Tidal evolution of close-in exoplanets in co-orbital configurations
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In this paper, we study the behavior of a pair of co-orbital planets, both orbiting a central star on the same plane and undergoing tidal interactions. Our goal is to investigate final orbital configurations of the planets, initially involved in the 1/1 mean-motion resonance (MMR), after long-lasting tidal evolution. The study is done in the form of purely numerical simulations of the exact equations of motions accounting for gravitational and tidal forces. The results obtained show that, at least for equal mass planets, the combined effects of the resonant and tidal interactions provoke the orbital instability of the system, often resulting in collision between the planets. We first discuss the case of two hot-super-Earth planets, whose orbital dynamics can be easily understood in the frame of our semi-analytical model of the 1/1 MMR. Systems consisting of two hot-Saturn planets are also briefly discussed.
KeywordsHot Saturns Hot super Earths Two-planet systems Planetary systems disruption Tides Exo-Trojans
The authors thank M. Efroimsky for comments and suggestions. A.R and T.A.M acknowledge the support of this project by FAPESP (2009/16900-5) and CNPq (Brazil). C.A.G acknowledges the support by the Argentinian Research Council, CONICET. This work has made use of the computing facilities of the Laboratory of Astroinformatics (IAG/USP, NAT/Unicsul), whose purchase was made possible by the Brazilian agency FAPESP (Grant 2009/54006-4) and the INCT-A. Some of the computations were performed on the Blafis cluster at the Aveiro University. We also acknowledge the two anonymous reviewers for their valuable comments and suggestions.
- Beutler, G.: Methods of Celestial Mechanics, vol. 1. Springer, Berlin (2005)Google Scholar
- Callegari, Jr., N., Rodríguez, A.: Dynamics of rotation of super-Earths. Celest. Mech. Dyn. Astron. 116 (2013) doi: 10.1007/s10569-013-9496-5
- Darwin, G.H.: On the secular change in the elements of the orbit of a satellite revolving about a tidally distorted planet. Philos. Trans. 171, 713–891 (repr. Scientific Papers, Cambridge, Vol. II, 1908) (1880)Google Scholar
- Ferraz-Mello, S., Rodríguez, A., Hussmann, H.: Tidal friction in close-in satellites and exoplanets: the Darwin theory re-visited. Celest. Mech. Dyn. Astron. 101, 171–201 (2008). Erratum: 104, 319–320 (2009)Google Scholar
- Hadjidemetriou, J.D., Voyatzis, G.: The 1/1 resonance in extrasolar systems. Celest. Mech. Dyn. Astron. 111, 179–199 (2011)Google Scholar
- Hadjidemetriou, J.D., Psychoyos, D., Voyatzis, G.: The 1/1 resonance in extrasolar planetary systems. Celest. Mech. Dyn. Astron. 104(1–2), 23–38 (2009)Google Scholar
- Robutel, P., Pousse, A.: On the co-orbital motion of two planets in quasi-circular orbits. Celest. Mech. Dyn. Astron. 117 (2013). doi: 10.1007/s10569-013-9487-6