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WASP-33 is a fast rotating, main sequence star which hosts a hot Jupitermoving along a retrograde and almost polar orbit with semi-major axis a = 0.02au and eccentricity provisionally set to e = 0. The quadrupole mass moment J_2and the proper angular momentum S of the star are 1900 and 400 times,respectively, larger than those of the Sun. Thus, huge classical andrelativistic non-Keplerian orbital effects should take place in such a system.In this paper we investigate the perspectives in detecting them (Abridged)

Classical and relativistic node precessional effects in WASP-33b and perspectives for detecting them