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The Precession of Test Orbits in the Circumbinary Exoplanet Systems

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Abstract

The new analytical R-toroid method is applied to study the apsidal and nodal precession of test orbits in the circumbinary exo-systems Kepler-16, Kepler-35, Kepler-38, Kepler-413, Kepler-453, Kepler-1661, Kepler-1647, and TOI-1338. For each system from the sample, we (1) created superposition of three R‑toroids, (2) estimated angular momenta of the stellar pair and planet relative to the Laplace plane, (3) found coefficients of the second and fourth zonal harmonics, and (4) deduced and solved equations for the frequencies of both types of the precession at test orbits. In the R-toroid gravitational field, a ratio of the apsidal and nodal precession periods at the zero inclination Gaussian ring was found to equal (–2). Research methods for the circumbinary system known from the literature proved to be the subcases of the approach developed herewith; out method additionally considers the eccentricities and orbital inclinations of the bodies to the Laplace plane, as well as the gravitational perturbation from the third body (the planet).

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ACKNOWLEDGMENTS

We thank Interdisciplinary Scientific and Educational School of Moscow State University “Fundamental and Applied Space Research”.

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Authors and Affiliations

  1. Department of Physics, Moscow State University, Sternberg State Astronomical Institute, 119992, Moscow, Russia

    B. P. Kondratyev & V. S. Kornoukhov

  2. Central (Pulkovo) Astronomical Observatory of the Russian Academy of Sciences, 196140, St. Petersburg, Russia

    B. P. Kondratyev

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  1. B. P. Kondratyev
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  2. V. S. Kornoukhov
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Correspondence to B. P. Kondratyev.

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Translated by E. Kuznetsova

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Kondratyev, B.P., Kornoukhov, V.S. The Precession of Test Orbits in the Circumbinary Exoplanet Systems. Astron. Rep. 66, 1063–1073 (2022). https://doi.org/10.1134/S1063772922110105

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  • DOI: https://doi.org/10.1134/S1063772922110105

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