On Szebehely's problem extended to holonomic systems with a given integral of motion
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Publication:1077183
DOI10.1007/BF01560622zbMath0594.70020OpenAlexW2046784902MaRDI QIDQ1077183
Francesco Borghero, Antonio Melis
Publication date: 1986
Published in: Meccanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01560622
energy integralcompatibility conditionsfunctionfamily of curvesfirst integral of motion linear in the Lagrangian velocitiesfirst-order partial differential equations for the potentialfirst-order partial differential equations for the potential functionholonomic system with n degrees of freedomn-dimensional configuration space
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On Szebehely's problem for holonomic systems involving generalized potential functions, A nonlinear PDE for families of orbits on a given surface, Solution of an inverse problem of the dynamics of a particle, Inverse problem in Lagrangian dynamics: special solutions for potentials possessing families of regular orbits on a given surface, Szebehely's problem for nonholonomic systems with a given first integral
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