GRAVITY GRADIENT EXCITATION OF A ROTATING CABLE-COUNTERWEIGHT SPACE STATION IN ORBIT

Abstract

The gravity gradient excitation of a whirling cable-counterweight space station in orbit is investigated. The Lagrange's equations of motion for transverse oscillations of the system are derived and shown to be of the Mathieu type. A few representative cases are solved on an IBM 7090 computer for the cable's natural frequencies, which are required in the stability criteria derived. The stability criteria for the axial vibrations are derived in an appendix and shown to be of the same kind as those for the transverse vibrations of the cable. Damping is included in the analyses and found to be effective and essential for prevention of parametric excitation instability of the system.

Document Details

Document Type
Technical Report
Publication Date
Jan 11, 1963
Accession Number
AD0297871

Entities

People

  • V. Chobotov

Organizations

  • The Aerospace Corporation

Tags

DTIC Thesaurus Topics

  • Computers
  • Equations
  • Equations Of Motion
  • Excitation
  • Frequency
  • Frequency Shift
  • Instability
  • Mechanical Waves
  • Motion
  • Oscillation
  • Resonant Frequency
  • Space Stations
  • Transverse
  • Vibration
  • Waves

Fields of Study

  • Physics

Readers

  • Aerospace Engineering.
  • Control Systems Engineering.

Technology Areas

  • Space
  • Space - Orbital Debris