When a teardrop tank system undergoes a rotational unbalance due to the detachment of an object from a spinning satellite, we encounter a problem that some of the tanks empty due to the liquid propellant migration and the tilt of the principal inertia axis becomes large. To solve this problem, a method is proposed that supplies pressurized gas to the ullage in each tank and confines the gas by closing the valves among the tanks. The effectiveness of this control method is ascertained by numerical computation. Furthermore, the influences of the difference among the gas temperatures in the tanks and the solubility of a pressurant in the propellant are examined.