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].
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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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Celletti, A., Chierchia, L. KAM Stability for a three-body problem of the Solar system. Z. angew. Math. Phys. 57, 33–41 (2005). https://doi.org/10.1007/s00033-005-0002-0
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DOI: https://doi.org/10.1007/s00033-005-0002-0