Abstract: A method is described for avoiding gyroscopic singularities during attitude correction to a system, such as a spacecraft having a CMG array. The method receives a corrective torque vector ? and gimbal angle values ? for each of at least three gimbals within the CMG array. The method generates a Jacobian matrix A as a function of gimbal angle values ?. The method calculates a determinant D of Jacobian matrix A. If the determinant is not equal to zero, it is not singular, and the method calculates a gimbal rate {dot over (?)} using a pseudo-inverse steering law equation. If the determinant is equal to zero, it is singular, and the method calculates a gimbal rate {dot over (?)} using a singularity avoidance steering law equation. The gimbal rate {dot over (?)} is output and can be applied to a CMG array resulting in applied torque to a spacecraft and attitude correction.

Abstract: Provided is a batch fabrication method of three-dimensional photonic microstructures including a support structure fabricating step, a variable structure fabricating step, a thermal reflow step, and a three-dimensional photonic microstructure forming step. The batch fabrication method of three-dimensional photonic microstructures fabricates three-dimensional photonic microstructures having several shapes depending on a demand of a user through these steps.

Abstract: Disclosed are a cover bottom, which includes a plurality of LED frames with an LED array adhered thereto and a plurality of reinforcing frames coupled to the LED frames in a lattice type, and a display device using the same. The cover bottom includes at least two or more light emitting diode (LED) frames, to which an LED array is adhered, and at least two or more reinforcing frames coupled to the LED frames in a lattice type.

Abstract: A stent is disclosed herein. The stent includes a silicon cover, a plurality of cylindrical members, and connection members. The silicon cover is formed in an open hollow cylindrical shape in which the diameter of both ends thereof is larger than the diameter of the intermediate portion thereof. The plurality of cylindrical members is disposed on the outer circumference of the silicon cover in a hollow cylindrical shape whose both ends are open, and is configured such that the diameter thereof is reduced by external force to be installed in a tubule. The connection members connect facing ones of the plurality of cylindrical members at regular intervals in a single ring shape between the cylindrical members, and have elasticity in a lengthwise direction.