Dynamical behaviour of asteroids in a second order commensurability.

Details Dynamical behaviour of asteroids in a second order commensurability. Dynamical behaviour of asteroids in a second order commensurability.

Dec 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26as..114..325f&link_type=abstract

Astronomy and Astrophysics Supplement, v.114, p.325

Astronomy and Astrophysics

Astrophysics

Asteroids, Celestial Mechanics, Methods: Numerical, Chaos

Scientific paper

The outstanding problem in the zone around the 5:3 commensurability with Jupiter, is the evident absence of asteroids. According to the gravitational hypothesis, this is due to the gravitational perturbation of Jupiter on the motion of asteroids in the outer mainbelt. In this paper we study the motion of fictitious asteroids in the 5:3 mean motion commensurability. We present results of an investigation based on numerical integration. We integrated the newtonian equations of motion in order to study the evolution of orbital elements. We obtained that there is a close dependence between the initial eccentricity e_0_ and the behaviour of the asteroids. We concluded that the 5:3 jovian resonance generates an instability zone in the range 3.665A.U.<=a<=3.735A.U.

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