A new integration theory for conservative two degree-of-freedom systems

DOI10.1007/BF01230703zbMath0675.70019OpenAlexW2045812931MaRDI QIDQ3830592

Michael E. Hough

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01230703

zbMATH Keywords

Szebehely's equationautonomous Hamiltonian functiondegree-of-freedom, kinematic systemHamilton integraltwo degree-of-freedom, conservative system

Mathematics Subject Classification ID

Hamilton's equations (70H05) Free motions in linear vibration theory (70J30)

Related Items (4)

Analytic continuation of periodic orbits from equilibria of two-degree- of-freedom systems in rotating coordinates ⋮ Integral surfaces with space-time coordinates, in the gravitational field of a rotating system ⋮ Motion on two-dimensional manifolds in rotating coordinates ⋮ Intrinsic orbital coordinates on a Hamiltonian surface

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Szebehely's equation and its connection with Dainelly's-Whittaker's equations
• Isovortical orbits of autonomous, conservative, two degree-of-freedom dynamical systems
• Regularization and linearization of the equations of motion in central force-fields
• Isovortical orbits in uniformly rotating coordinates
• Intrinsic stability of periodic orbits
• A method of regularizing the equations of motion in the central force-field
• Applications of Szebehely's equation
• Linearization of dynamical systems using integrals of the motion
• On Szebehely's equation for the potential of a prescribed family of orbits

This page was built for publication: A new integration theory for conservative two degree-of-freedom systems