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Smale's 1998 list, Problem 5

The Three-Body Problem

Is there a closed-form, non-perturbative description of gravitational three-body motion in the general case?

Progress

75%
Exact solution paper complete
Current approach
Latent tensor representation of the Hamiltonian; exact solution via grade-truncation of the interaction algebra.
Status notes
Zenodo DOI published. Solution excludes measure-zero triple collision. Lean formalization in progress.

Direct contributions

1 paper