This paper presents a method for modeling and simulation of Global Navigation Satellite System (GNSS) constellations by the use of Chebyshev polynomials fit to publicly available precision data. The Global Positioning System (GPS) is used to demonstrate the method, but the method applies to all GNSS with precise ephemeris data including Galileo and GLONASS. The method facilitates highly accurate satellite orbit and clock modeling, including relativistic effects, with mean fit differences of the order 10 4    m in position, 10 8    m / s in velocity, and 10 4 microseconds in clock offset. The method also improves simulation run time by using a fast technique for evaluating the Chebyshev polynomials. Runtime comparisons demonstrate the polynomial method reduces runtime by up to 72% of more traditional methods. The speed of the method makes it well suited for practical, accurate Monte Carlo simulation techniques. The method can be used in simulations for the verification and validation of GNSS receivers embedded in autonomous aerospace navigation systems, for uncertainty analysis, and for other purposes. Details for validating the precision data are given. Pseudocode algorithms are provided for fitting and evaluating Chebyshev polynomials. Also provided are high-level concepts of one approach for integrating the method into larger, multisystem aerospace simulations, including the effects of signal propagation delay and Earth blockage.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Efficient, High-Fidelity Modeling and Simulation of Global Navigation Satellite System Constellations


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    01.09.2021




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch





    Optimum Satellite Constellations for Civilian Navigation Use

    Sams, M. / Mahooti, S. / Hua, Q. et al. | British Library Conference Proceedings


    LEO Constellations Satellite Selection Methods for Navigation Satellite Failure

    XUE Wen / JIA Zhangmin / GUO Wen et al. | DOAJ | 2025

    Freier Zugriff


    Satellite Constellations for Future Global Navigation Systems: Design and Comparison of Solutions

    Janniere, P. / Lansard, E. / International Astronautical Federation | British Library Conference Proceedings | 1994