Summary
The Lagrangian of a dynamical system is transformed by introducing simultaneously generalized coordinates and a generalized time. These transformations are combined in such a way that the cartesian form of the Lagrangian is preserved.
Zusammenfassung
Die Lagrange-Funktion eines dynamischen Systems wird transformiert mittels der Einführung von verallgemeinerten Koordinaten und einer verallgemeinerten Zeit. Durch geeignete Kombination solcher Transformationen kann erreicht werden, dass die cartesische Gestalt der Lagrange-Funktion erhalten bleibt.
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References
Olga Taussky,Sums of squares, American Mathematical Monthly, vol. 77, No. 8, Oct. 1970.
J. Baumgarte,Stabilization of Constraints and Integrals of Motion in Dynamical Systems, Computer Methods in Applied Mechanics and Engineering1 (1972), pp. 1–16.
T. Levi-Civita,Sur la resolution qualitative du problème restreint des trois corps, Opere mathematiche2, 1956.
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Dedicated to Olga Taussky in admiration of her scientific work.
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Stiefel, E. Remark on sums of squares in dynamics. Journal of Applied Mathematics and Physics (ZAMP) 26, 125–126 (1975). https://doi.org/10.1007/BF01596285
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DOI: https://doi.org/10.1007/BF01596285