Using a computer, the problem may be solved to arbitrarily high precision using numerical integration although high precision requires a large amount of CPU time. In 2019, Breen et al. announced a fast neural network solver, trained using a numerical integrator.
^ Breen, Philip G.; Foley, Christopher N.; Boekholt, Tjarda; Portegies Zwart, Simon (2019). "Newton vs the machine: Solving the chaotic three-body problem using deep neural networks". arXiv:1910.07291. doi:10.1093/mnras/staa713. -- FROM 122.193.13.*