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Exact periodic orbits and chaos in polynomial potentials

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Publication:1583677
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DOI10.1023/A:1002428309701zbMath0963.70012OpenAlexW1627145728MaRDI QIDQ1583677

N. D. Caranicolas

Publication date: 30 October 2000

Published in: Astrophysics and Space Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1002428309701


zbMATH Keywords

inverse problemchaotic orbitssecond-order curvesenergy of escapeenergy of test particleexact analytic orbitsgalactic-type potentialsperturbed harmonic oscillators


Mathematics Subject Classification ID

Celestial mechanics (70F15) Galactic and stellar dynamics (85A05) Inverse problems for systems of particles (70F17)


Related Items (5)

Periodic orbits generated by Lagrangian solutions of the restricted three body problem when one of the primaries is an oblate body ⋮ Periodic orbits for a class of galactic potentials ⋮ Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body ⋮ Symmetric Liapunov center theorem ⋮ Periodic orbits in the photogravitational restricted problem with the smaller primary an oblate body







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