Kirkwood gaps and instability for three body problems
February 19, 2014
3:00pm PGH 646
Abstract
It is well known that, in the Asteroid Belt, located between the orbits of
Mars and Jupiter, the distribution of asteroids has the so-called Kirkwood
gaps exactly at mean motion resonances of low order. We study the dynamics
of the Newtonian Sun-Jupiter-Asteroid problem near such resonances. We
construct a variety of diffusing orbits which show a drastic change of the
osculating eccentricity of the asteroid, while the osculating semi-major
axis is kept almost constant. We shall also discuss stochastic aspects of
dynamics in near mean motion dynamics. This might be an explanation of
presence of Kirkwood gaps. This is a joint work with J. Fejoz, M. Guardia,
and P. Roldan.
Note: the talk will be accessible to a general
math audience.
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