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Abstract:
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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. |