To see the animation, please Click on a button at bottom left corner. Animation is achieved by connecting control points of parabolas and ellipses to sine of variable angle. For query you may write to me <vasantbarve@gmail.com>
This picture is made by use of GeoGebra using 1) Parabola by Tangent Method, 2) Parabloa through 3 points, 3) Inclined Ellipses and sin curves.