Abstract This paper discusses the predictive capability of Dynamic Mode Decomposition (DMD) in the context of orbital mechanics. The focus is specifically on the Hankel variant of DMD which uses a stacked set of time-delayed observations for system identification and subsequent prediction. A theory on the minimum number of time delays required for accurate reconstruction of periodic trajectories of nonlinear systems is presented and corroborated using experimental analysis. In addition, the window size for training and prediction regions, respectively, is presented. The need for a meticulous approach while using DMD is emphasized by comparing its performance on two candidate satellites, the ISS and MOLNIYA-3-50. Experiments are also presented for quasi-periodic scenarios with applied perturbing forces.


    Zugriff

    Download


    Exportieren, teilen und zitieren



    Titel :

    On the Predictive Capability of Dynamic Mode Decomposition for Periodic Solutions of Nonlinear Systems with Focus on Orbital Mechanics


    Weitere Titelangaben:

    J Astronaut Sci


    Beteiligte:


    Erscheinungsdatum :

    19.05.2025




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    On the Predictive Capability of Dynamic Mode Decomposition for Periodic Solutions of Nonlinear Systems with Focus on Orbital Mechanics

    Narayanan, Sriram / Mohamed, Mohamed Naveed Gul / Nayak, Indranil et al. | Springer Verlag | 2025

    Freier Zugriff

    Relationship between Periodic Solutions of Nonlinear Dynamic Systems

    Liu, H. / Yu, L. / Xie, Y. et al | British Library Online Contents | 1998



    Inverse Tracing of Periodic Solutions for Nonlinear Dynamic Systems

    Liu, H. / Yu, L. / Xie, Y. et al | British Library Online Contents | 1999


    Orbital mechanics

    Chobotov, Vladimir A. | SLUB | 1991