Abstract
Attitude uncertainty quantification typically requires a small angle assumption, and thus an inherent small uncertainty assumption, to be made. This small angle assumption can be eliminated by employing the Bingham distribution to represent the attitude uncertainty in the attitude quaternion directly. Moreover, an extension to the Bingham distribution, termed the Gauss-Bingham distribution, can be used to represent correlated attitude quaternion and angular velocity uncertainty to enable attitude uncertainty propagation. In order to evaluate the potential accuracy gain using the Gauss-Bingham distribution for attitude uncertainty quantification, the Gauss-Bingham distribution method for attitude uncertainty propagation is compared to the propagation step of the multiplicative extended Kalman filter, which requires a small angle assumption to be made. The attitude uncertainty quantified by each method is discretely sampled and mapped to a common attitude parameterization in order to make accurate comparisons between each method.
Recommended Citation
J. E. Darling and K. J. DeMars, "Analysis of the Gauss-Bingham Distribution for Attitude Uncertainty Propagation," Proceedings of the AAS/AIAA Astrodynamics Specialist Conference (2015, Vail, CO), vol. 156, pp. 1407 - 1426, Univelt Inc., Aug 2016.
Meeting Name
AAS/AIAA Astrodynamics Specialist Conference (2015: Aug. 9-13, Vail, CO)
Department(s)
Mechanical and Aerospace Engineering
Keywords and Phrases
Angular distribution; Astrophysics; Bins; Gaussian distribution; Attitude uncertainty; Bingham; Multiplicative extended kalman filters; Propagation step; Velocity uncertainty; Uncertainty analysis
International Standard Book Number (ISBN)
978-0877036296
International Standard Serial Number (ISSN)
0065-3438
Document Type
Article - Conference proceedings
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2016 Univelt Inc., All rights reserved.
Publication Date
01 Aug 2016
