Instability times in the HD 181433 exoplanetary system

Author:

Alves Silva R.,Beaugé C.,Ferraz-Mello S.,Cincotta P. M.,Giordano C. M.

Abstract

The present work consists of a study of the dynamical stability of a three-body system that takes advantage of the Shannon entropy approach to estimate the diffusivity (DS) in a Delaunay’s action-like phase space. We outline the main features of a numerical computation of DS from the solutions of the equations of motion and, thereupon, we consider how to estimate a macroscopic instability timescale, τinst, (roughly speaking, the lifetime of the system) associated with a given set of initial conditions. Through such estimates, we are able to characterize the system’s space of initial conditions in terms of its orbital stability by applying numerical integrations to the construction of dynamical maps. We compare these measures of chaotic diffusion with other indicators, first in a qualitative fashion and then more quantitatively, by means of long direct integrations. We address an analysis of a particular, near-resonant system, namely HD 181433, and we show that the entropy may provide a complementary analysis with regard to other dynamical indicators. This work is part of a series of studies devoted to presenting the Shannon entropy approach and its possibilities as a numerical tool providing information on chaotic diffusion and the dynamical stability of multidimensional dynamical systems.

Publisher

EDP Sciences

Subject

Space and Planetary Science,Astronomy and Astrophysics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Chaotic diffusion in the action and frequency domains: estimate of instability times;The European Physical Journal Special Topics;2023-12

2. Estimation of the diffusion time in a triaxial galactic potential;Monthly Notices of the Royal Astronomical Society;2023-09-18

3. Theory and applications of fast Lyapunov indicators to model problems of celestial mechanics;Celestial Mechanics and Dynamical Astronomy;2023-06-19

4. Estimation of diffusion time with the Shannon entropy approach;Physical Review E;2023-06-01

5. Detection of separatrices and chaotic seas based on orbit amplitudes;Celestial Mechanics and Dynamical Astronomy;2023-05-18

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