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
Spacecraft Trajectories and Reentry
Distribution Statement : APPROVED FOR PUBLIC RELEASE