Abstract
Quantitative as well as qualitative results dealing with stochastic stability of a satellite influenced by aerodynamic and gravity gradient torques are presented. In particular, parameter regions denoting that the solution process is stable with probability one are found, along with estimates of the probability of convergence to equilibrium positions. The atmospheric density uncertainty introduces the randomness into the system. Stochastic Liapunov functions are used to obtain the stability results, and probability estimates of convergence to equilibrium positions are found by applying supermartingale inequalities. As a prelude of the satellite application, a heuristic explanation of the theory of stochastic Liapunov functions and the techniques of applying this theory to design problems are presented. A complete treatment of the satellite application with its impact on design considerations is provided.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
