Final tidal evolution of orbit-orbit resonances

Astronomy and Astrophysics – Astronomy

Scientific paper

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Natural Satellites, Orbital Lifetime, Orbital Mechanics, Orbital Resonances (Celestial Mechanics), Satellite Orbits, Tides, Astronomical Models, Asymptotic Properties, Earth-Moon System, Hamiltonian Functions, Mimas, Tethys

Scientific paper

In this paper we describe a model for the tidal evolution of an orbit-orbit resonance between two satellites of the same planet. We let the system evolve till infinity or until the resonance is destroyed. We find that there are asymptotic values for the eccentricities and inclinations. We list the possible final stages that a resonance can achieve, we give a few examples, and finally we discuss the limitations of the model and its possible applications to real systems.

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