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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.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Shevchenko, II, Kouprianov, VV & Melnikov, AV 2003, 'Chaotic Asteroidal Dynamics and Maximum Lyapunov Exponents', Solar System Research, Том. 37, № 1, стр. 74-82. https://doi.org/10.1023/A:1022356023679

APA

Shevchenko, I. I., Kouprianov, V. V., & Melnikov, A. V. (2003). Chaotic Asteroidal Dynamics and Maximum Lyapunov Exponents. Solar System Research, 37(1), 74-82. https://doi.org/10.1023/A:1022356023679

Vancouver

Shevchenko II, Kouprianov VV, Melnikov AV. Chaotic Asteroidal Dynamics and Maximum Lyapunov Exponents. Solar System Research. 2003 Янв. 1;37(1):74-82. https://doi.org/10.1023/A:1022356023679

Author

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.

BibTeX

@article{11d88a78322448379cbe0c6d14ece3f8,
title = "Chaotic Asteroidal Dynamics and Maximum Lyapunov Exponents",
abstract = "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.",
author = "Shevchenko, {I. I.} and Kouprianov, {V. V.} and Melnikov, {A. V.}",
year = "2003",
month = jan,
day = "1",
doi = "10.1023/A:1022356023679",
language = "English",
volume = "37",
pages = "74--82",
journal = "Solar System Research",
issn = "0038-0946",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "1",

}

RIS

TY - JOUR

T1 - Chaotic Asteroidal Dynamics and Maximum Lyapunov Exponents

AU - Shevchenko, I. I.

AU - Kouprianov, V. V.

AU - Melnikov, A. V.

PY - 2003/1/1

Y1 - 2003/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037283551&partnerID=8YFLogxK

U2 - 10.1023/A:1022356023679

DO - 10.1023/A:1022356023679

M3 - Article

AN - SCOPUS:0037283551

VL - 37

SP - 74

EP - 82

JO - Solar System Research

JF - Solar System Research

SN - 0038-0946

IS - 1

ER -

ID: 45989316