Spin contribution to the perihelion precession in binary systems like OJ287: higher order corrections

Abstract

Higher order corrections are obtained for the perihelion precession in binary systems like OJ287, Sagittarius A*-S2 and H1821+643 using both the Schwarzschild metric and the Kerr metric to take into account the spin effect. The corrections are performed considering the third root of the motion equation and developing the expansion in terms of $\epsilon \equiv r_s/\left(a(1-e^2)\right)$ and ${\epsilon }^{\ast }\equiv \left(1-\frac{2\alpha E^{\prime }}{cJ}\right)\epsilon$.The results are compared with those obtained in a previous paper.

arXiv comment20 pages, 1 figure. arXiv admin note: text overlap with arXiv:1802.03333

References in corpus (7)

• Primary black hole spin in OJ287 as determined by the General Relativity centenary flare
• Authenticating the Presence of a Relativistic Massive Black Hole Binary in OJ 287 Using its General Relativity Centenary Flare: Improved Orbital Parameters
• Schwarzschild geodesics in terms of elliptic functions and the related red shift
• Alternative derivation of the relativistic contribution to perihelic precession
• Analytical computation of the Mercury perihelion precession via the relativistic gravitational law and comparison with general relativity
• Higher-order corrections to the relativistic perihelion advance and the mass of binary pulsars
• Constraints on fourth order gravity from binary pulsar and gravitational waves

Cited by in corpus (1)

• The influence of spin in black hole triplets