Probabilistic Admissible Region for Short-Arc Angles-Only Observations
Islam I. Hussein, Christopher W. T. Roscoe, Paul W. Schumacher, Matthew P. Wilkins · 2014
The admissible region is defined as the set of physically acceptable orbits (i.e., orbits with negative energies). Given additional constraints on orbital semi-major axis, eccentricity, etc, the admissible region is further constrained, result-ing in the constrained admissible region (CAR). Based on known statistics of the measurement process, in this paper we replace hard constraints with a probabilistic representation of the admissible region. This results in the probabilis-tic admissible region (PAR) that can be used for orbit initiation in Bayesian tracking. While this is a general concept that is applicable to any measurement scenario, we will illustrate the idea using a short-arc, angles-only observation scenario. 1.