Gallery (133 different pictures):

Celestial Mechanics

[Galerie (133 images différentes) : Mécanique Céleste]

Celestial Mechanics [Mécanique Céleste]:

Celestial Mechanics [Mécanique Céleste]:

the Sun (bright yellow),
Mercury (orange),
Venus (orange),
the Earth (dark blue),
Mars (red),
Jupiter (orange),
Saturn (yellow),
Uranus (cyan),
Neptune (light blue),
Pluto (grey).

Non Chaotical Systems [Systèmes non Chaotiques]:

N-body problem integration (N=2) displaying a perfect Keplerian orbit (an ellipse).

N-body problem integration (N=2) displaying a perfect Keplerian orbit.

display of the inclination of two elliptic trajectories.




Chaotical Systems [Systèmes Chaotiques]:

N-body problem integration (N=3) displaying two planets with symmetrical initial conditions on circular trajectories.

N-body problem integration (N=3) displaying two planets with symmetrical initial conditions on elliptic trajectories -'heliocentric' point of view, yellow body-.

N-body problem integration (N=3) displaying two planets with symmetrical initial conditions on elliptic trajectories -'geocentric' point of view, green body-.

N-body problem integration (N=5) displaying four planets with symmetrical initial conditions on elliptic trajectories -'heliocentric' point of view, yellow body-.

N-body problem integration (N=5) displaying four planets with symmetrical initial conditions on elliptic trajectories -'geocentric' point of view, green body-.

N-body problem integration (N=3) with one yellow star and two planets (the red one being very heavy and the blue one being light).

N-body problem integration (N=4) with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light).

N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite) -sensitivity to initial conditions-.

N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite) computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors).

N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite) computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors).

N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite) computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors).

N-body problem integration (N=4) with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light) -yellow body point of view-.

N-body problem integration (N=4) with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light) -blue body point of view-.

N-body problem integration (N=4) with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light) -white body point of view-.

N-body problem integration (N=4) with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light) -orange body point of view-.

N-body problem integration (N=9) with a simultaneous 2.pi rotation of the observer.

16 earth-like planets initially on the same keplerian trajectory.




The Solar System [Le Système Solaire]:

The actual relative sizes of the Solar System bodies.	The actual relative sizes of the Solar System bodies.	The whole Solar System displayed with arbitrary celestial body radius.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Sun point of view-.	The non linear transformation of the coordinates in the Solar System.
N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -the Sun point of view-.




Heliocentric Views of the Solar System [Vues Héliocentriques du Système Solaire]:

N-body problem integration (N=10) displaying the actual Solar System with its simultaneous 2.pi rotation.	N-body problem integration (N=10) displaying the actual Solar System.	N-body problem integration (N=10) displaying the actual Solar System during one marsian year -Sun point of view and zoom on the four first planets: {Mercury,Venus,the Earth,Mars}-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -the Sun point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -the Sun point of view-.
N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Sun point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Sun point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Sun point of view-.

N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -the green eleventh body being the gravity center of the 9 planets-.

N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -the green eleventh body being the gravity center of the 9 planets-.

Detail close-up of the trajectory of the gravity center of the 9 planets of the Solar System.

Hodographs of 5 of the 9 planets of the Solar System during three plutonian years.

Hodographs -with display of a few velocity vectors- of 5 of the 9 planets of the Solar System during three plutonian years.

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

The distance {Earth-Mars} -millions of kilometers- starting on 01/01/1950 AD and during seven marsian years.

The distances Sun-Earth-Jupiter-Saturn-Uranus-Neptune during one neptunian year.

The distances Sun-Earth-Jupiter-Saturn-Uranus-Neptune during one neptunian year.

The distances {Sun-Jupiter,Sun-Saturn,Sun-Uranus,Sun-Neptune} during one neptunian year.

A succesful journey from the Earth to Mars starting on 01/01/1950 AD, velocity=27.900 m/s, duration=270 days.

A missed journey from the Earth to Mars starting on 01/01/1950 AD, velocity=10.000 m/s.

Artistic view of the Solar System.




Non Heliocentric Views of the Solar System [Vues non Héliocentriques du Système Solaire]:

From geocentrism to 'Neptune-centrism' -a Tribute to Nicolas Copernic-.

Point of View:	Linear Scales:	Linear Scales:	Non Linear Scales (allowing a better view of the inner Solar System):
The Sun:	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Sun point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Sun point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Sun point of view-.
Mercury:	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Mercury point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Mercury point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Mercury point of view-.
Venus:	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Venus point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Venus point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Venus point of view-.
The Earth:	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Earth point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Earth point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Earth point of view-.
Mars:	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Mars point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Mars point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Mars point of view-.
Jupiter:	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Jupiter point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Jupiter point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Jupiter point of view-.
Saturn:	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Saturn point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Saturn point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Saturn point of view-.
Uranus:	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Uranus point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Uranus point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Uranus point of view-.
Neptune:	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Neptune point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Neptune point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Neptune point of view-.
Pluto:	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Pluto point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Pluto point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Pluto point of view-.





