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Feb 9, 2013 at 16:51 comment added Joseph O'Rourke Along the lines of Theo's and Brendan's questions, I wonder if some general-position assumption would lead to uniqueness...
Feb 9, 2013 at 5:28 comment added user21349 A similar but dynamically valid example would be a test particle moving along the longitudinal axis of a gravitational rosette such as a Klemperer rosette. There are many different rosettes that could produce the same motion.
Feb 9, 2013 at 5:16 comment added user21349 This example only works if the four masses don't interact among themselves and respond to each other's forces by accelerating.
Feb 9, 2013 at 4:12 comment added Theo Johnson-Freyd I wonder if such examples are very rare or very common among all trajectories.
Feb 9, 2013 at 2:25 history answered Abhinav Kumar CC BY-SA 3.0