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arXiv · 1606.05263

Anomalous precession of planets on a Weyl conformastatic solution

Abraão J. S. Capistrano·Joice A. M. Penagos·Manuel S. Alárcon
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Abstract

In this paper, we investigate the anomalous planets precession in the nearly-newtonian gravitational regime. This limit is obtained from the application of the slow motion condition to the geodesic equations without altering the geodesic deviation equations. Using a non-standard expression for the perihelion advance from the Weyl conformastatic vacuum solution as a model, we can describe the anomaly in planets precession compared with different observational data from Ephemerides of the Planets and the Moon (EPM2008 and EPM2011) and Planetary and Lunar Ephemeris (INPOP10a). As a result, using the Levenberg-Marquardt algorithm and calculating the related Chi-squared statistic, we find that the anomaly is statistical irrelevant in accordance with INPOP10a observations. As a complement to this work, we also do an application to the relativistic precession of giant planets using observational data calibrated with the EPM2011.

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Abraão J. S. Capistrano, Joice A. M. Penagos, Manuel S. Alárcon. 2016-08-03. Anomalous precession of planets on a Weyl conformastatic solution. https://doi.org/10.1093/mnras%2Fstw1958

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