The KS Method in Light of Generalized Euler Parameters.

Abstract

The equation of motion for the restricted two-body problem is transformed via the Kustaanheimo-Stiefel transformation method (KS) into a dynamical equation in the standard four-space representation. Pure rotations about an arbitrary axis are introduced using the Euler parameters which are then generalized to include dilations. Kinematic equations in the generalized Euler representation are compared to the dynamical equations of the KS representation giving a simple interpretation of the latter. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA082692

Entities

People

  • R. N. Dewitt

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Born Approximations
  • Classification
  • Coordinate Systems
  • Elliptical Orbits
  • Energy
  • Equations
  • Equations Of Motion
  • Gravitational Fields
  • Integral Equations
  • Perturbations
  • Potential Energy
  • Rotation
  • Security
  • Standards
  • Technical Information Centers

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers