Bobillier Formula for the Elliptical Harmonic Motion

Furkan Semih Dundar; Ersoy, Soley; Nuno T. Sa Pereira

dc.contributor.authors	Dundar, FS; Ersoy, S; Pereira, NTS;
dc.date.accessioned	2020-01-17T08:21:42Z
dc.date.available	2020-01-17T08:21:42Z
dc.date.issued	2018
dc.identifier.citation	Dundar, FS; Ersoy, S; Pereira, NTS; (2018). Bobillier Formula for the Elliptical Harmonic Motion. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 26, 110-103
dc.identifier.issn	1224-1784
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6101
dc.identifier.uri	https://doi.org/10.2478/auom-2018-0006
dc.description.abstract	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 pi/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.
dc.language	English
dc.publisher	OVIDIUS UNIV PRESS
dc.rights	info:eu-repo/semantics/openAccess
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/
dc.subject	Mathematics
dc.title	Bobillier Formula for the Elliptical Harmonic Motion
dc.type	Article
dc.identifier.volume	26
dc.identifier.startpage	103
dc.identifier.endpage	110
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Ersoy, Soley
dc.relation.journal	ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
dc.identifier.wos	WOS:000429043800006
dc.identifier.doi	10.2478/auom-2018-0006
dc.identifier.eissn	1844-0835
dc.contributor.author	Furkan Semih Dundar
dc.contributor.author	Ersoy, Soley
dc.contributor.author	Nuno T. Sa Pereira