The evolution of asteroid orbits in the case of second- and third-order commensurabilities

Astronomy and Astrophysics – Astronomy

Scientific paper

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Asteroids, Celestial Mechanics, Orbital Elements, Solar Orbits, Three Body Problem, Evolution (Development), Quadratures, Trajectory Analysis, Weierstrass Functions

Scientific paper

Consideration is given to the orbits of asteroids for which the ratio of
their mean motions to that of a perturbing body is approximately equal
to (k + l)/k, where l equals 2 or 3 and k is an integer. A
classification of trajectories is carried out. Expressions for the
orbital elements are obtained in Weierstrass functions.

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