This paper addresses the attitude stabilization problem for fractionated space systems where the onboard computers cannot run continuously. An auxiliary filter is constructed to imitate the intermittent computer or state acquisition of a small size, power, and weight constrained spacecraft such a CubeSat. The proposed controller does not require angular rate or inertia knowledge and guarantees attitude stabilization and boundedness for all closed loop signals for persistently excited gains driving the auxiliary filter. A novel Lyapunov function is constructed to guarantee stability including auxiliary functions for strictification of the controller. Simulation of a 3U form factor CubeSat example is carried out to demonstrate the feasibility of the controller.