Admissible region methods for initial orbit determination are generally implemented without considering the contributions of uncertainty in observations or observer state when computing the admissible region. In this paper, a generalization of the admissible region approach is introduced that more accurately accounts for uncertainty in the constraint hypothesis parameters used to generate the admissible region. Considering the uncertainty to have Gaussian distributions, the proposed relationship between provided information uncertainty and admissible region uncertainty results directly in an analytical probability distribution function. The methodology is extended to account for admissible regions with multiple overlapping constraint hypotheses. The proposed approach is applied to an example optical detection to demonstrate the quality of the approximation and the sensitivity of the resulting distribution to typical errors.


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    Title :

    Incorporating Uncertainty in Admissible Regions for Uncorrelated Detections




    Publication date :

    2015




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.54 Flugführung
    Local classification TIB:    770/7040



    Incorporating Uncertainty in Admissible Regions for Uncorrelated Detections

    Worthy, Johnny L. / Holzinger, Marcus J. | AIAA | 2014


    Incorporating Uncertainty in Admissible Regions for Uncorrelated Detections

    Worthy, Johnny L. / Holzinger, Marcus J. | AIAA | 2015


    Incorporating Uncertainty in Admissible Regions for Uncorrelated Detections (AIAA 2014-4307)

    Worthy, J.L. / Holzinger, M.J. / American Institute of Aeronautics and Astronautics; American Astronautical Society | British Library Conference Proceedings | 2014