A new solution to the three body problem - and more
by Bill Casselman
These have been selected more or less randomly from a collection of 47 choreography
designed by Carles Simó to run in gnuplot, which have in turn
been selected from several hundred possibilities he has examined. The data to make these plots
have just been lifted from Simó's programs, in fact.
The full collection of 47 animations can be obtained from
Note that these choreographies are
conjectural solutions to the problem of N equal point masses moving in the
plane under their mutual gravitational attraction, the conjectures supported
by computer analysis. Only the 3-body figure-eight has been proved to be an actual
Click on an image to see an animation applet. The numbering is taken from Simó's sequence.
) Copyright 2001, American Mathematical Society