On the evolution of orbital resonance

Astronomy and Astrophysics – Astronomy

Scientific paper

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Orbit Calculation, Orbital Mechanics, Orbital Resonances (Celestial Mechanics), Perturbation Theory, Mathematical Models, Numerical Stability

Scientific paper

The characteristics of orbital resonance can be revealed by the model of the corresponding ideal resonance which is obtained with the averaging method. How does the resonant motion evolve under the action of perturbation, when t is about l/epsilon, even t is much greater than l/epsilon, where epsilon is a small perturbing parameter? In this paper, we study mainly the orbital resonance of asteroids and try to clarify the evolution of the resonant state and the influence of the perturbing factors by both numerical investigation and theoretical analysis for some commensurate ratios. We have found preliminarily some differences among them.

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