Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975aiaa.confz....h&link_type=abstract
American Astronautical Society and American Institute of Aeronautics and Astronautics, Astrodynamics Specialist Conference, Nass
Astronomy and Astrophysics
Astronomy
Jupiter Probes, Many Body Problem, Motion Stability, Natural Satellites, Satellite Orbits, Spacecraft Motion, Circular Orbits, Coplanarity, Disturbing Functions, Eccentricity, Gravitational Effects, Mission Planning, Orbital Mechanics, Planetary Orbits
Scientific paper
We consider a restricted six-body problem. The Galilean satellites' orbits are circular and coplanar; Io, Europa, and Ganymede are in exact resonance; their mean longitudes obey the Laplace relation. We seek periodic orbits which avoid close approaches to any satellite; such orbits are of interest for mission planning. They are approximated as fixed points of sets of variational equations associated with time-averaged disturbing functions. Stability of the solutions is also determined. The orbits of greatest interest are: planar - twice Callisto's period, eccentricity less than or equal to 0.6; planar - four times Callisto's period, eccentricity less than or equal to 0.75; slightly inclined - twice Callisto's period, eccentricity arbitrary; and planar - 4/5 or 5/4 Europa's period.
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