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

From the Sun to Pluto -extrapolation 3- (linear scales) [Du Soleil à Pluton -extrapolation 3- (échelles linéaires)].




A virtual Earth-like planet (orange) is added to the actual Solar System; Each frame of this animation corresponds to a particular trajectory of this planet when moved from the Sun -top right- to beyond Pluto -bottom left- and 16.pi rotated (see figure "The journey of an Earth-like planet (orange) from the Sun to Pluto"). For each of these trajectories, a subset {Uranus, Neptune, Pluto, the virtual planet} of the 11-body system is visualized with the virtual planet at the origin of coordinates.

Each celestial body is colored according to its actual color (if possible...):



See some interesting Virtual planet points of view -on the right-hand side- (with the related Heliocentric points of view -on the left-hand side-) from this interpolation:

A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -heliocentric point of view- ==> A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -virtual planet point of view-

A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -heliocentric point of view- ==> A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -virtual planet point of view-
A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -heliocentric point of view- ==> A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -virtual planet point of view-
A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -heliocentric point of view- ==> A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -virtual planet point of view-
A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -heliocentric point of view- ==> A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -virtual planet point of view-
A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -heliocentric point of view- ==> A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -virtual planet point of view-
A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -heliocentric point of view- ==> A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -virtual planet point of view-
A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -heliocentric point of view- ==> A subset of the Solar System (Uranus,Neptune,Pluto)with an extra orange virtual planet -virtual planet point of view-


See the same journey with the full Solar System -with non linear scales and slightly different colors-:
From the Sun to Pluto -extrapolation 2- (non linear scales)


The relative trajectories look non periodical and even chaotic. It is worth noting that the same phenomenon can be observed with with pure uniform circular motions.


What kind of science -astronomy in particular- could be developped in a such non regular context?


(CMAP28 WWW site: this page was created on 10/30/2006 and last updated on 01/28/2014 16:05:10 -CET-)



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Copyright (c) Jean-François Colonna, 2006-2014.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2006-2014.