Two-dimensional inverse problem of dynamics for families in parametric form

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Published under licence by IOP Publishing Ltd
, , Citation Mira-Cristiana Anisiu and Arpad Pal 1999 Inverse Problems 15 135 DOI 10.1088/0266-5611/15/1/016A

0266-5611/15/1/135

Abstract

The two-dimensional inverse problem of dynamics is considered for nonconservative force fields, both in inertial and rotating frames. The families of curves are given in parametric form x = F(λ, b), y = G(λ, b), b varying along the monoparametric family of planar curves and λ being the parameter describing a specific curve. The special case of the force fields generated by a potential in an inertial field, already studied by Bozis and Borghero, is derived as well as the corresponding one in rotating frames.

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10.1088/0266-5611/15/1/016A