GEOMETRICAL PROPERTIES IN STATE SPACE OF LINEAR DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS.

Abstract

In an attempt to more completely visualize the solution vector to a system of linear differential equations with periodic coefficients, geometrical properties in state-time space are derived in detail for second order systems. The solution vector is found to be on a surface which is periodic in time and whose cross-section is elliptic. The connection between these surfaces and Liapunov stability is pointed out. An example is discussed in the area of satellite attitude dynamics. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1968
Accession Number
AD0673879

Entities

People

  • P. C. Hughes

Organizations

  • University of Toronto

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Coefficients
  • Differential Equations
  • Dynamics
  • Equations
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Satellite Orientation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Systems Analysis and Design

Technology Areas

  • Space
  • Space - Orbital Debris