For systems of three Jupiter-mass planets, the most common outcome is ejection of one planet, leaving the others in stable orbits with significant eccentricities and mutual inclinations. We have compiled statistics for orbital elements of the survivors. However, even if the effective radius is twice Jupiter's present value, the eccentricity distribution does not change significantly. The orbits of the remaining planets are subject to mutual perturbations.
Peak values bring some periastrons low enough for tides to circularize orbits.
For planets with large initial eccentricities, the time-averaged e is lower, yielding better agreement with the observed distribution. Still, some orbits with eccentricities up to 0.9, should be detected in a large enough sample of ESPs. If none are found, their absence would argue against gravitational scattering as a general phenomenon in planetary systems.