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2018 Cassini Ovals in Harmonic Motion Orbits
Khristo N. Boyadzhiev, Irina A. Boyadzhiev
J. Geom. Symmetry Phys. 47(none): 41-49 (2018). DOI: 10.7546/jgsp-47-2018-41-49

Abstract

We discover the appearance of interesting Cassinian ovals in the motion of a two-dimensional harmonic oscillator. The trajectories of the oscillating points are ellipses depending on a parameter. The locus of the foci of these ellipses is a Cassini oval. The form of this oval depends on the magnitude of the initial velocity.

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Khristo N. Boyadzhiev. Irina A. Boyadzhiev. "Cassini Ovals in Harmonic Motion Orbits." J. Geom. Symmetry Phys. 47 41 - 49, 2018. https://doi.org/10.7546/jgsp-47-2018-41-49

Information

Published: 2018
First available in Project Euclid: 10 May 2018

zbMATH: 06944465
MathSciNet: MR3822059
Digital Object Identifier: 10.7546/jgsp-47-2018-41-49

Rights: Copyright © 2018 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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