Implementation of an explicit numerical method to the study of stability of asteroids with large eccentricities and inclinations

Physics

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Asteroids, Eccentric Orbits, Jupiter (Planet), Secular Variations, Three Body Problem, Hamiltonian Functions, Liapunov Functions, Orbital Elements, Solar System

Scientific paper

In this paper, the secular variations in the restricted three bodies problem are considered by implementing an explicit numerical technique for studying stability of equilibrium solutions. In the present case, the three bodies are the sun, Jupiter and an asteroid. Results are obtained from studying some 'maximum stable orbital elements' corresponding to the stable equilibrium solutions of the particular problem.

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