Probabilistic Admissible Region for Short-Arc Angles-Only Observations

Abstract

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, resulting 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 probabilistic 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.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2014
Accession Number
ADA616729

Entities

People

  • Christopher W. Roscoe
  • Islam I. Hussein
  • Matthew P. Wilkins
  • Paul W. Schumacher Jr.

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Algorithms
  • Angular Momentum
  • Coordinate Systems
  • Covariance
  • Data Science
  • Eccentricity
  • Grids
  • Information Science
  • Measurement
  • Observation
  • Orbital Elements
  • Probability
  • Space Objects
  • Space Surveillance
  • Standards
  • Statistics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • Space
  • Space - Orbital Debris