3d repeating orbit of 12 equal weight worlds



Michael Nauenberg and Christopher Moore recently found a
three-dimensional set of orbits for 12 equal weight worlds. They start
at the (0,+-1,+-1) positions and travel in four roughly circular paths
about the center of mass, with the planes inclined like the faces of a
tetrahedron. It isn't very stable. They have Quicktime and MP4 clips
at http://www.santafe.edu/~moore/gallery.html, and there's a Java
applet based on their coordinates at
http://burtleburtle.net/bob/physics/moore1.html .

Three dimensional kinda-stable orbits are easy to come by, but this is
the first one I've heard of that doesn't suffer from being off a little
due to precession.

.



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