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Regular and Chaotic Dynamics, 2022, Volume 27, Issue 3, Pages 369–380
DOI: https://doi.org/10.1134/S1560354722030078 (Mi rcd1170) 		 
Alexey Borisov Memorial Volume

Tides and Dumbbell Dynamics

Benedetto Scoppolaa, Alessio Troianib, Matteo Vegliantic

a Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Roma, Italy
b Dipartimento di Matematica “Tullio Levi-Civita”, Università degli Studi di Padova, Via Trieste 63, 35131 Padova, Italy
c Dipartimento di Fisica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Roma, Italy
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DOI: https://doi.org/10.1134/S1560354722030078
Abstract: We discuss a model describing the effects of tidal dissipation on the satellite’s orbit in the two-body problem. Tidal bulges are described in terms of a dumbbell, coupled to the rotation by a dissipative interaction. The assumptions on this dissipative coupling turn out to be crucial in the evolution of the system.
Keywords: two-body problem, tidal dissipation, tides, dumbbell dynamics.
Funding agency Grant number
Ministero dell'Istruzione, dell'Università e della Ricerca CUP E83C18000100006
European Research Council 677793
This work has been supported by PRIN-CELMECH. BS acknowledges the support of the Italian MIUR Department of Excellence grant (CUP E83C18000100006). AT has been supported through the H2020 Project Stable and Chaotic Motions in the Planetary Problem (Grant 677793 StableChaoticPlanetM of the European Research Council).
Received: 12.07.2021
Accepted: 08.03.2022
Bibliographic databases:
Document Type: Article
MSC: 70F05, 70F15
Language: English
Citation: Benedetto Scoppola, Alessio Troiani, Matteo Veglianti, “Tides and Dumbbell Dynamics”, Regul. Chaotic Dyn., 27:3 (2022), 369–380
Citation in format AMSBIB
\Bibitem{ScoTroVeg22}
\by Benedetto Scoppola, Alessio Troiani, Matteo Veglianti
\paper Tides and Dumbbell Dynamics
\jour Regul. Chaotic Dyn.
\yr 2022
\vol 27
\issue 3
\pages 369--380
\mathnet{http://mi.mathnet.ru/rcd1170}
\crossref{https://doi.org/10.1134/S1560354722030078}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4434216}
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