## Animation of elliptic 3D orbit

This is an excellent animation and shows immediately that the 3 -D orbit is a lot more intricate than the 2 – D orbit. The inversion problem is indeed a difficult one, and goes right back to Kepler himself. The computer might be able to find the answer straightforwardly. As Horst writes this should be regarded as a first attempt, but it is already full of originality. Obviously we have opened up a completely new subject area in cosmology upon which all can agree because it is based on the spherical polar coordinates.

To: EMyrone@aol.com

Sent: 31/08/2014 14:44:45 GMT Daylight Time

Subj: Animation of elliptic 3D orbitThis is an animation for the beta ellipse in 3D, parametrized by the theta angle. Since the theta grid has been chosen equidistant, the motion speed is not physical. I am not sure if the orbit is compatible with the first 3D surface r(theta,phi) shown in paper 269,3 (Figs. 3/4). Normally this should be a trace on the surface. This has further to be analysed. It would also not be straightforward to compute the right timing behaviour because the time function has to be inverted which has to be done numerically.

Horst