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This note provides a direct method for obtaining Lagrange's equations describing the rotational motion of a rigid body in terms of quaternions by using the so-called fundamental equation of constrained motion.
This paper presents results for digitally locking an experimental optical cavity. Locking an optical cavity refers to the process of matching the resonant frequency of the cavity with the input laser frequency in order to facilitate maximum energy build-up inside the cavity. The cavity used in this paper is a three-mirror ring cavity with a piezo actuator… (More)