Asteroid orbit evolution in the case of first order commensurabilities

Astronomy and Astrophysics – Astronomy

Scientific paper

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Asteroids, Celestial Mechanics, Orbit Perturbation, Orbital Elements, Three Body Problem, Trajectory Analysis, Weierstrass Functions

Scientific paper

Consideration is given to the orbits of asteroids whose ratio of mean
motion to that of the perturbing body can be expressed as (k + 1)/k
where k is an integer. A trajectory classification is carried out, and
analytical expressions for the orbital elements are obtained in terms of
Weierstrass functions.

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