Benedetto Scoppola, Alessio Troiani, Matteo Veglianti, “Tides and Dumbbell Dynamics”, Regul. Chaotic Dyn., 2022, Volume 27, Issue 3,Pages <nobr>369

This article is cited in 1 paper

Alexey Borisov Memorial Volume

Tides and Dumbbell Dynamics

Benedetto Scoppola^a, Alessio Troiani^b, Matteo Veglianti^c

^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

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.

MSC: 70F05, 70F15

Received: 12.07.2021
Accepted: 08.03.2022

Language: English

DOI: 10.1134/S1560354722030078