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