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

From the Sun to Pluto (non linear scales) [Du Soleil à Pluton (échelles non linéaires)].




A virtual Earth-like planet (dark blue) is added to the actual Solar System. Each frame of this animation displays a particular trajectory of this planet when moved from the Sun -top right- to Pluto -bottom left- (see figure "The journey of a Earth-like planet (dark blue) from the Sun (yellow) to Pluto (grey)"). Each of these trajectories has a duration equals to one plutonian year and belongs to the plane of Pluto. For each of these intermediate trajectories, the 11-body system is visualized with the virtual planet at the origin of coordinates.

The relative trajectories look non periodical and even chaotic. Do not forget that the trajectories of the virtual planet and of the Earth do not belong to the same plane -the ecliptic plane-. Is this a new form of chaos: the Virtual Chaos? It is worth noting that the same phenomenon can be observed with with pure uniform circular motions.

What kind of science -Mathematics, Physics and Astronomy in particular- and what kind of religions could be developped in a such non regular context?

Some interesting points of view:

The actual Solar System viewed during 243 years from a dark blue virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of the Earth- from a Sun distance equals to the Earth one,
The actual Solar System viewed during 243 years from a dark blue virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Mars- from a Sun distance equals to the Mars one,
The actual Solar System viewed during 243 years from a dark blue virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Jupiter- from a Sun distance equals to the Jupiter one,
The actual Solar System viewed during 243 years from a dark blue virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Saturn- from a Sun distance equals to the Saturn one,
The actual Solar System viewed during 243 years from a dark blue virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Uranus- from a Sun distance equals to the Uranus one,
The actual Solar System viewed during 243 years from a dark blue virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Neptune- from a Sun distance equals to the Neptune one,
The actual Solar System viewed during 243 years from a dark blue virtual planet -this last one approximately belongs to the plane of Pluto and its distance from the Sun equals the one of Pluto- from a Sun distance equals to the Pluto one.



Please, note that due to scale problems, it is almost impossible to visualize actual distances and sizes in the Solar System. Then, it is the square root of the distances to the Sun that are displayed; when the Solar System is displayed without such a non linear scaling, the inner planets are "hidden" by the Sun. Moreover, the diameter of each celestial body is multiplied by a huge arbitrary factor.


(CMAP28 WWW site: this page was created on 04/08/1996 and last updated on 01/28/2014 16:04:51 -CET-)



[Please visit the related CelestialMechanics picture gallery [Visitez la galerie d'images CelestialMechanics associée]]
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Copyright (c) Jean-François Colonna, 1996-2014.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 1996-2014.