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Lagrange Points Applet (2)



Lagrange Applet (1)

A paper of N. Treitz inspired me to write this applet.

The applet is showing three bodies:
mass MA at (xA,yA)
mass MB at (xB,yB)
mass MC at (xC,yC)
forming an equilateral triangle. The center of mass is at (0,0).

MA*xA+MB*xB+MC*xC = 0
MA*yA+MB*yB+MC*yC = 0

example

The lengths of the segments a, b, c are proportional to the value of the masses MA, MB, and MC.
The positions of a, b, and c are opposite to the corresponding mass.



menu
Select from the view options of the menu.
rotate
                      fast  roration

You may use the key "r", or "R" (shift key and "r", faster) to rotate the system around the center of mass.
Click the applet first !
Select "Reset" to return.

lagrangian points

Web Link

N. Treitz: Trojaner am Himmel, Spektrum der Wissenschaft, Oktober 2006

The Lagrange Points

The Lagrange Points

Effective Potential and the Lagrangian Points

Gravitation Simulations

The Lagrangian Points for a Planetary Orbit

Lagrangian point (wikipedia)

Gaia's Lissajous Type Orbit

Klemperer Rosettes

Satellite in the triangular libration point (example 7)

Lagrange points for two similar masses

Satellites
Click, drag and release to set location, speed and direction. Try to manage a Lagrange point!

Orrery: Solar System Simulator



Updated: 2012, Oct 24