solutions to the restricted three-body problem with variable mass
Mathematical Physics
2011-03-17 v1 math.MP
Abstract
We look for particular solutions to the restricted three-body problem where the bodies are allowed to either lose or gain mass to or from a static atmosphere. In the case that all the masses are proportional to the same function of time,we find analogous solution to the five stationary solutions of the usual restricted problem of constant masses: the three collinear and the two triangular solutions, but now the relative distance of the bodies changes with time at the same rate. Under some restrictions, there are also coplanar, infinitely remote and ring solutions.
Cite
@article{arxiv.1103.3193,
title = {Solutions to the restricted three-body problem with variable mass},
author = {Tiago Amancio da Silva and P. S. Letelier},
journal= {arXiv preprint arXiv:1103.3193},
year = {2011}
}