Long-term dynamics of Methone, Anthe and Pallene

Details Long-term dynamics of Methone, Anthe and Pallene Long-term dynamics of Methone, Anthe and Pallene

2009-10-14

arxiv.org/abs/0910.2726v1

Astronomy and Astrophysics

Astrophysics

Earth and Planetary Astrophysics

9 pages; 4 figures. Submitted to Proceedings IAU Symposium No. S263, 2009

Scientific paper

We numerically investigate the long-term dynamics of the Saturn's small satellites Methone (S/2004 S1), Anthe (S/2007 S4) and Pallene (S/2004 S2). In our numerical integrations, these satellites are disturbed by non-spherical shape of Saturn and the six nearest regular satellites. The stability of the small bodies is studied here by analyzing long-term evolution of their orbital elements. We show that long-term evolution of Pallene is dictated by a quasi secular resonance involving the ascending nodes ($\Omega$) and longitudes of pericentric distances ($\varpi$) of Mimas (subscript 1) and Pallene (subscript 2), which critical argument is $\varpi_2-\varpi_1-\Omega_1+\Omega_2$. Long-term orbital evolution of Methone and Anthe are probably chaotic since: i) their orbits randomly cross the orbit of Mimas in time scales of thousands years); ii) numerical simulations involving both small satellites are strongly affected by small changes in the initial conditions.

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