Testing a Fast Dynamical Indicator: The MEGNO

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.

25 pages, 35 figures

References in corpus (2)

• Long term stability and dynamical environment of the PSR 1257+12 planetary system
• Are retrograde resonances possible in multi-planet systems?

Cited by in corpus (14)

• Free motion around black holes with discs or rings: between integrability and chaos - II
• A comparison of different indicators of chaos based on the deviation vectors. Application to symplectic mappings
• Chaos detection tools: application to a self-consistent triaxial model
• Tess asteroseismology of the known planet host star ${\lambda }^2$ Fornacis
• Analysis of Round Off Errors with Reversibility Test as a Dynamical Indicator
• Comparative study of variational chaos indicators and ODEs' numerical integrators
• On the relevance of chaos for halo stars in the Solar Neighbourhood
• On the relevance of chaos for halo stars in the solar neighbourhood II
• Free motion around black holes with discs or rings: between integrability and chaos -- V
• On the 3D secular dynamics of radial-velocity-detected planetary systems
• Determining the nature of orbits in disk galaxies with non spherical nuclei
• Nauyaca: a new tool to determine planetary masses and orbital elements through transit timing analysis
• Uncovering the Rapidly Evolving Orbits of the Dynamic TOI-201 System
• Breaking the Mass Inclination Degeneracy of Radial Velocity Measurements via Monitoring von Zeipel-Lidov-Kozai Cycles: Implications in the HD 41004 System