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Exoplanets apsidal precession and analysis on their eccentricities

Abstract

In this paper, we analyze a set of 34 exoplanets with different eccentricities. Starting from the Weyl cylindric metric, we calculate the geodesic equations and propose a model with only one parameter that depends on eccentricity. We study each case and confront them to obtain a reliable control on the \(\beta _{0}\) parameter provided by the model obtaining in some cases a numerical refinement in the expected values as compared to the parameterized post-newtonian approximation. Conversely, we find that the model increases precision for apsidal precession of objects with eccentricities larger than 0.1 up to 0.8. In addition, we verify that the model is sensitive to the variation of the semimajor axis and orbital periods.

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Acknowledgements

Abraão J. S. Capistrano thanks Federal University of Latin-American Integration for the financial support from Edital PRPPG \(n^{o}\) 110 (17/09/2018) and Fundação Araucária/PR for the Grant CP15/2017-P&D. Paola T.Z. Seidel thanks the Coordination for the Improvement of Higher education Personnel Brazilian agency (CAPES) and the Fundação Araucária/PR for the scholarship grant Capes/FA (Chamada Pública 19/2015).

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Correspondence to A. J. S. Capistrano.

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Capistrano, A.J.S., Seidel, P.T.Z. & Neves, V. Exoplanets apsidal precession and analysis on their eccentricities. Astrophys Space Sci 364, 47 (2019). https://doi.org/10.1007/s10509-019-3516-1

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  • DOI: https://doi.org/10.1007/s10509-019-3516-1

Keywords

  • Gravity
  • Exoplanets