J2 Dynamics and Formation Flight
W. S. Koon, J. E. Marsden, J. Masdemont and R. M. Murray
Submitted, 2001 AIAA Guidance, Navigation and Control Conference
We study the dynamics of the relative motion of
satellites in the gravitational field of the Earth, including
the effects of the bulge of the Earth (the $J_2$ effect). Using
Routh reduction and dynamical systems ideas, a method is found
that locates orbits such that the cluster of satellites remains
close with very little dispersing, even with no controls. The use of
controls in the context of this natural dynamics is studied to maintain and
achieve precision formations.
Conference
Paper (8 pages, PDF, 294K)
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Richard Murray
(murray@cds. caltech.edu)