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Spin contributions to the alternate correction to the perihelion precession of binary systems such as OJ287

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Abstract

Spin contributions to the correction of the perihelion precession of binary systems, as a follow up to our previous paper, are obtained for systems such as the OJ287 system, which has a large discrepancy not satisfied by the Schwarzschild metric. In a previous paper, they use the Kerr metric to work out the spin contributions in addition to their previous formulation to make up for this discrepancy. In our method we use the de Sitter and Lense-Thirring precession, along with our alternate correction to the perihelion precession in our previous paper, for the inclusion of spin contributions for binary systems. With the addition of spin contributions, we obtain a theoretical value of 40.3 degrees for the total perihelion precession angle correction of the OJ287 system, very close to the observed value of 39.1 ± 0.1. We also obtain values for two other systems, such as the Sagittarius A*-S2, which also has a slight discrepancy, to test for consistency. We find that our methods are in close agreement with observed value of these binary systems.

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Martinez, D. Spin contributions to the alternate correction to the perihelion precession of binary systems such as OJ287. Astrophys Space Sci 368, 45 (2023). https://doi.org/10.1007/s10509-023-04204-3

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