Non-integrability of the motion of a particle around a massive straight segment

DOI10.1016/S0375-9601(01)00124-4zbMath1009.70017OpenAlexW2088731455MaRDI QIDQ5933188

Antonio Elipe, Mercedes Arribas

Publication date: 7 June 2001

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00124-4

zbMATH Keywords

truncationAnalytical integralsfinite straight segmentgravity fieldmass particlemeromorphic integralsNon-integrabilitypotential expansion

Mathematics Subject Classification ID

Celestial mechanics (70F15) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)

Related Items (7)

Order and chaos near equilibrium points in the potential of rotating highly irregular-shaped celestial bodies ⋮ Equilibrium points and periodic orbits in the vicinity of asteroids with an application to 216 Kleopatra ⋮ Integrability of Hamiltonian systems and differential Galois groups of higher variational equations ⋮ Equilibria, periodic orbits around equilibria, and heteroclinic connections in the gravity field of a rotating homogeneous cube ⋮ Periodic orbits in the gravity field of a fixed homogeneous cube ⋮ Unnamed Item ⋮ Meromorphic nonintegrability of Hamiltonian systems

Cites Work

• Unnamed Item
• 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
• A new necessary condition for the integrability of Hamiltonian systems with a two-dimensional homogeneous potential
• Non-existence of rational integrals in the \(J_{22}\)-problem
• Periodic orbits around a massive straight segment
• Differential Galois theory and non-integrability of Hamiltonian systems

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