Validated semi-analytical transition matrices for linearized relative spacecraft dynamics via Chebyshev series appproximations

Paulo Ricardo Arantes Gilz 1 Florent Bréhard 1, 2, 3 Clément Gazzino 1
1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
LAAS - Laboratoire d'analyse et d'architecture des systèmes [Toulouse]
2 ARIC - Arithmetic and Computing
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
3 PLUME - Preuves et Langages
LIP - Laboratoire de l'Informatique du Parallélisme
Abstract : We provide an efficient generic algorithm to compute validated approximations of transition matrices of linear time-variant systems using Chebyshev expansions, and apply it to two different examples of relative motion of satellites (spacecraft rendezvous with Tschauner-Hempel equations and geostationary station keeping with J2 perturbation in the linearized Orange model).
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Conference papers
2018 Space Flight Mechanics Meeting, AIAA Science and Technology Forum and Exposition 2018, Jan 2018, Kissimmee, United States. 24p., 2018
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Submitted on : Thursday, June 15, 2017 - 7:50:59 PM
Last modification on : Monday, November 27, 2017 - 1:10:56 AM

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Paulo Ricardo Arantes Gilz, Florent Bréhard, Clément Gazzino. Validated semi-analytical transition matrices for linearized relative spacecraft dynamics via Chebyshev series appproximations. 2018 Space Flight Mechanics Meeting, AIAA Science and Technology Forum and Exposition 2018, Jan 2018, Kissimmee, United States. 24p., 2018. 〈hal-01540170〉

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