Inverse problem in Lagrangian dynamics: special solutions for potentials possessing families of regular orbits on a given surface

DOI10.1080/17415970500190779zbMath1194.70026OpenAlexW2079206457MaRDI QIDQ3588268

Thomas Kotoulas

Publication date: 10 September 2010

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970500190779

zbMATH Keywords

partial differential equationssurfacestwo-dimensional potentialsinverse problem of Lagrangian dynamicsmono-parametric families of orbits

Mathematics Subject Classification ID

Inverse problems for systems of particles (70F17) Lagrange's equations (70H03)

Cites Work

• On Szebehely's problem extended to holonomic systems with a given integral of motion
• Isoenergetic families of planar orbits generated by homogeneous potentials
• Potentials having two orthogonal families of curves as trajectories
• Solvable cases of Szebehely's equation
• On Szebehely's problem for holonomic systems involving generalized potential functions
• Formulation intrinseque de l'equation de Szebehely (intrinsic formulation of Szebehely's equation)
• Inverse problem with two-parametric families of planar orbits
• On the determination of the generalized force field from a two-parametric family of orbits on a given surface
• A solvable version of the inverse problem of dynamics
• The inverse problem of dynamics: basic facts
• An alternative point of view on the equations of the inverse problem of dynamics

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