Long-period effects in the motion of eighteen Trojan asteroids and the investigation of special problems of the 1/1 resonance

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Asteroids, Jupiter (Planet), Long Term Effects, Resonance, Three Body Problem, Trojan Orbits, Celestial Mechanics, Dynamic Stability, Eccentricity, Orbital Elements, Perihelions, Jupiter, Asteroids, Motion, Trojan Asteroids, Resonance, Models, Three-Body Problem, Eccentricity, Perihelion, Classification, Data, Orbits, Inclination, Libration Points, Satellites, Catalog

Scientific paper

An investigation of the 1/1 resonance with Jupiter, which is a continuation of a previous study by the present author, is presented. The calculations are based on the planar elliptic problem Sun-Jupiter-asteroid, where the short-period effects are eliminated by Schubart's averaging procedure. The dynamical behaviour of eighteen real Trojan asteroids with small orbital inclination is discussed. Additionally, special problems are studied, such as the relationship between the eccentricity and the motion of the perihelion for real and fictitious objects, and stability properties of the 1/1 resonance.

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