Introductory remarks on chaoticity in dynamics and orbit mechanics

Details Introductory remarks on chaoticity in dynamics and orbit mechanics Introductory remarks on chaoticity in dynamics and orbit mechanics

Aug 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992asdy.conf.1705s&link_type=abstract

IN: Astrodynamics 1991; Proceedings of the AAS/AIAA Astrodynamics Conference, Durango, CO, Aug. 19-22, 1991. Pt. 3 (A92-43251 18

Mathematics

Dynamical Systems

Astrodynamics, Chaos, Dynamical Systems, Orbital Mechanics, Liapunov Functions, Power Spectra, Three Body Problem

Scientific paper

Deterministic dynamical systems are considered where chaoticity is associated with high sensitivity to small changes in the initial conditions. It is shown that, if the initial conditions, the equations of motion, and their solutions are not known for regions of the phase space where instablity is considerable, the motion becomes unpredictable and chaotic. The extent of chaoticity is evaluated by Liapunov's characteristic numbers, Poincare's surface of sections, Fourier power spectra, and, for undamped systems, by the measure of irreversibility.

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