ncku-talk2014-12-11

NCTS(South)/ NCKU Math Colloquium

DATE 2014-12-11　15:10-16:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER 余國巍先生（多倫多大學博士後研究員）

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ABSTRACT In an unpublished paper by Richard Montgomery, the author claimed to prove the existence of Figure 8 solutions of the Newtonian three body problem with two equal masses ( The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.

NCTS(South)/ NCKU Math Colloquium

DATE	2014-12-11　15:10-16:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	余國巍先生（多倫多大學博士後研究員）

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ABSTRACT	In an unpublished paper by Richard Montgomery, the author claimed to prove the existence of Figure 8 solutions of the Newtonian three body problem with two equal masses ( The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.