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The four Gallilean moons of Jupiter (from innermost) are Io, Europa, Ganymede, and Callisto. Io, Europa, and Ganymede are in a 1:2:4 orbital resonance. Callisto's orbital period is 16.689 days, which is not much more than twice Ganymede's period of 7.1546 days.

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If Jupiter's orbit around the Sun was stable, when could we expect Callisto to come into a 1:2:4:8 orbital resonance with the Jupiter's other Gallilean moons?

Related: Does anyone know why three of Jupiter's largest moons orbit in 1:2:4 resonance?

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  • $\begingroup$ Maybe a duplicate of the one you suggested? But that answer only gives a vague idea of when that happens. $\endgroup$ Jan 3, 2021 at 14:45

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we tried to answer to this question in this article: https://arxiv.org/abs/2001.01106

According to the current estimation of the tidal dissipation in the Jovian system, we expect that Callisto will be captured into resonance in about 1.5 billions of years, forming 1:2:4:8 resonant chain with the other Galilean moons.

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