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Averaging Method in the Problem of the Lorentz Stabilization of the Indirect Equilibrium Position of a Satellite in the Orbital Coordinate System. / Aleksandrov, A. Yu; Andriyanova, N. R.; Tikhonov, A. A.

In: Vestnik St. Petersburg University: Mathematics, Vol. 54, No. 1, 01.2021, p. 95-105.

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

Harvard

Aleksandrov, AY, Andriyanova, NR & Tikhonov, AA 2021, 'Averaging Method in the Problem of the Lorentz Stabilization of the Indirect Equilibrium Position of a Satellite in the Orbital Coordinate System', Vestnik St. Petersburg University: Mathematics, vol. 54, no. 1, pp. 95-105. https://doi.org/10.1134/S1063454121010027

APA

Aleksandrov, A. Y., Andriyanova, N. R., & Tikhonov, A. A. (2021). Averaging Method in the Problem of the Lorentz Stabilization of the Indirect Equilibrium Position of a Satellite in the Orbital Coordinate System. Vestnik St. Petersburg University: Mathematics, 54(1), 95-105. https://doi.org/10.1134/S1063454121010027

Vancouver

Aleksandrov AY, Andriyanova NR, Tikhonov AA. Averaging Method in the Problem of the Lorentz Stabilization of the Indirect Equilibrium Position of a Satellite in the Orbital Coordinate System. Vestnik St. Petersburg University: Mathematics. 2021 Jan;54(1):95-105. https://doi.org/10.1134/S1063454121010027

Author

Aleksandrov, A. Yu ; Andriyanova, N. R. ; Tikhonov, A. A. / Averaging Method in the Problem of the Lorentz Stabilization of the Indirect Equilibrium Position of a Satellite in the Orbital Coordinate System. In: Vestnik St. Petersburg University: Mathematics. 2021 ; Vol. 54, No. 1. pp. 95-105.

BibTeX

@article{3c7f0fe5233d4b7ab39e69638bf8dbfb,
title = "Averaging Method in the Problem of the Lorentz Stabilization of the Indirect Equilibrium Position of a Satellite in the Orbital Coordinate System",
abstract = "Abstract: A dynamically symmetric satellite in a circular orbit of small inclination is considered. The problem of the Lorentzian stabilization of the satellite in the orbital coordinate system in the indirect equilibrium position is solved under the conditions of the perturbing effect of the gravitational torque. To solve this problem, which is characterized by incomplete control, a method of averaging differential equations is developed. Using the original construction of the unsteady Lyapunov function, we obtain sufficient conditions for the asymptotic stability of the programmed satellite motion mode in the form of constructive inequalities with respect to the control parameters.",
keywords = "asymptotic stability, Lyapunov function method, rotary motion, satellite, stabilization",
author = "Aleksandrov, {A. Yu} and Andriyanova, {N. R.} and Tikhonov, {A. A.}",
note = "Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",
year = "2021",
month = jan,
doi = "10.1134/S1063454121010027",
language = "English",
volume = "54",
pages = "95--105",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Averaging Method in the Problem of the Lorentz Stabilization of the Indirect Equilibrium Position of a Satellite in the Orbital Coordinate System

AU - Aleksandrov, A. Yu

AU - Andriyanova, N. R.

AU - Tikhonov, A. A.

N1 - Publisher Copyright: © 2021, Pleiades Publishing, Ltd.

PY - 2021/1

Y1 - 2021/1

N2 - Abstract: A dynamically symmetric satellite in a circular orbit of small inclination is considered. The problem of the Lorentzian stabilization of the satellite in the orbital coordinate system in the indirect equilibrium position is solved under the conditions of the perturbing effect of the gravitational torque. To solve this problem, which is characterized by incomplete control, a method of averaging differential equations is developed. Using the original construction of the unsteady Lyapunov function, we obtain sufficient conditions for the asymptotic stability of the programmed satellite motion mode in the form of constructive inequalities with respect to the control parameters.

AB - Abstract: A dynamically symmetric satellite in a circular orbit of small inclination is considered. The problem of the Lorentzian stabilization of the satellite in the orbital coordinate system in the indirect equilibrium position is solved under the conditions of the perturbing effect of the gravitational torque. To solve this problem, which is characterized by incomplete control, a method of averaging differential equations is developed. Using the original construction of the unsteady Lyapunov function, we obtain sufficient conditions for the asymptotic stability of the programmed satellite motion mode in the form of constructive inequalities with respect to the control parameters.

KW - asymptotic stability

KW - Lyapunov function method

KW - rotary motion

KW - satellite

KW - stabilization

UR - http://www.scopus.com/inward/record.url?scp=85102696687&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/792a5e8e-6e58-34a8-b5ce-5e596a6a4dd3/

U2 - 10.1134/S1063454121010027

DO - 10.1134/S1063454121010027

M3 - Article

AN - SCOPUS:85102696687

VL - 54

SP - 95

EP - 105

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 75337369