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Symmetric oscillations of charged gyrostat in weakly elliptical orbit with small inclination. / Tikhonov, A.A.; Tkhai, V.N.

в: Nonlinear Dynamics, Том 85, № 3, 08.2016, стр. 1919-1927.

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

Harvard

Tikhonov, AA & Tkhai, VN 2016, 'Symmetric oscillations of charged gyrostat in weakly elliptical orbit with small inclination', Nonlinear Dynamics, Том. 85, № 3, стр. 1919-1927. https://doi.org/10.1007/s11071-016-2805-2, https://doi.org/10.1007/s11071-016-2805-2

APA

Tikhonov, A. A., & Tkhai, V. N. (2016). Symmetric oscillations of charged gyrostat in weakly elliptical orbit with small inclination. Nonlinear Dynamics, 85(3), 1919-1927. https://doi.org/10.1007/s11071-016-2805-2, https://doi.org/10.1007/s11071-016-2805-2

Vancouver

Tikhonov AA, Tkhai VN. Symmetric oscillations of charged gyrostat in weakly elliptical orbit with small inclination. Nonlinear Dynamics. 2016 Авг.;85(3):1919-1927. https://doi.org/10.1007/s11071-016-2805-2, https://doi.org/10.1007/s11071-016-2805-2

Author

Tikhonov, A.A. ; Tkhai, V.N. / Symmetric oscillations of charged gyrostat in weakly elliptical orbit with small inclination. в: Nonlinear Dynamics. 2016 ; Том 85, № 3. стр. 1919-1927.

BibTeX

@article{07b3fb82a9e44ee39807908a46e7acba,
title = "Symmetric oscillations of charged gyrostat in weakly elliptical orbit with small inclination",
abstract = "This paper deals with a gyrostat satellite in a weakly elliptical near-Earth orbit with small inclination. The gyrostat is supplied with flywheel and possesses electrostatic charge and intrinsic magnetic moment. The gyrostat attitude motion under the action of Lorentz, magnetic and gravity-gradient torques is studied. It is shown that the system of differential equations for attitude motion of gyrostat with triaxial ellipsoid of inertia is reversible with two fixed sets. In the case of a spherical ellipsoid of inertia, the third fixed set occurs. It is revealed that two of these three sets correspond to the respective sets of the generating problem, that is, in the case of a circular equatorial orbit. It is made clear what the families of symmetric oscillations of the generating problem bifurcate and give rise to isolated oscillations. Thus, all periodic oscillations are found for gyrostat with equal moments of inertia on weakly elliptic orbit with small inclination.",
keywords = "Gyrostat, Weakly elliptical orbit, Inclined orbit, Attitude motion, Magnetic field, Reversible mechanical system, Fixed set, Oscillations, Bifurcation, PERIODIC MOTIONS, SATELLITE, STABILIZATION, DYNAMICS, MASS",
author = "A.A. Tikhonov and V.N. Tkhai",
year = "2016",
month = aug,
doi = "10.1007/s11071-016-2805-2",
language = "Английский",
volume = "85",
pages = "1919--1927",
journal = "Nonlinear Dynamics",
issn = "0924-090X",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Symmetric oscillations of charged gyrostat in weakly elliptical orbit with small inclination

AU - Tikhonov, A.A.

AU - Tkhai, V.N.

PY - 2016/8

Y1 - 2016/8

N2 - This paper deals with a gyrostat satellite in a weakly elliptical near-Earth orbit with small inclination. The gyrostat is supplied with flywheel and possesses electrostatic charge and intrinsic magnetic moment. The gyrostat attitude motion under the action of Lorentz, magnetic and gravity-gradient torques is studied. It is shown that the system of differential equations for attitude motion of gyrostat with triaxial ellipsoid of inertia is reversible with two fixed sets. In the case of a spherical ellipsoid of inertia, the third fixed set occurs. It is revealed that two of these three sets correspond to the respective sets of the generating problem, that is, in the case of a circular equatorial orbit. It is made clear what the families of symmetric oscillations of the generating problem bifurcate and give rise to isolated oscillations. Thus, all periodic oscillations are found for gyrostat with equal moments of inertia on weakly elliptic orbit with small inclination.

AB - This paper deals with a gyrostat satellite in a weakly elliptical near-Earth orbit with small inclination. The gyrostat is supplied with flywheel and possesses electrostatic charge and intrinsic magnetic moment. The gyrostat attitude motion under the action of Lorentz, magnetic and gravity-gradient torques is studied. It is shown that the system of differential equations for attitude motion of gyrostat with triaxial ellipsoid of inertia is reversible with two fixed sets. In the case of a spherical ellipsoid of inertia, the third fixed set occurs. It is revealed that two of these three sets correspond to the respective sets of the generating problem, that is, in the case of a circular equatorial orbit. It is made clear what the families of symmetric oscillations of the generating problem bifurcate and give rise to isolated oscillations. Thus, all periodic oscillations are found for gyrostat with equal moments of inertia on weakly elliptic orbit with small inclination.

KW - Gyrostat

KW - Weakly elliptical orbit

KW - Inclined orbit

KW - Attitude motion

KW - Magnetic field

KW - Reversible mechanical system

KW - Fixed set

KW - Oscillations

KW - Bifurcation

KW - PERIODIC MOTIONS

KW - SATELLITE

KW - STABILIZATION

KW - DYNAMICS

KW - MASS

U2 - 10.1007/s11071-016-2805-2

DO - 10.1007/s11071-016-2805-2

M3 - статья

VL - 85

SP - 1919

EP - 1927

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

SN - 0924-090X

IS - 3

ER -

ID: 7572756