Characterization of Non-Linearized Spacecraft Relative Motion using Nonlinear Normal Modes

Abstract

Characterize the nonlinear dynamics for large amplitude relative motion in the Hill frame (or curvilinear frame) in terms of Nonlinear Normal Modes for the case of a circular chief orbit. Characterize the nonlinear dynamics for nonlinear translational rotational coupling of relative motion in terms of Nonlinear Normal Modes. Characterize the nonlinear dynamics for an elliptic Keplerian chief orbit in terms of time periodic Nonlinear Normal Modes using the Liapunov-Floquet transformation. If time permits, investigate the relative navigation problem in the Nonlinear Normal Modes NNMs framework, using the strategies outlined above.

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Document Details

Document Type
Technical Report
Publication Date
Apr 20, 2016
Accession Number
AD1008779

Entities

People

  • Eric A. Butcher

Organizations

  • University of Arizona

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Amplitude
  • Cartesian Coordinates
  • Dynamics
  • Equations
  • Equations Of Motion
  • Kalman Filters
  • Navigation
  • Nonlinear Dynamics
  • Nonlinear Systems
  • Orbital Elements
  • Relative Motion
  • Shape
  • Spacecraft
  • Spacecraft Components
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.

Technology Areas

  • Space
  • Space - Orbital Debris
  • Space - Spacecraft Maneuvers