On The Stability of Hypothetical Satellites Coorbital to Mimas or Enceladus

Astronomy and Astrophysics – Astronomy

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Scientific paper

In the present work we study the stability of hypothetical satellites coorbital with Enceladus and Mimas. We performed numerical simulations of 50 particles around the triangular Lagrangian equilibrium points of Enceladus and Mimas. taking into account the perturbation of Mimas, Enceladus, Tethys, Dione, Titan and the oblateness of Saturn. All particles remain on tadpole orbits after 10,000 years of integration. Since in the past the orbit of Enceladus and Mimas expanded due to the tidal perturbation, we also simulated the system with Enceladus and Mimas at several different values of semi-major axes. The results show that in general the particles remain on tadpole orbits. The exceptions occur when Enceladus is at semi-major axes that correspond to 6:7, 5:6 and 4:5 resonances with Mimas. Therefore, if Enceladus and Mimas had satellites librating around their Lagrangian triangular points in the past, they would have been removed if Enceladus crossed one of these first order resonances with Mimas.
This work was supported by Fapesp, CNPq, Capes and Fundunesp.

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