Mean-motion and secular resonances in the triple asteroidal system 87 Sylvia

Details Mean-motion and secular resonances in the triple asteroidal system 87 Sylvia Mean-motion and secular resonances in the triple asteroidal system 87 Sylvia

Oct 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011epsc.conf..731f&link_type=abstract

EPSC-DPS Joint Meeting 2011, held 2-7 October 2011 in Nantes, France. http://meetings.copernicus.org/epsc-dps2011, p.731

Computer Science

Scientific paper

The triple system 87 Sylvia consisting of two small satellites (Romulus and Remus) orbiting around an asteroid in nearly circular orbits is studied. We model it using a four-body system Sylvia-Romulus-Remus- Sun with a spherical harmonics expansion up to the 4th degree and order for the gravitational potential of Sylvia. We integrate the equations of motion in two ways in order to study short and long periods; a complete one with an imposed fixed rotation rate for Sylvia on its principal moment on inertia, and an averaged one over the mean longitudes. We find that the semi-major axis of the satellites are bounded by meanmotion resonances (between the mean longitudes of the satellites) and by evection resonances (between the longitude of pericenter of Romulus and the longitude of the Sun).

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