Osculating Keplerian Elements for Highly Non-Keplerian Orbits

Abstract

This report presents a mapping between the elements of highly non-Keplerian orbits and classical orbital elements. Three sets of elements are discussed and mappings are derived in closed, analytical form for both the direct and inverse problem. Advantages and drawbacks of the use of each set of elements are discussed. A sensitivity analysis is performed on all mappings presented. The spacecraft thrust-induced acceleration used to generate families of highly non-Keplerian orbits is extracted from the inverse mapping from the osculating orbital elements. The key signatures of highly non-Keplerian orbits in Keplerian elements tracking data are determined through a set of representative test cases.

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Document Details

Document Type
Technical Report
Publication Date
Mar 27, 2017
Accession Number
AD1031622

Entities

People

  • Alessandro Peloni
  • Colin R. McInnes
  • Matteo Ceriotti

Organizations

  • University of Glasgow

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Angular Momentum
  • Apogees
  • Artificial Satellites
  • Case Studies
  • Celestial Mechanics
  • Circular Orbits
  • Electric Propulsion
  • Engineers
  • Equations
  • Equations Of Motion
  • Geometry
  • Geosynchronous Orbits
  • Global Positioning Systems
  • Mechanical Engineering
  • Orbital Elements
  • Propulsion Systems
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Astronomy/Astrophysics
  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space
  • Space - Orbital Debris