| DATE: |
2007-11-13 16:00 - 15:00 |
| PLACE: |
Kenkyu Honkan 2F RM 220 |
| TITLE: |
Choreographic Solutions and Gravitation |
| CONTACT: |
tsuda |
| SPEAKER: |
Prof. Hideki Asada (Hirosaki University) |
| LANGUAGE: |
English |
| ABSTRACT: |
We reexamine ``choreographic solutions'' in the framework of general relativity. The Newtonian N-body problem admits choreographic solutions, where a solution is called choreographic if every massive particles move periodically in a single closed orbit. One is a figure-eight orbit for a three-body system, which was found first by Moore (1993) and re-discovered with its existence proof by Chenciner and Montgomery (2000). We discuss the following issues: Are N-body gravitating systems capable of generating periodic gravitational waves? Do general relativistic effects admit choreography such as figure-8? (Refs: Imai, Chiba, HA, PRL, 98, 201102 (2007) gr-qc/0702076. Chiba, Imai, HA, MNRAS, 377, 269 (2007) astro-ph/0609773.) |
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