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This article is cited in 2 scientific papers (total in 2 papers)
Alexey Borisov Memorial Volume
The Role of Tidal Forces in the Long-term Evolution
of the Galilean System
Alessandra Cellettia, Efsevia Karampotsioub, Christoph Lhotkaa, Giuseppe Pucaccoc, Mara Volpia a Department of Mathematics, University of Rome Tor Vergata,
Via della Ricerca Scientifica 1, 00133 Roma, Italy
b Department of Physics, Aristotle University of Thessaloniki,
54124 Thessaloniki, Greece
c Department of Physics, University of Rome Tor Vergata,
Via della Ricerca Scientifica 1, 00133 Roma, Italy
Abstract:
The Galilean satellites of Jupiter are called Io, Europa, Ganymede and Callisto.
The first three moons are found in the so-called Laplace resonance, which means that their
orbits are locked in a 2 : 1 resonant chain. Dissipative tidal effects play a fundamental role,
especially when considered on long timescales. The main objective of this work is the study
of the persistence of the resonance along the evolution of the system when considering the
tidal interaction between Jupiter and Io. To constrain the computational cost of the task, we
enhance this dissipative effect by means of a multiplying factor. We develop a simplified model
to study the propagation of the tidal effects from Io to the other moons, resulting in the outward
migration of the satellites. We provide an analytical description of the phenomenon, as well as
the behaviour of the semi-major axis of Io as a function of the figure of merit. We also consider
the interaction of the inner trio with Callisto, using a more elaborated Hamiltonian model
allowing us to study the long-term evolution of the system along few gigayears. We conclude
by studying the possibility of the trapping into resonance of Callisto depending on its initial
conditions.
Keywords:
Laplace resonance, tidal dissipation, libration, normal form.
Received: 08.01.2022 Accepted: 08.04.2022
Citation:
Alessandra Celletti, Efsevia Karampotsiou, Christoph Lhotka, Giuseppe Pucacco, Mara Volpi, “The Role of Tidal Forces in the Long-term Evolution
of the Galilean System”, Regul. Chaotic Dyn., 27:4 (2022), 381–408
Linking options:
https://www.mathnet.ru/eng/rcd1171 https://www.mathnet.ru/eng/rcd/v27/i4/p381
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Abstract page: | 76 | References: | 31 |
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