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

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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Preprints, Working Papers, ...
2017
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https://hal.archives-ouvertes.fr/hal-01540170
Contributor : Florent Bréhard <>
Submitted on : Thursday, June 15, 2017 - 7:50:59 PM
Last modification on : Saturday, June 17, 2017 - 1:20:44 AM

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  • HAL Id : hal-01540170, version 1

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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. 2017. <hal-01540170>

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