KAM tori for N-body problems: a brief history

  • A. Celletti
  • L. Chierchia
Conference paper


We review analytical (rigorous) results about the existence of invariant tori for planetary many-body problems.


Computer-assisted proofs Invariant tori KAM theory N-body problem Small divisor problems 


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Copyright information

© Springer Science+Business Media B.V. 2006

Authors and Affiliations

  • A. Celletti
    • 1
  • L. Chierchia
    • 2
  1. 1.Dipartimento di MatematicaUniversità di Roma Tor VergataRomaItaly
  2. 2.Dipartimento di MatematicaUniversità “Roma Tre”RomaItaly

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