Numerical investigation on the orbital evolution of 1:2 resonant asteroids between Jupiter and Saturn

Astronomy and Astrophysics – Astronomy

Scientific paper

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Asteroids, Four Body Problem, Orbital Elements, Orbital Resonances (Celestial Mechanics), Three Body Problem, Aphelions, Jupiter (Planet), Saturn (Planet), Solar Planetary Interactions

Scientific paper

The changes of orbital elements of an asteroid whose initial semimajor axis value corresponds to that of a 1:2 resonant orbit are investigated in order to explore the possibility that asteroids between Jupiter and Saturn could be trapped in a resonant relation. Consideration is given to a planar restricted problem of three bodies, sun-Jupiter-asteroid, and then a four-body problem - sun-Jupiter-asteroid-Saturn. Results of the restricted problem show that the semimajor axis and the eccentricity change periodically and that the maximum of the aphelion distance exceeds aS.

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