The Structure of Multi-Body Dynamics Equations.

Abstract

Several alternative formulations for the dynamics of multi-body systems are described. These alternatives include momentum and velocity formulations with decoupling or coupling of constraints. The presentation of equations is facilitated by the introduction of a path matrix and a reference matrix which describe the topology of the n-body configuration. The final equations of motion are obtained from the equations of motion for a single body via the transformation operator formalism. The equations of motion presented herein are compared with ten n-body dynamics formulations in the spacecraft dynamics literature. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1977
Accession Number
ADA044512

Entities

People

  • W. Jerkovsky

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Celestial Mechanics
  • Corporations
  • Couplings
  • Dynamics
  • Engineers
  • Equations
  • Equations Of Motion
  • Language
  • Mechanics
  • Momentum
  • Motion
  • New York
  • Physical Properties
  • Security
  • Spacecraft
  • Topology

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

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