On Szebehely's problem for holonomic systems involving generalized potential functions

DOI10.1007/BF00049418zbMath0718.70006MaRDI QIDQ2639656

Antonio Melis, Francesco Borghero

Publication date: 1990

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

zbMATH Keywords

holonomic systemconfiguration manifoldgeneralized potential functiondynamical trajectoriesSzebehely's problem

Mathematics Subject Classification ID

Holonomic systems related to the dynamics of a system of particles (70F20) Lagrange's equations (70H03) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

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Cites Work

• On Szebehely's problem extended to holonomic systems with a given integral of motion
• An extension of Szebehely's problem to holonomic systems
• Determination of the potential in a synodic system
• Generalization of Szebehely's equation
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