  We study the three-body problem from different perspectives, going from
classical Newtonian physics to general relativity. In the classical case, we
modeled the interactions in a typical chaotic configuration, identifying strong
interaction times (SITs), namely transients in which the system manifests
complex, highly energetic dynamics. By selecting one of such SITs as an initial
condition for the general relativistic case, we perform simulations of
numerical relativity, showing net differences with the Newtonian case. In the
relativistic case, comparing also with the more "quiet" two-body inspiral, we
observed strong nonlinear emission of gravitational waves. The spectrum of the
three-body signals during a SIT might be a guidance for future gravitational
waves observations.
