riassunto2

BN6 - Post-Newtonian and Analytic Approximations

Speaker

Yamada, Kei

Coauthors

Tsuchiya, Takuya; Asada, Hideki

Talk Title

Post-Newtonian effects on the stability of the triangular solution in the three-body problem for general masses

Abstract

We examine the post-Newtonian (PN) effects on the stability of a triangular solution in the relativistic three-body problem for general masses. For three finite masses, a condition for stability of the triangular solution is obtained at the first post-Newtonian (1PN) order, and it recovers previous results for the PN restricted three-body problem when one mass goes to zero. The stability regions still exist even at the 1PN order, though the PN triangular configuration for general masses is less stable than the PN restricted three-body case as well as the Newtonian one. Reference: [1] T. Ichita, K. Yamada, and H. Asada, Phys. Rev. D 83, 084026 (2011). [2] K. Yamada and H. Asada, Phys. Rev. D 86, 124029 (2012). [3] K. Yamada, T. Tsuchiya, and H. Asada, Phys. Rev. D 91, 124016 (2015).

Talk view

BN6-712YA354EI.pdf

 

Back to previous page