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Intermittent trajectories in the 3/1 Jovian resonance. / Shevchenko, I. I.; Scholl, H.

в: Celestial Mechanics and Dynamical Astronomy, Том 68, № 2, 01.01.1997, стр. 163-175.

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

Harvard

Shevchenko, II & Scholl, H 1997, 'Intermittent trajectories in the 3/1 Jovian resonance', Celestial Mechanics and Dynamical Astronomy, Том. 68, № 2, стр. 163-175. https://doi.org/10.1023/A:1008215810399

APA

Shevchenko, I. I., & Scholl, H. (1997). Intermittent trajectories in the 3/1 Jovian resonance. Celestial Mechanics and Dynamical Astronomy, 68(2), 163-175. https://doi.org/10.1023/A:1008215810399

Vancouver

Shevchenko II, Scholl H. Intermittent trajectories in the 3/1 Jovian resonance. Celestial Mechanics and Dynamical Astronomy. 1997 Янв. 1;68(2):163-175. https://doi.org/10.1023/A:1008215810399

Author

Shevchenko, I. I. ; Scholl, H. / Intermittent trajectories in the 3/1 Jovian resonance. в: Celestial Mechanics and Dynamical Astronomy. 1997 ; Том 68, № 2. стр. 163-175.

BibTeX

@article{1e12be2bd35e4816a33e7e917da9615a,
title = "Intermittent trajectories in the 3/1 Jovian resonance",
abstract = "The statistical behaviour of intermittent trajectories at the 3/1 resonance is investigated. The elliptic planar restricted three-body problem is used as a model. Distribution functions for time intervals D between eccentricity bursts are obtained and theoretically interpreted. For smaller values of D, the distribution is found to be of Poisson type, while in its tail it is described by a power law Dα. This change in the distribution occurs for values of D in the range 105-106 Jupiter periods. The power-law index α for the integral distributions lies in the range (-2,-1) and is trajectory dependent. The algebraic decay in the tails of the distributions is explained by the phenomenon of sticking of orbits to the chaos border during long intervals between bursts.",
keywords = "Asteroids, Mapping, Resonances",
author = "Shevchenko, {I. I.} and H. Scholl",
year = "1997",
month = jan,
day = "1",
doi = "10.1023/A:1008215810399",
language = "English",
volume = "68",
pages = "163--175",
journal = "Celestial Mechanics and Dynamical Astronomy",
issn = "0923-2958",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Intermittent trajectories in the 3/1 Jovian resonance

AU - Shevchenko, I. I.

AU - Scholl, H.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - The statistical behaviour of intermittent trajectories at the 3/1 resonance is investigated. The elliptic planar restricted three-body problem is used as a model. Distribution functions for time intervals D between eccentricity bursts are obtained and theoretically interpreted. For smaller values of D, the distribution is found to be of Poisson type, while in its tail it is described by a power law Dα. This change in the distribution occurs for values of D in the range 105-106 Jupiter periods. The power-law index α for the integral distributions lies in the range (-2,-1) and is trajectory dependent. The algebraic decay in the tails of the distributions is explained by the phenomenon of sticking of orbits to the chaos border during long intervals between bursts.

AB - The statistical behaviour of intermittent trajectories at the 3/1 resonance is investigated. The elliptic planar restricted three-body problem is used as a model. Distribution functions for time intervals D between eccentricity bursts are obtained and theoretically interpreted. For smaller values of D, the distribution is found to be of Poisson type, while in its tail it is described by a power law Dα. This change in the distribution occurs for values of D in the range 105-106 Jupiter periods. The power-law index α for the integral distributions lies in the range (-2,-1) and is trajectory dependent. The algebraic decay in the tails of the distributions is explained by the phenomenon of sticking of orbits to the chaos border during long intervals between bursts.

KW - Asteroids

KW - Mapping

KW - Resonances

UR - http://www.scopus.com/inward/record.url?scp=0042233449&partnerID=8YFLogxK

U2 - 10.1023/A:1008215810399

DO - 10.1023/A:1008215810399

M3 - Article

AN - SCOPUS:0042233449

VL - 68

SP - 163

EP - 175

JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

SN - 0923-2958

IS - 2

ER -

ID: 45990157