Fulfillment of the conditions for the application of the Nekhoroshev theorem to asteroid belt

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Fulfillment of the conditions for the application of the Nekhoroshev theorem to asteroid belt

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Title: Fulfillment of the conditions for the application of the Nekhoroshev theorem to asteroid belt
Author: Pavlović, Rade
Abstract: We investigate the ful¯llment of conditions for application of Nekhoroshev theorem to real dynamical system, such as the motion of asteroids under the perturbation by major planets. We have in particular analyzed the regions of the phase space where asteroid families of Koronis and Veritas are located. The results obtained for a number of selected family members indicate that in these regions even stricter conditions (convexity, quasi-convexity and 3- jet), than the condition of steepness required by the theorem, are fullled. Consequently, the theorem of Nekhoroshev can be applied to members of Koronis family and to the members of Veritas family with regular motion.
URI: http://hdl.handle.net/123456789/717
Date: 2008

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