Trojan orbits in secular resonances

Details Trojan orbits in secular resonances Trojan orbits in secular resonances

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..34..425b&link_type=abstract

(Bundesministerium für Wissenschaft und Forschung of Austria, Alexander von Humboldt Colloquium on Celestial Mechanics: The Stab

Physics

16

Jupiter (Planet), Orbit Perturbation, Orbital Resonances (Celestial Mechanics), Resonance, Secular Variations, Trojan Orbits, Asteroids, Elliptical Orbits, Librational Motion, Nodes (Standing Waves), Orbital Elements, Orbital Mechanics, Solar Orbits, Three Body Problem

Scientific paper

A near equality between the nodal rates of suitably defined Trojan orbits and Jupiter represents an important type of a secular resonance. This case is realized by the model Sun-Jupiter-Saturn-Trojan, referred to the invariable plane. A second theoretical example is based on the elliptic three-body problem Sun-Jupiter-Trojan, where the vanishing nodal rate of a special Trojan orbit and the vanishing rate of Jupiter's longitude of perihelion define a secular resonance. The authors investigate the perturbations in the asteroidal inclinations and the nodes and consider the possibility of a libration.

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