Motion on a given surface: monoparametric families of orbits sufficient for separability

DOI10.1016/j.geomphys.2006.01.002zbMath1329.70037OpenAlexW1982897860MaRDI QIDQ857402

Thomas Kotoulas, Simos Ichtiaroglou

Publication date: 14 December 2006

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.01.002

zbMATH Keywords

separabilitymonoparametric families of orbitsmotion on surface

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Dynamical systems in classical and celestial mechanics (37N05) Inverse problems for systems of particles (70F17) Inverse problems in optimal control (49N45) Lagrange's equations (70H03)

Related Items

A nonlinear PDE for families of orbits on a given surface

Cites Work

• Motion on the sphere: integrability and families of orbits
• On monoparametric families of orbits sufficient for integrability of planar potentials with linear or quadratic invariants
• On Szebehely's equation for the potential of a prescribed family of orbits
• On the determination of the generalized force field from a two-parametric family of orbits on a given surface
• Family boundary curves for holonomic systems with two degrees of freedom
• The inverse problem of dynamics: basic facts
• On Szebehely's Inverse Problem for a Particle Describing Orbits on a Given Surface
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item