Lyapunov-based transfer between elliptic Keplerian orbits

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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.
Publisher
AMER INST MATHEMATICAL SCIENCES
Issue Date
2002-02
Language
English
Article Type
Article
Citation

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v.2, no.1, pp.57 - 67

ISSN
1531-3492
URI
http://hdl.handle.net/10203/220736
Appears in Collection
EE-Journal Papers(저널논문)
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