A simple choreography is defined as a collision free solution of the n-body problem in which all the bodies move on the same closed curve with the same time shift. Below you can see examples of choreographies.

The initial conditions have been found by Carles Simó and Barcelona UB-UPC Dynamical Systems Group. The movies have been prepared by me.

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4a 4d 4e 5b_0 5b_1 5b_2 5b_4 5b_5 5b_6 5b_7 5b_8 5b_9
5b_10 5b_15 5b_16 5b_12 5b_13 5b_14 6a 6b 6c 7a 7b 7c
7d 8a 8b 8e 9b 9c