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https://dx.doi.org/10.5281/zen...
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Galilean Bobillier Formula For One-Parameter Planar Motions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Conference object 08 Nov 2014 Turkey Publisher:Zenodo
Authors: Akbıyık, Mücahit; Gürses, Nurten; Yüce, Salim;

doi: 10.5281/zenodo.826738 , 10.5281/zenodo.826739

Galilean Bobillier Formula For One-Parameter Planar Motions

Abstract

In this present paper, Galilean Euler-Savary formula for the radius of curvature of the trajectory of a point in the moving Galilean plane (or called Isotropic plane) during one-parameter planar motion is taken into consideration. Galilean Bobillier formula is obtained by using the geometrical interpretation of the Galilean Euler-Savary formula.Moreover, a direct way is chosen to obtain Bobillier formula without using the Euler-Savary formula in the Galilean plane. As a consequence, the Galilean Euler-Savary will appear as aspecific case of Bobillier formula given in the Galilean plane.

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Turkey
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Keywords

Euler-Savary formula, Galilean plane

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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