Solutions to the restricted three-body problem with variable mass

Details Solutions to the restricted three-body problem with variable mass Solutions to the restricted three-body problem with variable mass

2011-03-16

arxiv.org/abs/1103.3193v1

Astrophysics and Space Science 332, 325-329 (2011)

Physics

Mathematical Physics

Scientific paper

10.1007/s10509-010-0554-0

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.

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