Motion of two planets with periods commensurable in the ratio 2:1 solutions of the Hori auxiliary system

Details Motion of two planets with periods commensurable in the ratio 2:1 solutions of the Hori auxiliary system Motion of two planets with periods commensurable in the ratio 2:1 solutions of the Hori auxiliary system

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..32..307s&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 32, April 1984, p. 307-332. Research supported by the Financiadora de Estudos e Proje

Computer Science

34

Celestial Mechanics, Planetology, Solar Orbits, Equations Of Motion, Hamiltonian Functions, Polynomials, Resonance, Trajectory Analysis

Scientific paper

Using Hori's (1966) perturbation method in the case of the motion of two sun-orbiting planets whose periods are in the ratio of 2:1, where eccentricities and inclinations are small, it is established that a completely integrable Hori auxiliary system, and therefore a new intermediate orbit, results. This intermediate orbit includes resonant effects, and is therefore preferable to a pair of Keplerian orbits as a first approximation in this problem.

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