The cw NMR response of He-3-B is investigated in large rf excitation f
ields, which exceed in magnitude the equivalent of the spin-orbit coup
ling. New states of stable spin precession are observed. The Leggett-T
akagi spin-dynamic equations are solved numerically with the proper ex
perimental parameters, the results are found to reproduce most of the
experimental features, and allow an identification of the new modes. V
ortex lines or vortex-free counterflow in the rotating superfluid have
not been found to influence the measured NMR signatures of the new mo
des.