Linked from
The 25 pages that link to Two-body problem, each with the reason it gives.
Celestial mechanicsBroader topic: Its exact solution provides the baseline for orbital calculations.
Gravity assistNarrower topic: A flyby’s basic geometry is often analyzed as a two-body encounter.
Orbital perturbationNarrower topic: Perturbations are departures from this idealized baseline.
Reduced massNarrower topic: Reduced mass converts its relative-motion part into a one-body problem.
Circular orbitNarrower topic: Circular orbits are exact solutions under the two-body idealization.