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Closed Form Approximation Solutions for the Restricted Circular Three Body Problem

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

An approach is developed to find approximate solutions to the restricted circular three body problem. The solution is useful in approximately describing the position vectors of three spherically symmetric masses, one of which has a much smaller mass than the other two. These masses perform free motion under each others gravitational influence. The set of solutions is found using the lamberts wave function.

Keywords

Cite

@article{arxiv.math-ph/0402016,
  title  = {Closed Form Approximation Solutions for the Restricted Circular Three Body Problem},
  author = {Abu Bakr Mehmood and S. Umer Abbas and Ghulam Shabbir},
  journal= {arXiv preprint arXiv:math-ph/0402016},
  year   = {2007}
}

Comments

18 pages, 4 figures