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

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 \(x=F(\U{3bb} ,b),y=G(\U{3bb},b),b\)varying along the monoparametric family of planar curves and \U{3bb} 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.

Mira-Cristiana Anisiu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania

Arpad Pal
Astronomical Observatory Babeş-Bolyai University, Cluj-Napoca, Romania

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M.-C. Anisiu, Á. Pál, Two-dimensional inverse problem of Dynamics for families in parametric form, Inverse Problems 15 (1999), 135-140, http://10.1088/0266-5611/15/1/016a

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