The formulation of a recursive maximum likelihood navigation system employing reference position and velocity vectors as state variables is presented. Convenient forms of the required variational equations of motion are developed together with an explicit form of the associated state transition matrix needed to refer measurement data from the measurement time to the epoch time. Computational advantages accrue from this design in that the usual forward extrapolation of the covariance matrix of estimation errors can be avoided without incurring unacceptable system errors. Simulation data for earth orbiting satellites are provided to substantiate this assertion.


    Access

    Access via TIB

    Check availability in my library


    Export, share and cite



    Title :

    The epoch state navigation filter


    Contributors:

    Conference:

    Astrodynamics Specialist Conference


    Publication date :

    1977-09-01


    Type of media :

    Conference paper


    Type of material :

    No indication


    Language :

    English


    Keywords :


    The Epoch State Navigation Filter

    Richard H. Battin / Steven R. Croopnick / Joan E. Lenox | AIAA | 1978


    The Epoch-State Filter, Revisited

    Carpenter, J. Russell | AIAA | 2023


    X-Ray Pulsar-Based Relative Navigation using Epoch Folding

    Emadzadeh, Amir A. / Speyer, Jason L. | IEEE | 2011


    Linear Covariance Analysis and Epoch State Estimators

    Markley, F. Landis | Online Contents | 2014


    Linear Covariance Analysis and Epoch State Estimators

    Markley, F. Landis / Carpenter, J. Russell | Online Contents | 2012