Orbital geometry of Jupiter's satellites

Details Orbital geometry of Jupiter's satellites Orbital geometry of Jupiter's satellites

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988primm..52..508k&link_type=abstract

Prikladnaia Matematika i Mekhanika (ISSN 0032-8235), vol. 52, May-June 1988, p. 508-510. In Russian.

Physics

Jupiter Satellites, Orbit Perturbation, Orbital Elements, Planetary Orbits, Amalthea, Ganymede, Hill Method, Zonal Harmonics

Scientific paper

The geometrical and differential-geometrical qualitative orbital characteristics of Jupiter's satellites are investigated up to the fourth zonal harmonic. The regions of the possible motion of Jupiter's satellites are determined, and perturbations of the radius vector of the boundary Hill curve due to the flattening of Jupiter are plotted. The Hill curves are oval, and some of the curves intersect, indicating the possibility of collisions between the satellites. A qualitative analysis shows that, as the trajectory height increases and the eccentricity and inclination of the orbit decrease, the Hill curves are contracted and become nearly circular.

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