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Integrable systems in celestial mechanics.

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Publication:930441
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zbMath1156.70002MaRDI QIDQ930441

Diarmuid Ó Mathúna

Publication date: 30 June 2008

Published in: Progress in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

dimension reductionKepler problemEuler problemVinti problem


Mathematics Subject Classification ID

Two-body problems (70F05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Celestial mechanics (70F15) Orbital mechanics (70M20) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)


Related Items (7)

Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres ⋮ Variational aspects of the two-center problem ⋮ A satellite relative motion model including \(J_2\) and \(J_3\) via Vinti's intermediary ⋮ Orbits in the problem of two fixed centers on the sphere ⋮ Regular and irregular geodesics on spherical harmonic surfaces ⋮ Scattering invariants in Euler’s two-center problem ⋮ On action-minimizing solutions of the two-center problem




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