Existence of Quasi-Periodic Solutions to the Three-Body Problem

Details Existence of Quasi-Periodic Solutions to the Three-Body Problem Existence of Quasi-Periodic Solutions to the Three-Body Problem

Jul 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971cemec...3..408l&link_type=abstract

Celestial Mechanics, Volume 3, Issue 4, pp.408-426

Physics

4

Scientific paper

A rigorous proof is given for the existence of quasi-periodic solutions with only two degrees of freedom to a planar three-body problem. The solution corresponds physically to the small bodies moving on different, nearly elliptical orbits about a large mass located at a focus. The perihelia of the two orbits are locked in such a way that the difference of the two perihelia has mean value zero.

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