The novel contribution in this manuscript is an expansion of the current state-of-the-art in\nthe geometric installation of control moment gyroscopes beyond the benchmark symmetric skewed\narrays and the four asymmetric arrays presented in recent literature. The benchmark pyramid\nsymmetrically skewed at 54.73 degrees mandates significant attention to singularity avoidance,\nescape, and penetration, while the most recent four asymmetric arrays are strictly useful in instances\nwhere space is available to mount at least one gyro orthogonal to the others. Skewed arrays of\ngyros and the research-benchmark are introduced, followed by the present-day box-90 and â??roofâ?\nconfigurations, where the roof configuration is the first prevalently used asymmetric geometry.\nSix other asymmetric options in the most recent literature are introduced, where four of the six options\nare obviously quite useful. From this inspiration, several dozen discrete options for asymmetric\ninstallations are critically evaluated using two figures of merit: maximum momentum (saturation)\nand maximum singularity-free momentum. Furthermore, continuous surface plots are presented to\nprovide readers with countless (infinite) options for geometric installations. The manuscript firmly\nestablishes many useful options for engineers who learn that the physical space on their spacecraft is\ninsucient to permit standard installations.
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