KAM Stability for a three-body problem of the Solar system |
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| Authors: | Alessandra Celletti Luigi Chierchia |
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| Institution: | (1) Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Roma, Italy;(2) Dipartimento di Matematica, Università “Roma Tre”, Largo S. L. Murialdo 1, I-00146 Roma, Italy |
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| Abstract: | A new (iso-energetic) KAM method is tested on a specific three-body problem “extracted” from the Solar system (Sun-Jupiter
+ asteroid 12 Victoria). Analytical results in agreement with the observed data are established. This paper is a concise presentation
of 2].
Supported by the MIUR projects: “Dynamical Systems: Classical, Quantum, Stochastic” and “Variational Methods and Nonlinear
Differential Equations”
Received: February 3, 2004 |
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| Keywords: | 70H08 70F15 70F07 37J40 |
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