Angles Only Initial Orbit Determination: Comparison of Relative Dynamics and Inertial Dynamics Approaches with Error Analysis

Abstract

This paper investigates methods based on relative orbital dynamics to determine the motion of a space object using line-of-sight measurements collected by a space-based observer. The so-called "initial relative orbit determination" methods are typically applied to scenarios involving close proximity between the observer and the space object, i.e. scenarios in which the observer and space object are in very similar orbits. However, these methods are mathematically applicable to larger separation scenarios in which the observer and space object are in very different orbits. Previous work demonstrated an initial relative orbit determination algorithm that incorporates a closed-form relative motion solution with second order accuracy. This paper introduces a similar algorithm incorporating a third-order solution and compares its performance to the second-order method over various simulated test cases involving different observer-object scenarios. In particular, the sensitivity of these algorithms to measurement error and measurement sample rate is explored.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2018
Accession Number
AD1121938

Entities

People

  • Alex E. Sizemore
  • Bradyn W. Morton
  • K. R. Horneman
  • T. A. Lovell

Organizations

  • Air Force Research Laboratory
  • Missouri University of Science and Technology
  • National Research Council
  • University of Kansas

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Algebraic Geometry
  • Algorithms
  • Applied Mathematics
  • Artificial Satellites
  • Differential Equations
  • Equations
  • Errors
  • Geometry
  • Line Of Sight
  • Measurement
  • Orbits
  • Relative Motion
  • Rendezvous
  • Resident Space Objects
  • Space Based
  • Space Flight
  • Space Objects
  • Spacecraft
  • Trajectories

Readers

  • Computational Modeling and Simulation
  • Computer Vision.
  • Control Systems Engineering.

Technology Areas

  • Space
  • Space - Orbital Debris
  • Space - Space Objects