The perturbations of the orbital elements of Trojan asteroids

Mathematics

Scientific paper

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Asteroids, Asymptotic Methods, Orbit Perturbation, Orbital Elements, Three Body Problem, Two Body Problem, Coordinates, Equations Of Motion, Orbit Calculation, Achilles Asteroid, Patroclus Asteroid, Hector Asteroid, Nestor Asteroid, Priamus Asteroid, Agamemnon Asteroid, Anchises Asteroid, Asteroids, Ajax Asteroid, Diomedes Asteroid, Odysseus Asteroid, Aeneas Asteroid, Troilus Asteroid, Trojan Asteroids, Perturbations, Celestial Mechanics, Coordinates, Three Body Problem, Procedure, Two Body Problem, Orbits,

Scientific paper

An asymptotic solution for the cylindrical coordinates of Trojan asteroids is derived by using a three-variable expansion method in the elliptic restricted three-body problem. The perturbations of the orbital elements are obtained from this solution by applying the formulas of the two-body problem. The main perturbations of the mean motion are studied in detail.

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