Non integrability of the \(J_ 2\) problem
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Publication:1209271
DOI10.1007/BF00692515zbMath0767.70015OpenAlexW2911313301MaRDI QIDQ1209271
Publication date: 16 May 1993
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00692515
Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Orbital mechanics (70M20)
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Cites Work
- Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
- Non-integrability of Hénon-Heiles system and a theorem of Ziglin
- Non-integrability of the fourth-order truncated Toda Hamiltonian
- A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
- Geometrical aspects of Ziglin's non-integrability theorem for complex Hamiltonian systems
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