
GeoAstro Applets 
Astronomy 
Chaos Game 
Java 
Miscel laneous 
The Lagrangian points are the five
positions in an orbital configuration where a
small object affected only by gravity can
theoretically be stationary relative to two larger
objects (such as a satellite with respect to the
Sun and Earth): 
An article of N. Treitz inspired me to write this applet.
A circular orbit
around the common center of mass bc of the
two bodies is assumed (circular restricted three
body problem). The distance of the bodies M and m
is
a = rM + rm. The barycenter bc of the masses M and m is at distance rM = a·m/(M+m) from the center of M. The three curves of my applet represent the accelerations (positive to the right, negative to the left). At the position x=r of the Lagrange point L1 we have: aM (red) by the mass M (red), at distance r+rM from the center of M 
Select from the view options of the menu.  

You may use the key
"r", or "R" (shift key and "r", faster) to rotate the system around the
center of mass.

Select "Data SunEarth" from the menu:

N.
Treitz: am Himmel, Spektrum der
Wissenschaft, Oktober 2006 The Lagrange Points The Lagrangian Points for a Planetary
Orbit Satellite
in
the triangular libration point (example 7) Lagrange
points
for two similar masses Satellites Orrery:
Solar
System Simulator The Lagrange points in the EarthMoon
system Th. Münch: The
ThreeBody Problem and the Lagrangian Points
system 
Updated:
2023,
Oct 06