Lyapunov-based transfer between elliptic Keplerian orbits (Q1347806)

The authors study the transfer of a satellite between elliptic Keplerian orbits using Lyapunov stability theory. The authors 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. The authors show how to perform a global transfer between two arbitrary orbits based on the local transfer result. Finally, a second Lyapunov function is presented that works only for circular target orbits.