Research Seminar by Prof. Masayoshi Sekiguchi (Kisarazu College, NIT, Japan)

School of Mathematical Sciences will organize a research talk as follows:

Speaker Prof. Masayoshi Sekiguchi (Kisarazu College, NIT, Japan)
Title Double Choreography with Collision to 2N Body Problem
Data Friday, 3 March 2017
Time 11:00 a.m. – 12.00 noon
Venue Conference Room, School of Mathematical Sciences

Title: Double Choreography with Collision to 2N Body Problem

Abstract:

The existence of a double choreography with collisions to 2N Body Problem is shown. I will show an overview of a proof of the existence theorem after giving a brief introduction to N Body Problem with some related topics and a class of periodic solutions: choreography.

Keywords:

- N Body Problem describes the motion of N bodies under the Newtonian law of gravity.
- Choreography is a class of periodic solutions in which N equal masses chase each other along a single closed curve with a common time delay.
- Multiple Choreography is a kind of choreography, but the number of curves is not one. A double choreography to 2N Body Problem has two closed curves which are occupied with N masses for each.

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