Astronomisches Rechen-Institut Heidelberg

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ARI-Heidelberg Mitteilungen Serie A, No. 163

Author(s): Bien, R., Schubart, J.
Title: Trojan Orbits in Secular Resonances
Source: Celest. Mech. 34, 425-434
Year: 1984
Abstract: 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. We investigate the perturbations in the asteroidal inclinations and the nodes and consider the possibility of a libration.
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