Relativistic periastron shift of a particle in Kerr field: A particular case-study

摘要

This letter presents a calculation of periastron shift in an astrophysical binary in which a non-spinning body moves in a slightly deformed circle round a slowly spinning central body. The equation of motion followed tin the calculation was derived earlier by Faruque using relativistic effective one-body dynamics. The results show a clear dependence of periastron shift on magnitude as well as on direction of spin and orbital angular momentum of the central body and the orbiter, respectively, and this dependence is in accord with previous results found by a different procedure by other authors.