# 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.