gripping frictional force stabilizing case clamps 20 and 25 can have a variety of cross sectional shapes such as square triangular circular elliptical for examples outrigger base assembly 15 can be made from different stock including square tube round tube i beams c beams or other cross sectional shapes an exemplary vems 30 having a diameter of 21 0 inches can have outrigger base assembly 15 and stabilizing case clamps 20 and 25 shaped to have an inner radius of 10 5 inches to accommodate the exemplary vems 30 the length and width of outrigger base assembly 15 should be the maximum practical length so as not to interfere with detachable hardware or sensors or access ports on the exemplary vems 30 therefore outrigger base assembly 15 of stabilizer system 10 provides a flat bottom for vems 30 and greatly enhances the ability of vems 30 to remain stable even in high sea states or locations where strong sea currents are prevalent having the teachings of this invention in mind different applications modifications and alternate embodiments of this invention may be adapted stabilizer system 10 can be made in larger or smaller sizes and in a multitude of different shapes and could be made from a wide variety of materials in other words the design and construction of stabilizer system 10 allows for accommodation of different underwater systems other than the cylindrical shape of vems 30 by substituting differently dimensioned and shaped components stabilizer system 10 of the invention can easily be removed and reinstalled if necessary and simple.