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NEO Orbits and Nonlinear Dynamics: A Brief Overview and Interpretations
Author(s) -
REMO JOHN L.
Publication year - 1997
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1997.tb48342.x
Subject(s) - nonlinear system , spacecraft , nonlinear dynamical systems , rendezvous , hamiltonian (control theory) , fuzzy logic , computer science , physics , classical mechanics , statistical physics , theoretical physics , mathematics , mathematical optimization , artificial intelligence , astronomy , quantum mechanics
The development of nonlinear dynamics is outlined with emphasis on the concepts leading to the development of a numerical technique known as “fuzzy boundary theory” or FBT. Origins of this methodology are a direct outgrowth of concepts derived from the Hamiltonian formulation, KAM theory, and “Mather regions.” The significance of FBT as a computational methodology for NEO studies includes the weak capture and fast resonance shifting applied to NEO orbits and spacecraft rendezvous as described by a paper by Belbruno in this volume. Further implications of the FBT methodology suggest that some NEO capture cross‐sections with planetary bodies may have to be recomputed.