Numerical Integration of Quaternion Kinematics Using Collocation Method

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In many aerospace applications, long-term attitude propagation is frequently involved. Because the integration error accumulates, the accuracy of the integration scheme is more important for the long-term attitude propagation problems. In this study, instead of explicit integration methods that have been extensively employed, the collocation method for the attitude propagation problem is studied to improve numerical integration accuracy. The closed-form solution for the collocation conditions imposed at the collocation points is derived to avoid iterative process in the collocation method. In the derivation, the operational matrix of differentiation and the Legendre-Gauss-Lobatto quadrature rule are used. Through numerical examples, the accuracy of the proposed collocation method is compared with those of the explicit methods.
Publisher
SPRINGER
Issue Date
2019-03
Language
English
Article Type
Article
Citation

INTERNATIONAL JOURNAL OF AERONAUTICAL AND SPACE SCIENCES, v.20, no.1, pp.238 - 248

ISSN
2093-274X
DOI
10.1007/s42405-018-0103-6
URI
http://hdl.handle.net/10203/261488
Appears in Collection
AE-Journal Papers(저널논문)
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