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.
A.C., C. L. and G. P. acknowledge EU-ITN Stardust-R. A.C. (partially) and C. L. acknowledge
the MIUR Excellence Department Project awarded to the Department of Mathematics, University
of Rome Tor Vergata, CUP E83C18000100006. A.C. (partially), C. L. and G. P. acknowledge MIURPRIN
20178CJA2B “New Frontiers of Celestial Mechanics: Theory and Applications”, ASI Contract
no. 2018-25-HH.0 (Scientific Activities for JUICE, C/D phase). C. L., G.P. and M. V. acknowledge
the GNFM/INdAM. E.K. and M.V. acknowledge the ASI Contract no. 2018-25-HH.0 (Scientific
Activities for JUICE, C/D phase). The research of E.K. was mainly done during her stay at the
Dept. of Mathematics, University of Rome Tor Vergata during the years 2019-2021. G. P. is partially
supported by INFN (Sezione di Roma II).
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
\Bibitem{CelKarLho22}
\by Alessandra Celletti, Efsevia Karampotsiou, Christoph Lhotka, Giuseppe Pucacco, Mara Volpi
\paper The Role of Tidal Forces in the Long-term Evolution
of the Galilean System
\jour Regul. Chaotic Dyn.
\yr 2022
\vol 27
\issue 4
\pages 381--408
\mathnet{http://mi.mathnet.ru/rcd1171}
\crossref{https://doi.org/10.1134/S1560354722040013}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4462429}
Linking options:
https://www.mathnet.ru/eng/rcd1171
https://www.mathnet.ru/eng/rcd/v27/i4/p381
This publication is cited in the following 2 articles:
Giacomo Lari, Melaine Saillenfest, “The nature of the Laplace resonance between the Galilean moons”, Celest Mech Dyn Astron, 136:3 (2024)
Giacomo Lari, Melaine Saillenfest, Clara Grassi, “Dynamical history of the Galilean satellites for a fast migration of Callisto”, Monthly Notices of the Royal Astronomical Society, 518:2 (2022), 3023
Citation in format AMSBIB
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