  The fast spinning B-star Regulus has recently been found to be orbited by a
fainter companion in a close circular path with orbital period P_b = 40.11(2)
d. Being its equatorial radius R_e 32% larger than the polar one R_p, Regulus
possesses a remarkable quadrupole mass moment Q. We investigate the effects of
Q on the orbital period P_b of its companion in order to see if they are
measurable, given the present-day level of accuracy in measuring P_b.
Conversely, we will look for deviations from the third Kepler law, attributed
to the quadrupole mass moment Q of Regulus, to constrain the ratio \gamma=m/M
of the system's masses.
