Hodographs -with display of a few velocity vectors- of 5 of the 9 planets of the Solar System during three plutonian years [Hodographes -avec visualisation de quelques vecteurs vitesses- de 5 des 9 planètes du système solaire pendant trois années plutoniennes ]

Hodographs -with display of a few velocity vectors- of 5 of the 9 planets of the Solar System during three plutonian years [Hodographes -avec visualisation de quelques vecteurs vitesses- de 5 des 9 planètes du système solaire pendant trois années plutoniennes].




In the following visualization the velocity vectors -displayed with a common origin- of the 9 planets of the Solar System are computed during one plutonian year (and not three...):

The velocity vectors -with a common origin- of the 9 planets of the Solar System during one plutonian year


When one use a common origin (the picture center) for all velocity vectors of each planet one can notice that the non still extremities are moving along quasi-circles (the so-called hodograph(s)). Only the Earth -dark blue-, Jupiter -orange-, Saturn -yellow-, Uranus -cyan- and Neptune -light blue- are displayed. In particular Pluto cannot be there for it is not in the same plane (ecliptic) than the other planets...


For a given planet -the Earth for example- the angular distance between two consecutive velocity vectors could seem strange. It is due to the fact that only a few velocity vectors are displayed and that each trajectory is covered many times (730 times for the Earth) during the computation. It looks like a stroboscopic effect...


(CMAP28 WWW site: this page was created on 10/14/1999 and last updated on 06/04/2026 22:59:30 -CEST-)



[See the generator of this picture [Voir le générateur de cette image]]

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

[Please visit the related CelestialMechanics picture gallery [Visitez la galerie d'images CelestialMechanics associée]]
[Please visit the related ImagesDidactiques picture gallery [Visitez la galerie d'images ImagesDidactiques associée]]

[Go back toMathematics - A Virtual Instrument For Exploring Space Time And Beyond [Retour à {a chapter of 'Mathematics-AVirtualInstrumentForExploringSpaceTimeAndBeyond'}]]

[The Y2K Bug [Le bug de l'an 2000]]
[Are we ready for the Year 2038 [Notre informatique est-elle prête pour l'An 2038]?]

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


Copyright © Jean-François COLONNA, 1999-2026.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 1999-2026.