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Tidal effects in resonant chains of close-in planets: TTV analysis of Kepler-80

Published online by Cambridge University Press:  16 October 2024

Carolina Charalambous*
Affiliation:
Instituto de Astrofésica, Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna 4860, 782-0436 Macul, Santiago, Chile. Millennium Institute for Astrophysics, Chile
Anne-Sophie Libert
Affiliation:
naXys, Department of Mathematics, University of Namur, 61 Rue de Bruxelles, 5000 Namur, Belgium
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Abstract

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Systems near mean-motion resonances (MMRs) are subject to large transit-timing variations (TTVs). The amplitude and period of the TTVs strongly depend on the distance to exact MMR and the planetary eccentricities which are shaped during the formation and long-term evolution of the system. For close-in planets, the tides raised by the star provide a source of dissipation, placing the planets further away from the MMR. In this work, we will discuss how the tidal interactions with the central star play an important role in shaping the period ratios and resonant angles in resonant chains. Moreover, we will show how they can impact the TTVs and therefore how the TTVs could serve as a means to put constraints on the tidal history of planetary systems. The study will focus on the four-planet resonant chain of Kepler-80.

Type
Contributed Paper
Creative Commons
Creative Common License - CCCreative Common License - BYCreative Common License - NCCreative Common License - ND
This is an Open Access article, distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives licence (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided that no alterations are made and the original article is properly cited. The written permission of Cambridge University Press must be obtained prior to any commercial use and/or adaptation of the article.
Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of International Astronomical Union

References

Agol, E., Steffen, J., Sari, R., & Clarkson, W. 2005, On detecting terrestrial planets with timing of giant planet transits. MNRAS, 359(2), 567579.CrossRefGoogle Scholar
Baruteau, C. & Papaloizou, J. C. B. 2013, Disk-Planets Interactions and the Diversity of Period Ratios in Kepler’s Multi-planetary Systems. ApJ, 778(1), 7.CrossRefGoogle Scholar
Charalambous, C., Mart, J. G., Beaugé, C., & Ramos, X. S. 2018, Resonance capture and dynamics of three-planet systems. MNRAS, 477(1), 14141425.CrossRefGoogle Scholar
Charalambous, C., Teyssandier, J., & Libert, A. S. 2023, Tidal interactions shape period ratios in planetary systems with three-body resonant chains. A&A, 677, A160.Google Scholar
Ferraz-Mello, S. 2013, Tidal synchronization of close-in satellites and exoplanets. A rheophysical approach. Celestial Mechanics and Dynamical Astronomy, 116(2), 109140.CrossRefGoogle Scholar
Goldreich, P. & Soter, S. 1966, Q in the Solar System. Icarus, 5(1), 375389.CrossRefGoogle Scholar
Holman, M. J. & Murray, N. W. 2005, The Use of Transit Timing to Detect Terrestrial-Mass Extrasolar Planets. Science, 307(5713), 12881291.CrossRefGoogle ScholarPubMed
Libert, A. S. & Renner, S. 2013, Detection of Laplace-resonant three-planet systems from transit timing variations. MNRAS, 430(2), 13691375.CrossRefGoogle Scholar
Lithwick, Y., Xie, J., & Wu, Y. 2012, Extracting Planet Mass and Eccentricity from TTV Data. ApJ, 761(2).Google Scholar
MacDonald, M. G., Ragozzine, D., Fabrycky, D. C., Ford, E. B., Holman, M. J., Isaacson, H. T., Lissauer, J. J., Lopez, E. D., Mazeh, T., Rogers, L., Rowe, J. F., Steffen, J. H., & Torres, G. 2016, A Dynamical Analysis of the Kepler-80 System of Five Transiting Planets. AJ, 152(4), 105.CrossRefGoogle Scholar
MacDonald, M. G., Shakespeare, C. J., & Ragozzine, D. 2021, A Five-Planet Resonant Chain: Reevaluation of the Kepler-80 System. AJ, 162(3), 114.CrossRefGoogle Scholar
Papaloizou, J. C. B. 2021, The orbital evolution of resonant chains of exoplanets incorporating circularisation produced by tidal interaction with the central star with application to the HD 158259 and EPIC 245950175 systems. Celestial Mechanics and Dynamical Astronomy, 133(6), 30.CrossRefGoogle Scholar
Rein, H. & Tamayo, D. 2015, WHFAST: a fast and unbiased implementation of a symplectic Wisdom-Holman integrator for long-term gravitational simulations. MNRAS, 452(1), 376388.CrossRefGoogle Scholar
Tamayo, D., Rein, H., Shi, P., & Hernandez, D. M. 2020, REBOUNDx: a library for adding conservative and dissipative forces to otherwise symplectic N-body integrations. MNRAS, 491(2), 28852901.CrossRefGoogle Scholar
Teyssandier, J. & Libert, A.-S. 2020, Transit timing variation signature of planet migration: the case of K2-24. A&A, 643, A11.Google Scholar
Teyssandier, J., Libert, A. S., & Agol, E. 2022, TRAPPIST-1: Dynamical analysis of the transit-timing variations and origin of the resonant chain. A&A, 658, A170.Google Scholar