Abstract
The second Newton law is encoded into a completely not integrable Pfaffian system (an ideal) of the differential forms. The aim of this note is to motivate and present a new inverse problem for this Pfaffian system. A new notion of the descendant differential two-form for an exterior differential system is introduced and the set of all descendant forms for the Newton law is determined. The maximal de Rham sub-complex on which the descendant differential form is closed generalize the Hamilton and the Lagrange formalisms.
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Gusiew-Czudżak, M. (2000). The New Inverse Problem of the Newton Law. In: Borowiec, A., Cegła, W., Jancewicz, B., Karwowski, W. (eds) Theoretical Physics Fin de Siècle. Lecture Notes in Physics, vol 539. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46700-9_17
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DOI: https://doi.org/10.1007/3-540-46700-9_17
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