Explicit solutions of the three-dimensional inverse problem of dynamics, using the Frenet reference frame

DOI10.1007/BF00052609zbMath0757.70008MaRDI QIDQ1194796

François Puel

Publication date: 4 October 1992

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

zbMATH Keywords

potentialSzebehely's equationunit tangent vector

Mathematics Subject Classification ID

Celestial mechanics (70F15)

Related Items (5)

Separable and partially separable systems in the light of the inverse problem of dynamics ⋮ Straight line orbits in Hamiltonian flows ⋮ A generalization of Szebehely's inverse problem of dynamics in dimension three ⋮ The energy-free equations of the 3D inverse problem of dynamics ⋮ Family boundary curves for autonomous dynamical systems

Cites Work

• Unnamed Item
• 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)
• Determination of autonomous three-dimensional force fields from a two-parameter family of orbits
• A generalization of Szebehely's equation for three dimensions
• Existence of the solution of Szebehely's equation in three dimensions using a two-parametric family of orbits
• 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
• Solution of the three-dimensional inverse problem
• Solution of an inverse problem of the dynamics of a particle
• Applications of Szebehely's equation
• On Szebehely's equation for the potential of a prescribed family of orbits

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