Exponential instability of collision orbit in the anisotropic Kepler problem

DOI10.1007/BF01232324zbMath0637.70006MaRDI QIDQ3777521

Haruo Yoshida

Publication date: 1987

Published in: Celestial Mechanics (Search for Journal in Brave)

zbMATH Keywords

variational equationsanisotropic two-dimensional Kepler problemcollisional periodic solutionsGauss type hypergeometric formstraight line orbit solution

Mathematics Subject Classification ID

Two-body problems (70F05) Celestial mechanics (70F15) Orbital mechanics (70M20) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items

Periodic orbit quantization of the anisotropic Kepler problem ⋮ 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 ⋮ Variational proof of the existence of periodic orbits in the anisotropic Kepler problem ⋮ A reduced form for linear differential systems and its application to integrability of Hamiltonian systems ⋮ On a family of Hill's equations in the complex field ⋮ On a class of variational equations transformable to the Gauss hypergeometric equation ⋮ Meromorphic nonintegrability of Hamiltonian systems ⋮ Non-integrability of Gross-Neveu systems

Cites Work

• Non regularizability of the anisotropic Kepler problem
• Collision orbits in the anisotropic Kepler problem
• Differential equations: Stability, oscillations, time lags
• A type of second order linear ordinary differential equations with periodic coefficients for which the characteristic exponents have exact expressions
• Qualitative analysis of the anisotropic Kepler problem
• Blowing Up Singularities in Classical Mechanical Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Exponential instability of collision orbit in the anisotropic Kepler problem