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.
Citation
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