LY12833 - Predicting the general motion of three celestial bodies, such as planets, or stars, mutually interacting by Newtonian gravity is among the longest standing problems in physics. It was shown by Bruns in 1887 that the three-body problem is not solvable in its most general form, the way the two-body problem is. Over time, three families of particular solutions, realizable under specific conditions, have been discovered, however. All trajectories in these three families share the same geometrical and algebraic symmetries, thus defining a single class.In this work, we report the discovery of 13 additional distinct families of possible three-body trajectories. Besides three new families belonging to the one previously known class, 10 families belong to three new classes. These three new classes of trajectories represent hitherto unprecedented, and even undreamt of types of planetary motion. While this still leaves the three-body problem unsolvable in general, our findings significantly contribute to the understanding of celestial mechanics and planetary motion.
Historically, the first family was found using only pen-and-paper by the great 18th century mathematicians Leonhard Euler and Joseph Louis Lagrange. Then, in the mid-1970's, the late NASA scientist Roger Broucke and the French astronomer Michel Henon discovered the second family using electronic computers. These computers were among the largest available at the time, but their power was smaller than that of today's mobile phones. The first member of the third family was found by the New Mexico-based computer scientist and physicist Cris Moore in 1993, and is now known as the "figure-8" trajectory. Further members of this family were found between years 2000 and 2005.






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