AbstractA new algorithm named the numerical algebra solution for the state transition matrix is proposed in this paper. The objective of the solution is to yield a comparable accuracy of the trajectory at the least computational cost. To validate it, the time consumption and accuracy performance of the numerical algebra solution are compared with those of the numerical integration and difference quotient method for both the real-time and post-processed orbit determination. Simulation results with the measurement noise only show that the time consumption of the numerical algebra solution accounts for about 60% and 40% of the numerical integration method for the real-time and post processing, respectively. Furthermore, the maximum position RMS difference of the numerical algebra solution with respect to the numerical integration method is about 1.04mm and 0.01mm for the real-time and post processing, while the position error of the numerical integration method is about 1.20m and 0.30mm, respectively. These accuracy performances demonstrate that the difference between the numerical algebra and integration solution is indistinguishable and can be accepted in the orbit determination. Advantageously, the numerical algebra solution can improve the computational efficiency greatly, which is particularly important for the real-time orbit determination.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Numerical Algebra Solution: A New Algorithm for the State Transition Matrix


    Beteiligte:
    Nie, Wenfeng (Autor:in) / Xu, Tianhe (Autor:in) / Du, Yujun (Autor:in) / Gao, Fan (Autor:in) / Xu, Guochang (Autor:in)

    Erschienen in:

    Advances in Space Research ; 60 , 12 ; 2620-2629


    Erscheinungsdatum :

    2017-02-27


    Format / Umfang :

    10 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch





    Matrices and Matrix Algebra

    Hoblit, Frederic M. | AIAA | 1988


    An Elegant State Transition Matrix

    Der, Gim J. | Online Contents | 1997


    An Elegant State Transition Matrix

    Der, Gim J. | Online Contents | 1997


    An Elegant State Transition Matrix

    Der, G. / American Institute of Aeronautics and Astronautics / American Astronautical Society | British Library Conference Proceedings | 1996