Nonintegrability of the truncated zonal satellite Hamiltonian at any order.

DOI10.1016/0375-9601(96)00572-5zbMath1098.70541OpenAlexW1999637803MaRDI QIDQ1967983

I. Vigo, José Manuel Ferrándiz, Maria-Eugenia Sansaturio

Publication date: 7 March 2000

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

Full work available at URL: https://doi.org/10.1016/0375-9601(96)00572-5

Mathematics Subject Classification ID

Orbital mechanics (70M20)

Related Items

The non-integrability of the truncated two fixed centres problem ⋮ Integrability of Hamiltonians with polynomial potentials ⋮ A non-integrability test for perturbed separable planar Hamiltonians

Cites Work

• 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
• Non integrability of the \(J_ 2\) problem
• Non-existence of rational integrals in the \(J_{22}\)-problem
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