The role of tidal forces in the long-term evolution of the Galilean system

The Galilean satellites of Jupiter are called Io, Europa, Ganymede and Callisto. Thefirst three moons are found in the so-called Laplace resonance, which means that their orbitsare locked in a 2:1 resonant chain. Dissipative tidal effectsplay a fundamental role, especially when considered on longtimescales. The main objective of this work is the study of thepersistence of the resonance along the evolution of the systemwhen considering the tidal interaction between Jupiter and Io.To constrain the computational cost of the task, we enhancethis dissipative effect by means of a multiplying factor.We develop a simplified model to study the propagationof the tidal effects from Io to the other moons, resulting in theoutward migration of the satellites. We provide an analyticaldescription of the phenomenon, as well as the behaviour of the semi-major axis of Io asa function of the figure of merit.We also consider the interaction ofthe inner trio with Callisto, using a more elaborated Hamiltonian modelallowing us to study the long-term evolution of the system along fewgigayears. We conclude by studying the possibility of the trapping intoresonance of Callisto depending on its initial conditions.