Abstract
The term “jumping” Trojan was introduced by Tsiganis et al. (Astron Astrophys 354:1091–1100, 2000) in their studies of long-term dynamics exhibited by the asteroid (1868) Thersites, which had been observed to jump from librations around \(L_4\) to librations around \(L_5\). Another example of a “jumping” Trojan was found by Connors et al. (Nature 475:481–483, 2011): librations of the asteroid 2010 TK7 around the Earth’s libration point \(L_4\) preceded by its librations around \(L_5\). We explore the dynamics of “jumping” Trojans under the scope of the restricted planar elliptical three-body problem. Via double numerical averaging we construct evolutionary equations, which allow analyzing transitions between different regimes of orbital motion.
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Acknowledgements
The work was supported by the Presidium of the Russian Academy of Sciences (Program 7 “Experimental and theoretical studies of the objects in the Solar system and exoplanetary systems”). We are grateful to S.S. Efimov, B. Erdi, A.I. Neishtadt, and D.A. Pritykin for reading the manuscript and useful discussions. We also thank anonymous referees for all their corrections and suggestions.
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This article is part of the topical collection on Recent advances in the study of the dynamics of N-body problem.
Guest Editors: Giovanni Federico Gronchi, Ugo Locatelli, Giuseppe Pucacco and Alessandra Celletti.
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Sidorenko, V.V. Dynamics of “jumping” Trojans: a perturbative treatment. Celest Mech Dyn Astr 130, 67 (2018). https://doi.org/10.1007/s10569-018-9860-6
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DOI: https://doi.org/10.1007/s10569-018-9860-6