Bobillier Formula for the Elliptical Harmonic Motion

Autor: Dundar Furkan Semih, Ersoy Soley, Pereira Nuno T. Sá
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 26, Iss 1, Pp 103-110 (2018)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.2478/auom-2018-0006
Popis: In this study, we have considered the elliptical harmonic motion which is the superposition of two simple harmonic motions in perpendicular directions with the same angular frequency and phase difference of π/2 . It is commonly recognized that a convenient formulation for problems in planar kinematics is obtained by using number systems. Here the elliptical numbers are used to derive the Bobillier formula with two different methods for aforesaid motion; the first method depends on the Euler-Savary formula and the second one uses the usual relations of the velocities and accelerations.
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