Lyapunov-based transfer between elliptic Keplerian orbits
Dong Eui Chang - Control and Dynamical Systems 107-81, California Institute of Technology, Pasadena, CA 91125, United States (email)
Abstract: We present a study of the transfer of satellites between elliptic Keplerian orbits using Lyapunov stability theory specific to this problem. The construction of Lyapunov functions is based on the fact that a non-degenerate Keplerian orbit is uniquely described by its angular momentum and Laplace (- Runge-Lenz) vectors. We suggest a Lyapunov function, which gives a feedback controller such that the target elliptic orbit becomes a locally asymptotically stable periodic orbit in the closed-loop dynamics. We show how to perform a global transfer between two arbitrary elliptic orbits based on the local transfer result. Finally, a second Lyapunov function is presented that works only for circular target orbits.
Keywords: Satellite dynamics, feedback stabilization, orbit transfer.
Received: August 2001; Revised: September 2001; Available Online: November 2001.
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