Talk detail

MG13 - Talk detail

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 Participant

Yamada, Kei

Institution

Hirosaki University  - Bunkyou - Hirosaki - Aomori - Japan

Session

AN1

Accepted

Yes

Order

4

Time

15:15 - 15:40

Talk

Oral abstract

Title

Triangular solution to the general relativistic three-body problem
Co-authors Hideki Asada

Abstract

We reexamine the post-Newtonian effects on Lagrange's equilateral triangular solution for three-body problem. For three finite masses, it is found that a general triangular configuration satisfies the post-Newtonian equation of motion in general relativity, if and only if it has the relativistic corrections to each side length. We mention also about a collinear solution to the general relativistic three-body problem. reference:[1] K. Yamada & H. Asada, PRD 82, 104019 (2010) [2] K. Yamada & H. Asada, PRD 83, 024040 (2011) [3] T. Ichita, K. Yamada, & H. Asada, PRD 83, 084026 (2011)

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