ON THE GRAVITATIONAL EXCITATION OF AN EXTENSIBLE DUMBBELL SATELLITE,

Abstract

The nonlinear differential equations which describe the extensional motion of a freely spinning and gravitationally stabilized spring-mass system in the plane of an orbit are presented, linearized, and solved analytically and on a digital computer. The linearization leads to the Mathieu equation for the spinning system and to a set of two degree-of-freedom coupled equations for the gravitationally stabilized case. The solutions for the undamped systems indicate stable periodic and almost periodic oscillations characterized by beats. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1966
Accession Number
AD0644274

Entities

People

  • V. Chobotov

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Computers
  • Differential Equations
  • Digital Computers
  • Equations
  • Excitation
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Oscillation

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers