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) : Hughes,P. C.

Report Date : JUL 1968

Pagination or Media Count : 41

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)

Descriptors :   (*DIFFERENTIAL EQUATIONS, ALGEBRAIC GEOMETRY), (*SATELLITE ATTITUDE, STABILITY), PERIODIC VARIATIONS, LINEAR SYSTEMS, EQUATIONS OF MOTION, ELLIPTICAL ORBIT TRAJECTORIES, ATTITUDE CONTROL SYSTEMS, HELICOPTER ROTORS, INVARIANCE, CANADA

Subject Categories : Theoretical Mathematics
      Unmanned Spacecraft
      Spacecraft Trajectories and Reentry

Distribution Statement : APPROVED FOR PUBLIC RELEASE