Non-existence of rational integrals in the \(J_{22}\)-problem

DOI10.1016/0375-9601(95)00711-BzbMath1020.70502OpenAlexW1991551435MaRDI QIDQ1965752

José Manuel Ferrándiz, Maria-Eugenia Sansaturio

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00711-b

Mathematics Subject Classification ID

Hamilton's equations (70H05) Two-body problems (70F05) Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items

Non-integrability in Hamiltonian mechanics, Integrability of Hamiltonians with polynomial potentials, Nonintegrability of the truncated zonal satellite Hamiltonian at any order., Non-integrability of the motion of a particle around a massive straight segment, A non-integrability test for perturbed separable planar Hamiltonians, Non-integrability of a class of Hamiltonian systems

Cites Work

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• A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
• Non-integrability of the truncated Toda lattice Hamiltonian at any order
• Theory of nonlinear lattices
• Non integrability of the \(J_ 2\) problem
• A criterion for the nonexistence of an additional analytic integral in Hamiltonian systems with \(n\) degrees of freedom
• Necessary condition for the existence of algebraic first integrals