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dc.contributor.authorAmato, Davide
dc.contributor.authorBombardelli, Claudio
dc.contributor.authorBaù, Giulio
dc.contributor.authorMorand, Vincent
dc.contributor.authorRosengren, Aaron J.
dc.date.accessioned2019-06-13T21:34:32Z
dc.date.available2019-06-13T21:34:32Z
dc.date.issued2019-05
dc.identifier.citationAmato, D., Bombardelli, C., Baù, G. et al. Celest Mech Dyn Astr (2019) 131: 21. https://doi.org/10.1007/s10569-019-9897-1en_US
dc.identifier.issn0923-2958
dc.identifier.issn1572-9478
dc.identifier.doi10.1007/s10569-019-9897-1
dc.identifier.urihttp://hdl.handle.net/10150/632892
dc.description.abstractThis paper is concerned with the comparison of semi-analytical and non-averaged propagation methods for Earth satellite orbits. We analyze the total integration error for semi-analytical methods and propose a novel decomposition into dynamical, model truncation, short-periodic, and numerical error components. The first three are attributable to distinct approximations required by the method of averaging, which fundamentally limit the attainable accuracy. In contrast, numerical error, the only component present in non-averaged methods, can be significantly mitigated by employing adaptive numerical algorithms and regularized formulations of the equations of motion. We present a collection of non-averaged methods based on the integration of existing regularized formulations of the equations of motion through an adaptive solver. We implemented the collection in the orbit propagation code THALASSA, which we make publicly available, and we compared the non-averaged methods with the semi-analytical method implemented in the orbit propagation tool STELA through numerical tests involving long-term propagations (on the order of decades) of LEO, GTO, and high-altitude HEO orbits. For the test cases considered, regularized non-averaged methods were found to be up to two times slower than semi-analytical for the LEO orbit, to have comparable speed for the GTO, and to be ten times as fast for the HEO (for the same accuracy). We show for the first time that efficient implementations of non-averaged regularized formulations of the equations of motion, and especially of non-singular element methods, are attractive candidates for the long-term study of high-altitude and highly elliptical Earth satellite orbits.en_US
dc.description.sponsorshipEuropean Commission's Framework Programme 7, through the Stardust Marie Curie Initial Training Network, FP7-PEOPLE-2012-ITN [317185]en_US
dc.language.isoenen_US
dc.publisherSPRINGERen_US
dc.relation.urlhttp://link.springer.com/10.1007/s10569-019-9897-1en_US
dc.rights© Springer Nature B.V. 2019en_US
dc.subjectNumerical methodsen_US
dc.subjectRegularizationen_US
dc.subjectSpecial perturbationsen_US
dc.subjectSemi-analytical methodsen_US
dc.titleNon-averaged regularized formulations as an alternative to semi-analytical orbit propagation methodsen_US
dc.typeArticleen_US
dc.contributor.departmentUniv Arizona, Dept Aerosp & Mech Engnen_US
dc.identifier.journalCELESTIAL MECHANICS & DYNAMICAL ASTRONOMYen_US
dc.description.note12 month embargo; published online: 21 May 2019en_US
dc.description.collectioninformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.en_US
dc.eprint.versionFinal accepted manuscripten_US
dc.source.journaltitleCelestial Mechanics and Dynamical Astronomy
dc.source.volume131
dc.source.issue5


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