Accession Number:

AD0673879

Title:

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

Descriptive Note:

Technical note,

Corporate Author:

TORONTO UNIV (ONTARIO) INST FOR AEROSPACE STUDIES

Personal Author(s):

Report Date:

1968-07-01

Pagination or Media Count:

41.0

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

Subject Categories:

  • Theoretical Mathematics
  • Unmanned Spacecraft
  • Spacecraft Trajectories and Reentry

Distribution Statement:

APPROVED FOR PUBLIC RELEASE