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The two fixed centers: an exceptional integrable system

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Publication:1766811
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DOI10.1023/B:CELE.0000043573.52985.f9zbMath1137.70008MaRDI QIDQ1766811

Ch. L. Vozikis, Harry Varvoglis, Karl Wodnar

Publication date: 1 March 2005

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)


zbMATH Keywords

periodic orbitsquasi-periodic orbitscollision orbits


Mathematics Subject Classification ID

Three-body problems (70F07) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Collisions in celestial mechanics, regularization (70F16)


Related Items

Ellipsoids, material points and material segments ⋮ Conformal transformations and integrable mechanical billiards ⋮ Fast computation of complete elliptic integrals and Jacobian elliptic functions ⋮ Variational minimizing solutions for the 2-fixed center problems ⋮ On stabilization of energy for Hamiltonian systems ⋮ Global phase portraits of the planar perpendicular problem of two fixed centers ⋮ Variational minimizing parabolic orbits for 2-fixed center problems



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