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arXiv · 1108.5481

Testing a Fast Dynamical Indicator: The MEGNO

Nicolas Maffione·Claudia Giordano·Pablo Cincotta
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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.

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Nicolas Maffione, Claudia Giordano, Pablo Cincotta. 2011-08-27. Testing a Fast Dynamical Indicator: The MEGNO. https://doi.org/10.1016/j.ijnonlinmec.2010.06.008

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