Isovortical orbits of autonomous, conservative, two degree-of-freedom dynamical systems

DOI10.1007/BF01241040zbMath0581.70014OpenAlexW2045588250MaRDI QIDQ3703339

Michael E. Hough

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01241040

zbMATH Keywords

self-similar solutionsconstant vorticitylevel curvesKeplerian orbitsangular momentum integralsautonomous orbit functionautonomous, conservative dynamical system of two degrees of freedomcentral force field with homogeneous (power law) potentialconstant velocity curlisovortical orbitsMonge-Ampère solutions

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (3)

Isovortical orbits in uniformly rotating coordinates ⋮ Intrinsic stability of periodic orbits ⋮ A new integration theory for conservative two degree-of-freedom systems

Cites Work

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• On Szebehely's equation and its connection with Dainelly's-Whittaker's equations
• Inverse problem with two-parametric families of planar orbits
• Conformal Killing Tensors and Variable Separation for Hamilton–Jacobi Equations
• On Szebehely's equation for the potential of a prescribed family of orbits

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