Incorporating Uncertainty in Admissible Regions for Uncorrelated Detections

作者：Worthy Johnny L III^*; Holzinger Marcus J

来源：Journal of Guidance, Control, and Dynamics, 2015, 38(9): 1673-1689.

DOI：10.2514/1.G000890

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.

• 出版日期2015-9