Finite Set Statistics on Manifolds for Space Object Detection, Tracking, Identification and Characterization

Abstract

New statistical methods have been developed to improve the treatment of uncertainty in space situational awareness. First a 'Fisher-Bingham-Kent (FBK)' distribution on the unit sphere has been developed to describe uncertainty in angles-only position for a propagated space object. This distribution has been applied to association problems. Second a new 'adapted structural (AST)' coordinate system has been developed to represent the uncertainty of a state vector. Uncertainty in AST coordinates is approximately Gaussian under a wide set of circumstances and this property facilitates the construction of an unscented Kalmanlter for the filtering problem.

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Document Details

Document Type
Technical Report
Publication Date
Aug 20, 2018
Accession Number
AD1058286

Entities

People

  • Islam Hussein
  • John T. Kent

Organizations

  • University of Leeds

Tags

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Algorithms
  • Artificial Satellites
  • Coordinate Systems
  • Data Science
  • Debris
  • Information Science
  • Kalman Filters
  • Situational Awareness
  • Space Debris
  • Space Flight
  • Space Objects
  • Space Situational Awareness
  • Statistical Algorithms
  • Statistics
  • Universities

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Vision.
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space
  • Space - Space Objects