An extension of Szebehely's problem to holonomic systems

Mathematics

Scientific paper

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Equations Of Motion, Orbit Calculation, Partial Differential Equations, Particle Trajectories, Potential Theory, Constraints, Coordinates, Degrees Of Freedom, Functions (Mathematics), Plates (Structural Members), Rigid Structures, Rods

Scientific paper

The problem of the determination of the potential function of forces
generating a given family of orbits in the n-dimensional configuration
space of the representative point of a holonomic system is studied.
First-order partial differential equations are obtained for solving the
problem, and some particular examples are discussed.

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