Geometric Integration of Quaternions

Abstract

No AccessEngineering NoteGeometric Integration of QuaternionsMichael S. Andrle and John L. CrassidisMichael S. AndrleDepartment of Mechanical and Aerospace Engineering, University at Buffalo, State University of New York, Amherst, New York 14260-4400*Graduate Student, Department of Mechanical and Aerospace Engineering; .Search for more papers by this author and John L. CrassidisDepartment of Mechanical and Aerospace Engineering, University at Buffalo, State University of New York, Amherst, New York 14260-4400†Professor, Department of Mechanical and Aerospace Engineering; . Associate Fellow AIAA.Search for more papers by this authorPublished Online:30 Oct 2013https://doi.org/10.2514/1.58558SectionsView Full TextPDFPDF Plus ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Jah M. and Madler R., “Satellite Characterization: Angles and Light Curve Data Fusion for Spacecraft State and Parameter Estimation,” Proceedings of the Advanced Maui Optical and Space Surveillance Technologies Conference, Vol. 49, Wailea, HI, Sept. 2007; also Paper E49. Google Scholar[2] Linares R., Crassidis J. L., Jah M. K. and Kim H., “Astrometric and Photometric Data Fusion for Resident Space Object Orbit, Attitude, and Shape Determination Via Multiple-Model Adaptive Estimation,” AIAA Guidance, Navigation, and Control Conference, AIAA, Aug. 2010; also Paper 2010-8341. 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All rights reserved. Copies of this paper may be made for personal or internal use, on condition that the copier pay the $10.00 per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923; include the code 1533-3884/13 and $10.00 in correspondence with the CCC. TopicsApplied MathematicsAsteroidsElementary AlgebraEuropean Space AgencyGeneral PhysicsPlanetary Science and ExplorationPlanetsSpace AgenciesSpace MissionsSpace Science and Technology KeywordsQuaternionsNumerical IntegrationRunge Kutta IntegrationAsteroidsEarthYawSpace Situational AwarenessExtended Kalman FilterIntegration AlgorithmSatellites Received9 April 2012Accepted11 June 2012Published online30 October 2013