click to view the MPEG movie (cliquez pour voir le film MPEG)

The journey of a sphere (dark blue) in a system of pure uniform non concentric circular motions -moving point of view (dark blue)- [Le voyage d'une sphère (bleue sombre) dans un système de purs mouvements circulaires uniformes -point de vue de la sphère (bleue sombre) en mouvement-].

9 spheres are following pure uniform non concentric circular motions in a tridimensional space about different fixed points. The angular velocities V are chosen according to the following rule:
                     2 3
                    V R = constant

(R being the radius) that is similar to the third Kepler's law:
                    ---- = constant

(T being the period).

A virtual sphere (dark blue) is added to this set. Each frame of The journey of a sphere (dark blue)in a system of pure uniform non concentric circular motions -fixed point of view (yellow)- this animation displays a particular trajectory of this sphere when moved from the farthest sphere to a tenth fixed point (yellow). For each of these intermediate trajectories, the sphere motion is visualized with the virtual sphere at the origin of coordinates.

(CMAP28 WWW site: this page was created on 11/30/2000 and last updated on 04/02/2019 08:16:18 -CEST-)

[See all related pictures (including this one) [Voir toutes les images associées (incluant celle-ci)]]

[Please visit the related GeneralitiesVisualization picture gallery [Visitez la galerie d'images GeneralitiesVisualization associée]]
[Go back to AVirtualSpaceTimeTravelMachine [Retour à AVirtualSpaceTimeTravelMachine]]
[The Y2K bug [Le bug de l'an 2000]]

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[Mail [Courrier]]
[About Pictures and Animations [A Propos des Images et des Animations]]

Copyright (c) Jean-François Colonna, 2000-2019.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2000-2019.