Relation entre l'équation de Szebehely du problème inverse de la mécanique et la théorie de Hamilton-Jacobi. (Relation between the Szebehely equation of the inverse problem of mechanics and the Hamilton- Jacobi theory)

DOI10.1007/BF02426710zbMath0676.70024MaRDI QIDQ1123041

S. H. Smith

Publication date: 1989

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

inverse problemJacobi's theoremSzebehely's equation

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03)

Related Items (2)

A generalization of Szebehely's inverse problem of dynamics ⋮ Explicit solutions of the three-dimensional inverse problem of dynamics, using the Frenet reference frame

Cites Work

• A generalization of Szebehely's equation for three dimensions
• An extension of Szebehely's problem to holonomic systems
• Formulation intrinseque de l'equation de Szebehely (intrinsic formulation of Szebehely's equation)
• Equation de Szebehely et principes variationnels
• On Szebehely's equation for the potential of a prescribed family of orbits

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