Other
Scientific paper
May 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..395r&link_type=abstract
Celestial Mechanics, vol. 21, May 1980, p. 395-434.
Other
11
Orbit Calculation, Orbital Resonances (Celestial Mechanics), Satellite Orbits, Solar System, Three Body Problem, Jupiter (Planet), Prediction Analysis Techniques, Resonance, Symmetry
Scientific paper
The mechanism by which vertical branches consisting of symmetric, three-dimensional periodic orbits bifurcate from families of plane orbits at vertical self-resonant orbits is discussed, with emphasis on the relationship between symmetry properties and multiplicity, and methods for the numerical determination of such branches are described. As examples, eight new families of all symmetry classes which branch vertically from the family f of retrograde satellite orbits in the Sun-Jupiter case of the restricted problem (mass parameter = 0.00095), are given in their entirety; these branches are found, as expected, to occur in pairs, each pair arising from the same self-resonant orbit, with their symmetry properties following the predicted pattern. The stability and other properties of the branch orbits are discussed.
Markellos V. V.
Robin I. A.
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