NEO Orbits and Nonlinear Dynamics: A Brief Overview and Interpretations

Details NEO Orbits and Nonlinear Dynamics: A Brief Overview and Interpretations NEO Orbits and Nonlinear Dynamics: A Brief Overview and Interpretations

May 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997nyasa.822..176r&link_type=abstract

Near-Earth Objects, the United Nations International Conference: Proceedings of the international conference held April 24-26, 1

Statistics

Computation

Hamiltonian Functions, Space Rendezvous, Nonlinearity, Absorption Cross Sections, Resonance, Planets

Scientific paper

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.

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