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KAM stability and celestial mechanics

About this Title

Alessandra Celletti and Luigi Chierchia

Publication: Memoirs of the American Mathematical Society
Publication Year 2007: Volume 187, Number 878
ISBNs: 978-0-8218-4169-3 (print); 978-1-4704-0482-6 (online)
MathSciNet review: 2307840
MSC: Primary 70F07; Secondary 37J40, 37N05, 70F15, 70H08, 70H14

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Table of Contents


  • 1. Introduction
  • 2. Iso-energetic KAM theory
  • 3. The restricted, circular, planar three-body problem
  • 4. KAM stability of the Sun-Jupiter-Victoria problem