A direct analysis and control of nonlinear time-variant spacecraft dynamics in the vicinity of small irregularly shaped bodies

My latest article published in the Nonlinear Dynamics journal implements a multi-faceted methodology
that relies on Floquet theory, invariant center manifold reduction and normal forms simplification to analyze and control orbital motion in the vicinity of small irregular-shaped bodies. This research overcomes known analytical limitations and further obtains more accurate closed-form analytical solutions in a lucid and broadly applicable manner. The formulated approach is applied in the analysis and control of motion in the vicinity of asteroid 4179 Toutatis.

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