The motion of Hecuba-type asteroids

Astronomy and Astrophysics – Astronomy

Scientific paper

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Asteroids, Celestial Mechanics, Orbital Elements, Equations Of Motion, Numerical Integration, Perturbation Theory, Resonance, Runge-Kutta Method

Scientific paper

Runge-Kutta numerical integration of the resonance equations of motion of Hecuba-type asteroids was performed. The perturbations of an arbitrary element were obtained as a function of the initial value of the semimajor axis at an interval of time of about 1,000 years. The resonance curves obtained are highly asymmetric, and a shift of their maxima from the value of exact 2:1 commensurability with Jupiter is noted. The asymmetry of the semimajor axis resonance curve for an initial uniform distribution of the asteroids with respect to the initial semimajor axis value leads to a gap every 400 years, approximately.

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