Instability of Periodic Orbits in the Restricted Three Body Problem

Daniel Offin () and Wojciech Skoczylas
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Daniel Offin: Queens University
Wojciech Skoczylas: Queens University

A chapter in New Advances in Celestial Mechanics and Hamiltonian Systems, 2004, pp 153-168 from Springer

Abstract: Abstract Recent results by I.Ekeland, G.F.Dell’ Antonio et al [4] have helped to expose the close connection between global variational methods for finding periodic solutions, and the stability type of periodic solutions determined by these methods. For example, elliptic stable periodic solutions of convex Hamiltonian systems, or characteristics of surfaces bounding a convex interior, have been shown to exist globally [5].

Keywords: Periodic Solution; Periodic Orbit; Body Problem; Jacobi Constant; Collision Orbit (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-1-4419-9058-7_10

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