An extension of Szebehely's problem to holonomic systems

DOI10.1007/BF01358405zbMath0545.70022OpenAlexW1986864647MaRDI QIDQ3335050

Antonio Melis, Benedetto Piras

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01358405

zbMATH Keywords

inverse problemn degrees of freedomdetermination of the potentialcontraints independent of time

Mathematics Subject Classification ID

Galactic and stellar dynamics (85A05) (n)-body problems (70F10) Holonomic systems related to the dynamics of a system of particles (70F20)

Related Items (9)

An observation on the inverse extended problem of Szebehely ⋮ On Szebehely's problem extended to holonomic systems with a given integral of motion ⋮ On Szebehely's problem for holonomic systems involving generalized potential functions ⋮ 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) ⋮ Solution of the three-dimensional inverse problem ⋮ A generalization of Szebehely's inverse problem of dynamics ⋮ A generalization of Szebehely's inverse problem of dynamics in dimension three ⋮ Explicit solutions of the three-dimensional inverse problem of dynamics, using the Frenet reference frame ⋮ Szebehely's problem for nonholonomic systems with a given first integral

Cites Work

• A generalization of Szebehely's equation for three dimensions
• Determination of the potential in a synodic system
• Applications of Szebehely's equation

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