Libration motion of Trojan asteroids taking into account their orbital inclinations

Astronomy and Astrophysics – Astronomy

Scientific paper

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Asteroids, Celestial Mechanics, Librational Motion, Solar Orbits, Trojan Orbits, Astronomical Catalogs, Canonical Forms, Gravitational Effects, Many Body Problem, Three Body Problem

Scientific paper

An intermediate orbit for 1/1 resonance in the circular restricted three body problem is suggested taking into account the orbital inclinations. The intermediate orbit is used to determine the libration orbits of 38 numbered minor planets of Trojan group in the cases of zero and non-zero inclinations. A satisfactory agreement of the results obtained for Trojan Stentor (2146) with those by Bein is obtained.

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