Symmetrical Oscillations in the Problem of Gyrostat Attitude Motion in a Weakly Elliptical Orbit in Gravitational and Magnetic Fields

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Symmetrical Oscillations in the Problem of Gyrostat Attitude Motion in a Weakly Elliptical Orbit in Gravitational and Magnetic Fields. / Tikhonov, A. A.; Tkhai, V. N.

In: Vestnik St. Petersburg University: Mathematics, Vol. 48, No. 2, 04.2015, p. 119-125.

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

BibTeX

@article{af098106af7d477288f99d844d65ae63,

title = "Symmetrical Oscillations in the Problem of Gyrostat Attitude Motion in a Weakly Elliptical Orbit in Gravitational and Magnetic Fields",

abstract = "A gyrostat in central Newtonian gravitational and dipolar magnetic fields is considered. It moves along a weakly elliptical Keplerian orbit in a magnetic equatorial plane. The gyrostat possesses electrostatic charge and intrinsic magnetic moment. The attitude motion under the action of Lorentz and magnetic torques is studied. It is shown that the system of differential equations of gyrostat attitude motion is reversible with three fixed sets in the case of a circular orbit. Symmetrical periodic motions of oscillatory type are analyzed. Bifurcation in a family of gyrostat symmetrical oscillations and generation of two isolated symmetrical oscillations are revealed in transition from a circular orbit to an elliptical one.",

keywords = "gyrostat, weakly elliptical orbit, attitude motion, magnetic field, reversible system, fixed set, oscillations, bifurcation",

author = "Tikhonov, {A. A.} and Tkhai, {V. N.}",

year = "2015",

month = apr,

doi = "10.3103/S1063454115020107",

language = "Английский",

volume = "48",

pages = "119--125",

journal = "Vestnik St. Petersburg University: Mathematics",

issn = "1063-4541",

publisher = "Pleiades Publishing",

number = "2",

}

RIS

TY - JOUR

T1 - Symmetrical Oscillations in the Problem of Gyrostat Attitude Motion in a Weakly Elliptical Orbit in Gravitational and Magnetic Fields

AU - Tikhonov, A. A.

AU - Tkhai, V. N.

PY - 2015/4

Y1 - 2015/4

N2 - A gyrostat in central Newtonian gravitational and dipolar magnetic fields is considered. It moves along a weakly elliptical Keplerian orbit in a magnetic equatorial plane. The gyrostat possesses electrostatic charge and intrinsic magnetic moment. The attitude motion under the action of Lorentz and magnetic torques is studied. It is shown that the system of differential equations of gyrostat attitude motion is reversible with three fixed sets in the case of a circular orbit. Symmetrical periodic motions of oscillatory type are analyzed. Bifurcation in a family of gyrostat symmetrical oscillations and generation of two isolated symmetrical oscillations are revealed in transition from a circular orbit to an elliptical one.

AB - A gyrostat in central Newtonian gravitational and dipolar magnetic fields is considered. It moves along a weakly elliptical Keplerian orbit in a magnetic equatorial plane. The gyrostat possesses electrostatic charge and intrinsic magnetic moment. The attitude motion under the action of Lorentz and magnetic torques is studied. It is shown that the system of differential equations of gyrostat attitude motion is reversible with three fixed sets in the case of a circular orbit. Symmetrical periodic motions of oscillatory type are analyzed. Bifurcation in a family of gyrostat symmetrical oscillations and generation of two isolated symmetrical oscillations are revealed in transition from a circular orbit to an elliptical one.

KW - gyrostat

KW - weakly elliptical orbit

KW - attitude motion

KW - magnetic field

KW - reversible system

KW - fixed set

KW - oscillations

KW - bifurcation

U2 - 10.3103/S1063454115020107

DO - 10.3103/S1063454115020107

M3 - статья

VL - 48

SP - 119

EP - 125

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 2

ER -

ID: 3933216