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Open AccessArticle

Non-Symmetric Gyroscope Skewed Pyramids

by Zachary Lewis 1,†, Joshua Ten Eyck 1,†, Kyle Baker 1,†, Eryn Culton 1,†, Jonathan Lang 1,† and Timothy Sands 2,*,†
Department of Mechanical and Aerospace Engineering, Naval Postgraduate School, Monterey, CA 93943, USA
Department of Mechanical Engineering (CVN), Columbia University, New York, NY 10027, USA
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Aerospace 2019, 6(9), 98;
Received: 8 July 2019 / Revised: 20 August 2019 / Accepted: 29 August 2019 / Published: 4 September 2019
(This article belongs to the Special Issue Spacecraft Attitude Determination and Control)
The novel contribution in this manuscript is an expansion of the current state-of-the-art in the geometric installation of control moment gyroscopes beyond the benchmark symmetric skewed arrays and the four asymmetric arrays presented in recent literature. The benchmark pyramid symmetrically skewed at 54.73 degrees mandates significant attention to singularity avoidance, escape, and penetration, while the most recent four asymmetric arrays are strictly useful in instances where space is available to mount at least one gyro orthogonal to the others. Skewed arrays of gyros and the research-benchmark are introduced, followed by the present-day box-90 and “roof” configurations, where the roof configuration is the first prevalently used asymmetric geometry. Six other asymmetric options in the most recent literature are introduced, where four of the six options are obviously quite useful. From this inspiration, several dozen discrete options for asymmetric installations are critically evaluated using two figures of merit: maximum momentum (saturation) and maximum singularity-free momentum. Furthermore, continuous surface plots are presented to provide readers with countless (infinite) options for geometric installations. The manuscript firmly establishes many useful options for engineers who learn that the physical space on their spacecraft is insufficient to permit standard installations. View Full-Text
Keywords: U.S. Patent 9567112 B1; control moment gyroscope; actuators; attitude control; guidance; navigation and control; spacecraft dynamics; skewed pyramid U.S. Patent 9567112 B1; control moment gyroscope; actuators; attitude control; guidance; navigation and control; spacecraft dynamics; skewed pyramid
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Lewis, Z.; Ten Eyck, J.; Baker, K.; Culton, E.; Lang, J.; Sands, T. Non-Symmetric Gyroscope Skewed Pyramids. Aerospace 2019, 6, 98.

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