GEOMETRICAL PROPERTIES IN STATE SPACE OF LINEAR DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS.
TORONTO UNIV (ONTARIO) INST FOR AEROSPACE STUDIES
Pagination or Media Count:
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
- Theoretical Mathematics
- Unmanned Spacecraft
- Spacecraft Trajectories and Reentry