Theory of the motion of Trojan asteroids

Computer Science

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Asteroids, Celestial Mechanics, Three Body Problem, Trojan Orbits, Canonical Forms, Equations Of Motion, Hamiltonian Functions, Numerical Integration

Scientific paper

An analytical theory of Trojan asteroid motion (resonance 1/1 with Jupiter) is considered in the framework of the circular restricted three body problem. The theory generalizes Garfinkel's results (1977, 1978) for the case of nonzero inclinations of orbits. Comparison of the theory with the results of numerical integration of motion equations shows that it provides an accuracy of the order O(m exp 3/2).

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