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Testing a fast dynamical indicator: The MEGNO
Authors:N.P. Maffione  C.M. Giordano  P.M. Cincotta
Affiliation:a Facultad de Ciencias Astronómicas y Geofísicas, Universidad Nacional de La Plata, Paseo del Bosque, B1900FWA La Plata, Argentina
b Instituto de Astrofísica de La Plata (CONICET, CCT-La Plata), Paseo del Bosque, B1900FWA La Plata, Argentina
Abstract:To investigate non-linear dynamical systems, like for instance artificial satellites, Solar System, exoplanets or galactic models, it is necessary to have at hand several tools, such as a reliable dynamical indicator.The aim of the present work is to test a relatively new fast indicator, the Mean Exponential Growth factor of Nearby Orbits (MEGNO), since it is becoming a widespread technique for the study of Hamiltonian systems, particularly in the field of dynamical astronomy and astrodynamics, as well as molecular dynamics.In order to perform this test we make a detailed numerical and statistical study of a sample of orbits in a triaxial galactic system, whose dynamics was investigated by means of the computation of the Finite Time Lyapunov Characteristic Numbers (FT-LCNs) by other authors.
Keywords:Non-linear dynamics   Chaos   Lyapunov characteristic number   MEGNO
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