Admissible Regions and Uncertainty

Graduate Student Johnny Worthy's journal article titled Incorporating Uncertainty in Admissible Regions for Uncorrelated Detections
has been published by the AIAA Journal of Guidance, Dynamics, and Controls. Johnny is a National Science Foundation Graduate Research Fellow. Please join me in congratulating Johnny on his hard work! The full abstract is below.

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.