Title :
Stability of the nonlinear motions of a satellite
Author :
Chattergy, Rahul
Author_Institution :
Hawaii Univ., Honolulu, HI, USA
Abstract :
The libration of an extensible dumbbell satellite in a circular Earth orbit is given by a pair of nonlinear second-order ordinary differential equations. Stability of the paths about the origin of the phase space is analyzed by Lyapunov´s indirect method. It is also shown that ad hoc assumptions commonly used to transform the nonlinear equations into linear equations do not produce reliable stability criterion for libration
Keywords :
Lyapunov methods; aerospace control; artificial satellites; motion control; nonlinear differential equations; phase space methods; stability; Lyapunov indirect method; artificial satellite; circular Earth orbit; extensible dumbbell satellite; libration; nonlinear motions; nonlinear second-order differential equations; phase space; stability; Ear; Earth; Nonlinear equations; Nonlinear systems; Satellites; Springs; Stability analysis; Stability criteria; Steady-state; Transforms;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.533812
