BN6  PostNewtonian and Analytic Approximations 
Speaker 
Yamada, Kei 
Coauthors 
Tsuchiya, Takuya; Asada, Hideki 
Talk Title 
PostNewtonian effects on the stability of the triangular solution in the threebody problem for general masses 
Abstract 
We examine the postNewtonian (PN) effects on the stability of a triangular solution in the relativistic threebody problem for general masses. For three finite masses, a condition for stability of the triangular solution is obtained at the first postNewtonian (1PN) order, and it recovers previous results for the PN restricted threebody 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 threebody 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 

