Finite Froude and Rossby numbers counter-rotating vortex pairs

We investigate the nonlinear evolution of pairs three-dimensional, equal-sized and opposite-signed vortices at finite Froude Rossby numbers. The two may be offset in vertical direction. initial conditions stem from relative equilibria obtained numerically quasi-geostrophic regime, for vanishing first address linear stability vortices, show that all offsets, are sensitive to an instability when close enough together. In lead partial destruction vortices. then interaction various values number. as number increases, destructive interactions, where break into pieces, occur a larger separation between compared case. also well-separated is non-destructive, ageostrophic effects deviation trajectory pair anticyclonic vortex dominates interaction. Finally, we flow remains remarkably balanced state, emitting only waves containing negligible energy, even leads