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

Impact of modern dynamics in astronomy. ed. / J. Henrard; S. Ferraz-Mello. Dordrecht : Wolters Kluwer, 1999. p. 259-268 (Celestial Mechanics and Dynamical Astronomy; Vol. 73, No. 1-4).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Shevchenko, II 1999, The separatrix algorithmic map: Application to the spin-orbit motion. in J Henrard & S Ferraz-Mello (eds), Impact of modern dynamics in astronomy. Celestial Mechanics and Dynamical Astronomy, no. 1-4, vol. 73, Wolters Kluwer, Dordrecht, pp. 259-268. https://doi.org/10.1007/978-94-011-4527-5_26

APA

Shevchenko, I. I. (1999). The separatrix algorithmic map: Application to the spin-orbit motion. In J. Henrard, & S. Ferraz-Mello (Eds.), Impact of modern dynamics in astronomy (pp. 259-268). (Celestial Mechanics and Dynamical Astronomy; Vol. 73, No. 1-4). Wolters Kluwer. https://doi.org/10.1007/978-94-011-4527-5_26

Vancouver

Shevchenko II. The separatrix algorithmic map: Application to the spin-orbit motion. In Henrard J, Ferraz-Mello S, editors, Impact of modern dynamics in astronomy. Dordrecht: Wolters Kluwer. 1999. p. 259-268. (Celestial Mechanics and Dynamical Astronomy; 1-4). https://doi.org/10.1007/978-94-011-4527-5_26

Author

Shevchenko, Ivan I. / The separatrix algorithmic map : Application to the spin-orbit motion. Impact of modern dynamics in astronomy. editor / J. Henrard ; S. Ferraz-Mello. Dordrecht : Wolters Kluwer, 1999. pp. 259-268 (Celestial Mechanics and Dynamical Astronomy; 1-4).

BibTeX

@inproceedings{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",
doi = "10.1007/978-94-011-4527-5_26",
language = "English",
series = "Celestial Mechanics and Dynamical Astronomy",
publisher = "Wolters Kluwer",
number = "1-4",
pages = "259--268",
editor = "J. Henrard and S. Ferraz-Mello",
booktitle = "Impact of modern dynamics in astronomy",
address = "Netherlands",

}

RIS

TY - GEN

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

U2 - 10.1007/978-94-011-4527-5_26

DO - 10.1007/978-94-011-4527-5_26

M3 - Conference contribution

AN - SCOPUS:0003016138

T3 - Celestial Mechanics and Dynamical Astronomy

SP - 259

EP - 268

BT - Impact of modern dynamics in astronomy

A2 - Henrard, J.

A2 - Ferraz-Mello, S.

PB - Wolters Kluwer

CY - Dordrecht

ER -

ID: 153759672