Abstract
General relativity provides a correction of the perihelion precession which provided the correct value for inertial masses like Mercury. But for binary systems with high eccentricities and large gravitational masses, such as the OJ287 system, there is a large discrepancy not satisfied by this general relativistic correction. The first order correction obtained from the Schwarzschild metric gives a theoretic value of 33.06 degrees, in contrast to the observed value of \(39.1 \pm 0.1\). In a previous paper, while adopting the perturbation method, they use the Schwarzschild metric and complex integration to obtain higher order expansion terms to make up for this discrepancy. We will be providing an alternate method of correction to the perihelion precession of binary systems, such as that of the OJ287 system, using an alternate formulation of the relativistic potential which provides us an extra term dependent of the radial velocity of the inertial mass. We also obtain values for two other systems, such as the Sagittarius A*-S2, which also has a significant discrepancy, to test for consistency.
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Martinez, D. Alternate method of correction to the perihelion precession of binary systems. Astrophys Space Sci 368, 36 (2023). https://doi.org/10.1007/s10509-023-04193-3
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DOI: https://doi.org/10.1007/s10509-023-04193-3