Stability of periodic resonance-orbits in the elliptic restricted 3-body problem.

Details Stability of periodic resonance-orbits in the elliptic restricted 3-body problem. Stability of periodic resonance-orbits in the elliptic restricted 3-body problem.

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..43..391k&link_type=abstract

Celestial Mechanics, Volume 43, Issue 1-4, pp. 391-398

Physics

Periodic Orbits:Three-Body Problem, Resonances:Three-Body Problem, Three-Body Problem:Periodic Orbits, Three-Body Problem:Resonances, Three-Body Problem:Restricted, Three-Body Problem:Stability

Scientific paper

Results of families of periodic orbits in the elliptic restricted problem are shown. They are calculated for the mass ratios μ = 0.5 and μ = 0.1 for the primary bodies and for different values of the eccentricity of the orbit of the primaries which is the second parameter. The case μ = 0.5 is also a good model for planetary orbits in binaries. Finally the authors show detailed stability diagrams and give results according to the stability classification of Contopoulos.

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