Scientists from Shanghai (China), using numerical methods, found 152 new private periodic solutions to the classical (otherwise - Newtonian) three-body problem. The preprint of the study is available in the editorial office of "Tapes. RU". In total, the specialists received 164 periodic solutions. Of these, twelve include previously known solutions of the classical three-body problem, in particular, the decision of Moore (found in 1993) and eleven - Shuvakova-Dmitrishinovich (2003). The motion of three bodies having the same masses and zero momentum times occurs in a two-dimensional plane with initial coordinates (-1, 0), (1, 0), (0, 0) and initial velocities (v1, v2), (v1, v2 ), (-2v1, -2v2). The scientists enumerated 164 decisions (indicated the numerical values ??of v1 and v2 for each triple of bodies).

To find 164 periodic solutions, the scientists based on the approach of Shuvakov-Dmitrishinovich, in particular, a full search. The three-body problem consists in determining the position of three bodies, whose motion obeys Newton's law, according to known initial conditions (coordinates and velocities). The first three solutions were found by Leonard Euler in 1767, in 1892-1899 Henri Poincare proved that there are infinitely many particular solutions of this problem.

Original article: 152 new solutions of the Newtonian three-body problem.