Investigation of the long-periodic orbits of Trojan-type asteroids in the outer solar system

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Celestial Mechanics, Planar Circular Restricted Three Body Problem, Triangular Points, Trojan-Type Asteroid

Scientific paper

The present paper demonstrates the results of the numerical integration of equations of motion of a infinitesimal mass pleased in the neighborhood of the triangular point of the Sun-planet system. There are presented the results for the outer solar system, i.e. for Mars, Jupiter, Saturn, Uranus, Neptune and Pluto. The long-periodic solutions were searched for the distance from the Lagrangian point changing from +/-0.01 to +/-0.10 in canonical units. The Trojans of those planets have the circle, tadpole, horseshoe and irregular shape of their orbits. Same of those test particles showed a close approach to planet. Other of those collided with planet and then was removed from the solar system. The tadpole, circle and same trajectories surveyed integration for 100,000 years.

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