KAM Stability for a three-body problem of the Solar system

Original Paper
First Online:

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].

Mathematics Subject Classification (2000).

70H08 70F15 70F07 37J40 

Keywords.

Stability KAM theory three–body problem 
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Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di Roma Tor VergataRomaItaly
  2. 2.Dipartimento di MatematicaUniversità “Roma Tre”RomaItaly

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