On the Presumed Capture Origin of Jupiter's Outer Satellites
Abstract
The problem of the origin of Jupiter's outer satellites is treated within the framework of the theory of capture through collinear libration points. Lower bounds for the satellites' semimajor axes are found from a corrected rederivation of Bailey's capture theory. Upper bounds are found from a new derivation of the stability limit for satellites, based on Floquet stability theory. It is shown that if the bodies had nearzero relative velocity when passing the libration point, direct orbits would lie outside retrograde orbits, which is not the case for Jupiter. It is found that the dimensions and distributions of the direct group are well explained by librationpoint capture with Jupiter's mass = 1/1730 solar mass, which is interpreted as indicating capture soon after Jupiter's formation. But ad hoc assumptions are required for this capture model to explain the retrograde group. It is concluded that the direct and retrograde groups may have had different mechanisms of origin.
 Publication:

Icarus
 Pub Date:
 February 1975
 DOI:
 10.1016/00191035(75)900949
 Bibcode:
 1975Icar...24..172H
 Keywords:

 Astronomical Models;
 Gravitational Effects;
 Jupiter (Planet);
 Natural Satellites;
 Orbital Elements;
 Differential Equations;
 Equations Of Motion;
 Extremum Values;
 Libration;
 Three Body Problem;
 Astronomy