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Trapping Time of Resonant Orbits in Presence of Poynting - Robertson Drag

Published online by Cambridge University Press:  12 April 2016

R. Gonczi ,
Ch. Froeschlé  and
C. Froeschlé
R. Gonczi
Affiliation:
Laboratoire de Physique Théorique, Université de Nice and Observatoire de Nice, B.P. 252, 06007 Nice Cedex, France
Ch. Froeschlé
Affiliation:
Observatoire de Nice, B.P. 252, 06007 Nice Cedex, France
C. Froeschlé
Affiliation:
Observatoire de Nice, B.P. 252, 06007 Nice Cedex, France

Abstract

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We study numerically the competition between the Poynting-Robertson drag and the gravitational interaction of grains with Jupiter near orbital resonances. The computations are based on the plane elliptic restricted three body problem. Numerical investigations show that the grains always cross the resonance region without any oscillation, except in the special case where the grains were initially inside the resonance. Such grains are temporarily trapped, then due to the drag they are ejected out of the resonance. The trapping time of a particle turns out to be much more important in the 3/2 and 2/1 commensurabilities than in the others.

A numerical exploration of numerous orbits for different initial conditions and different sizes of grains has been performed. The trapping time appears to be closely connected to the size of the librator-type orbits regions; it increases with the initial eccentricity of the orbit, and is also proportional to the radius and the density of the particle.

Type
Part VI - Miscellaneous Dynamics
Information
International Astronomical Union Colloquium , Volume 74: Dynamical Trapping and Evolution in the Solar System , 1983 , pp. 397 - 410
Copyright
Copyright © Reidel 1983

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