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On higher order integration of angular velocities using quaternionsZupan, Eva ; Zupan, Dejan, mehanikIn the present paper the integration of angular velocities is studied. Both exact and approximate results are expressed in terms of rotational quaternions. Analytical solution is found using the ... theory of analytic differential systems. This exact solution serves as a suitable basis for derivation of various numerical methods. Approximative approaches based on Taylor series and several maps from pure to unit quaternions are presented. A special care is taken in describing the higher order approximations. The computational performance and comparison of numerical methods is demonstrated by examples.Source: Mechanics Research Communications. - ISSN 0093-6413 (Letn. 55, jan. 2014, str. 77-85)Type of material - article, component part ; adult, seriousPublish date - 2014Language - englishCOBISS.SI-ID - 6429793
Author
Zupan, Eva |
Zupan, Dejan, mehanik
Topics
kotna hitrost |
rotacijski kvaternioni |
analitične rešitve |
približki rešitev |
kvaterionski eksperiment |
približki viškega reda |
angular velocity |
rotational quaternion |
analytical solutions |
approximative solutions |
quaternion exponential |
higher-order approximations
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Zupan, Eva | 27673 |
Zupan, Dejan, mehanik | 19121 |
Source: Personal bibliographies
and: SICRIS
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