A simplified solar system including the Sun, Jupiter and a 'false' Pluto -Sun point of view-.

A simplified solar system including the Sun, Jupiter and a 'false' Pluto -Jupiter point of view-.






From Pluto to the Sun:

From Pluto to the Sun.

From Pluto to the Sun.

Simulation of 'from Pluto to the Sun' with pure uniform circular motions:

Simulation of 'from Pluto to the Sun -extrapolation 2-' with pure uniform circular motions (non linear scales).

An extrapolation:

From Pluto to the Sun -extrapolation 2-.

From Pluto to the Sun -extrapolation 2-.

The journey of an Earth-like planet (green) in the Solar System -point of view of the virtual planet-.




Geocentric Views of the Solar System [Vues Géocentriques du Système Solaire]:

The Ptolemaic system -without equant- with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend- centered on the Earth -blue sphere-.

The Ptolemaic system without equant with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend- centered on the Earth -blue sphere-.

The Ptolemaic system without equant with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend- centered on the Earth -blue sphere-.

The Ptolemaic system with equant -grey circle above the Earth- and with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend-.

The Ptolemaic system with equant -grey circle above the Earth- with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend-.

The Ptolemaic system with equant -grey circle above the Earth- with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend-.

The Ptolemaic system with a moving equant -grey circle above the Earth- with a small light grey circle -the epicycle- whose center describes a larger dark grey circle -the deferend-.

N-body problem integration (N=10) displaying the actual Solar System with its simultaneous 2.pi rotation, our Earth being at the origin of the coordinates.	N-body problem integration (N=10) displaying the actual Solar System, our Earth being at the origin of the coordinates.	N-body problem integration (N=10) displaying the actual Solar System during one marsian year -Earth point of view and zoom on the four first planets-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -the Earth point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -the Earth point of view-.
N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Earth point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Earth point of view-.	N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Earth point of view-.

Artistic view of the Solar System viewed from the Earth.

Artistic view of the Solar System viewed from the Earth.




"Jupiter-centric" -on the plane of Pluto- Views of the Solar System [Le Système Solaire vu depuis le plan de Pluton à une distance égale à celle de Jupiter]:

N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Jupiter point of view-.

N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Jupiter point of view-.




"Neptune-centric" -on the plane of Pluto- Views of the Solar System [Le Système Solaire vu depuis le plan de Pluton à une distance égale à celle de Neptune]:

N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Neptune point of view-.

N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Neptune point of view-.




"Pluto-centric" Views of the Solar System [Le Système Solaire vu depuis Pluton]:

N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Pluto point of view-.

N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -Pluto point of view-.




"Nine Planets Gravity Center" Views of the Solar System [Le Système Solaire vu depuis le Centre de Gravité des neuf planètes]:

N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -gravity center of the 9 planets point of view-.

N-body problem integration (N=10) displaying the actual Solar System during one plutonian year -gravity center of the 9 planets point of view-.




More Point of View Interpolation in the Solar System [Plus d'Interpolations de Point de Vue dans le Système Solaire]:

[More information about Point of View Interpolation and Virtual (or Subjective) Chaos]



From Mars to the Sun.

From Mars to the Sun -extrapolation-.

From Pluto to the Sun (non linear scales).

The journey of an Earth-like virtuel planet (green) from Pluto (grey) to the Sun (yellow) -point of view of the virtual planet-.

From Pluto to the Sun (linear scales).

Simulation of 'from Pluto to the Sun' with pure uniform circular motions (linear scales).

From Pluto to the Sun -extrapolation 1- (non linear scales).






Artistic view of the Solar System in motion viewed from a virtual planet.

Artistic view of the Solar System viewed from a virtual planet.

From Pluto to the Sun -extrapolation 2- (non linear scales).

The Solar System with a dark blue virtual planet -virtual planet point of view-.

The Solar System with a dark blue virtual planet -virtual planet point of view-.

The Solar System with a dark blue virtual planet -virtual planet point of view-.

The Solar System with a dark blue virtual planet -virtual planet point of view-.

The journey of an Earth-like virtuel planet (green) in the Solar System -point of view of the virtual planet-.

The Solar System with a green virtual planet -virtual planet point of view-.

The Solar System with a green virtual planet -virtual planet point of view-.

The Solar System with a green virtual planet -virtual planet point of view-.

The Solar System with a green virtual planet -virtual planet point of view-.

Artistic view of the Solar System viewed from a virtual planet -a Tribute to Isaac Newton-.

From Pluto to the Sun -extrapolation 3- (linear scales).	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 -virtual planet 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 -virtual planet 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 -virtual planet 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 -virtual planet point of view-.






From Pluto to the Sun:

From Pluto to the Sun.

From Pluto to the Sun.

An extrapolation:

From Pluto to the Sun -extrapolation 2-.

From Pluto to the Sun -extrapolation 2-.

The journey of an Earth-like planet (green) in the Solar System -point of view of the virtual planet-.

Copyright © Jean-François COLONNA, 2000-2025.
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