NCTS(South)/ NCKU Math Colloquium

DATE2014-12-11 15:10-16:00



TITLE Figure 8 Solutions in Planar Three Body Problem with Two Equal Masses

ABSTRACT In an unpublished paper by Richard Montgomery, the author claimed to prove the existence of Figure 8 solutions of the Newtonian three body problem with two equal masses ( The solutions look like a figure 8 in the shape space. It is different from the famous figure 8 solution proved by Chenciner and Montgomery). However there is an error in the proof and the problem is still open. In this paper we show that if the gravity is a weak force, then the approach laid out by Montgomery can be carried out and such Figure 8 solutions do exist.