Chaotic Asteroidal Dynamics and Maximum Lyapunov Exponents

I. I. Shevchenko, V. V. Kouprianov, A. V. Melnikov

Результат исследований: Научные публикации в периодических изданияхстатья

1 цитирование (Scopus)

Выдержка

This paper describes the results of studies of dynamical chaos in the problem of the orbital dynamics of asteroids near the 3 : 1 mean-motion resonance with Jupiter. Maximum Lyapunov characteristic exponents (MLCEs) are used as an indicator and a measure of the chaoticity of motion. MLCE values are determined for trajectories calculated by the numerical integration of equations of motion in the planar elliptical restricted three-body problem. The dependence of the MLCE on the problem parameters and on the initial data is analyzed. The inference is made that the domain of chaos in the phase space of the problem considered consists of two components of different nature. The values of the MLCEs observed for one of the components (namely, for the component corresponding to low-eccentricity asteroidal orbits) are compared to the theoretical estimates obtained within the framework of model of the resonance as a perturbed nonlinear pendulum.

Язык оригиналаанглийский
Страницы (с-по)74-82
Число страниц9
ЖурналSolar System Research
Том37
Номер выпуска1
DOI
СостояниеОпубликовано - 1 янв 2003

Отпечаток

chaotic dynamics
exponents
eccentricity
Jupiter
asteroid
chaos
trajectory
three body problem
pendulums
asteroids
numerical integration
Jupiter (planet)
inference
equations of motion
trajectories
orbits
orbitals
estimates
indicator
parameter

Предметные области Scopus

  • Астрономия и астрофизика
  • Космические науки и планетоведение

Цитировать

Shevchenko, I. I. ; Kouprianov, V. V. ; Melnikov, A. V. / Chaotic Asteroidal Dynamics and Maximum Lyapunov Exponents. В: Solar System Research. 2003 ; Том 37, № 1. стр. 74-82.
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Chaotic Asteroidal Dynamics and Maximum Lyapunov Exponents. / Shevchenko, I. I.; Kouprianov, V. V.; Melnikov, A. V.

В: Solar System Research, Том 37, № 1, 01.01.2003, стр. 74-82.

Результат исследований: Научные публикации в периодических изданияхстатья

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