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The separatrix algorithmic map : Application to the spin-orbit motion. / Shevchenko, Ivan I.

In: Celestial Mechanics and Dynamical Astronomy, Vol. 73, No. 1-4, 01.12.1999, p. 259-268.

Research output: Contribution to journal › Article › peer-review

Harvard

Shevchenko, II 1999, 'The separatrix algorithmic map: Application to the spin-orbit motion', Celestial Mechanics and Dynamical Astronomy, vol. 73, no. 1-4, pp. 259-268.

APA

Shevchenko, I. I. (1999). The separatrix algorithmic map: Application to the spin-orbit motion. Celestial Mechanics and Dynamical Astronomy, 73(1-4), 259-268.

Vancouver

Shevchenko II. The separatrix algorithmic map: Application to the spin-orbit motion. Celestial Mechanics and Dynamical Astronomy. 1999 Dec 1;73(1-4):259-268.

Author

Shevchenko, Ivan I. / The separatrix algorithmic map : Application to the spin-orbit motion. In: Celestial Mechanics and Dynamical Astronomy. 1999 ; Vol. 73, No. 1-4. pp. 259-268.

BibTeX

@article{44267a18f5974658ad9010e33ff5ac46,
title = "The separatrix algorithmic map: Application to the spin-orbit motion",
abstract = "The planar rotational motion of a non-symmetric satellite in an elliptic orbit is considered. A two-dimensional map is constructed, describing the motion in a vicinity of the separatrix of the synchronous spin-orbit resonance. This map is a generalization of Chirikov's separatrix map, in the sense that the asymmetry of perturbation is taken into account. Phase portraits of the generalized map perfectly reproduce well-known examples of surfaces of section (first computed by Wisdom et al. (Wisdom et al., 1984), Wisdom (Wisdom, 1987)) of the phase space of spin-orbit coupling for non-symmetric natural satellites. Moreover, it provides a straightforward analytical description of the phase space: analysis of properties of the map allows one to precalculate, by means of compact analytical relations, the locations of resonances and chaos borders, the emergence of marginal resonances, and even to describe bifurcations of the synchronous resonance's center, though far from the separatrix.",
author = "Shevchenko, {Ivan I.}",
year = "1999",
month = dec,
day = "1",
language = "English",
volume = "73",
pages = "259--268",
journal = "Celestial Mechanics and Dynamical Astronomy",
issn = "0923-2958",
publisher = "Springer Nature",
number = "1-4",

}

RIS

TY - JOUR

T1 - The separatrix algorithmic map

T2 - Application to the spin-orbit motion

AU - Shevchenko, Ivan I.

PY - 1999/12/1

Y1 - 1999/12/1

N2 - The planar rotational motion of a non-symmetric satellite in an elliptic orbit is considered. A two-dimensional map is constructed, describing the motion in a vicinity of the separatrix of the synchronous spin-orbit resonance. This map is a generalization of Chirikov's separatrix map, in the sense that the asymmetry of perturbation is taken into account. Phase portraits of the generalized map perfectly reproduce well-known examples of surfaces of section (first computed by Wisdom et al. (Wisdom et al., 1984), Wisdom (Wisdom, 1987)) of the phase space of spin-orbit coupling for non-symmetric natural satellites. Moreover, it provides a straightforward analytical description of the phase space: analysis of properties of the map allows one to precalculate, by means of compact analytical relations, the locations of resonances and chaos borders, the emergence of marginal resonances, and even to describe bifurcations of the synchronous resonance's center, though far from the separatrix.

AB - The planar rotational motion of a non-symmetric satellite in an elliptic orbit is considered. A two-dimensional map is constructed, describing the motion in a vicinity of the separatrix of the synchronous spin-orbit resonance. This map is a generalization of Chirikov's separatrix map, in the sense that the asymmetry of perturbation is taken into account. Phase portraits of the generalized map perfectly reproduce well-known examples of surfaces of section (first computed by Wisdom et al. (Wisdom et al., 1984), Wisdom (Wisdom, 1987)) of the phase space of spin-orbit coupling for non-symmetric natural satellites. Moreover, it provides a straightforward analytical description of the phase space: analysis of properties of the map allows one to precalculate, by means of compact analytical relations, the locations of resonances and chaos borders, the emergence of marginal resonances, and even to describe bifurcations of the synchronous resonance's center, though far from the separatrix.

UR - http://www.scopus.com/inward/record.url?scp=0003016138&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0003016138

VL - 73

SP - 259

EP - 268

JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

SN - 0923-2958

IS - 1-4

ER -

ID: 45989793