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

**On Electrodynamic Attitude Stabilization of a Spacecraft in the Natural Magneto-Velocity Coordinate System.** / Александров, Александр Юрьевич; Тихонов, Алексей Александрович.

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

Александров, АЮ & Тихонов, АА 2024, On Electrodynamic Attitude Stabilization of a Spacecraft in the Natural Magneto-Velocity Coordinate System. in *Perspectives in Dynamical Systems II — Numerical and Analytical Approaches. DSTA 2021. .* Springer Proceedings in Mathematics & Statistics, vol. 454, Springer Nature, pp. 737–746, INTERNATIONAL CONFERENCE Dynamical Systems - Theory and Applications, Poland, 6/12/21. https://doi.org/10.1007/978-3-031-56496-3_47

Александров, А. Ю., & Тихонов, А. А. (2024). On Electrodynamic Attitude Stabilization of a Spacecraft in the Natural Magneto-Velocity Coordinate System. In *Perspectives in Dynamical Systems II — Numerical and Analytical Approaches. DSTA 2021. *(pp. 737–746). ( Springer Proceedings in Mathematics & Statistics; Vol. 454). Springer Nature. https://doi.org/10.1007/978-3-031-56496-3_47

Александров АЮ, Тихонов АА. On Electrodynamic Attitude Stabilization of a Spacecraft in the Natural Magneto-Velocity Coordinate System. In Perspectives in Dynamical Systems II — Numerical and Analytical Approaches. DSTA 2021. . Springer Nature. 2024. p. 737–746. ( Springer Proceedings in Mathematics & Statistics). https://doi.org/10.1007/978-3-031-56496-3_47

@inproceedings{f7b55cb520c84209a15153adfb6ce863,

title = "On Electrodynamic Attitude Stabilization of a Spacecraft in the Natural Magneto-Velocity Coordinate System",

abstract = "A spacecraft with electrodynamic attitude control system in a low Earth orbit is under consideration. The problem of the spacecraft attitude stabilization is studied in the natural magneto-velocity coordinate system associated with the geomagnetic induction and Lorentz force. The nonlinear stability analysis based on the Lyapunov direct method is applied in the problem. A rigorous mathematical justification is proposed, which makes it possible to obtain specific estimates for the control parameters that provide a solution to the problem of spacecraft attitude stabilization without any limitations on the Earth{\textquoteright}s magnetic field model. With the aid of the proposed Lyapunov function, sufficient conditions for the asymptotic stability of the spacecraft equilibrium position are derived. These conditions are formulated in terms of explicit and simple inequalities on the control parameters. Thus, a constructive approach to the design of stabilizing electrodynamic attitude control in the natural magneto-velocity coordinate system is formulated.",

keywords = "Asymptotic stability, Attitude stabilization, Geomagnetic field, Natural magneto-velocity coordinate system, Spacecraft",

author = "Александров, {Александр Юрьевич} and Тихонов, {Алексей Александрович}",

year = "2024",

doi = "10.1007/978-3-031-56496-3_47",

language = "English",

isbn = "9783031564956",

series = " Springer Proceedings in Mathematics & Statistics",

publisher = "Springer Nature",

pages = "737–746",

booktitle = "Perspectives in Dynamical Systems II — Numerical and Analytical Approaches. DSTA 2021. ",

address = "Germany",

note = "null ; Conference date: 06-12-2021 Through 09-12-2021",

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TY - GEN

T1 - On Electrodynamic Attitude Stabilization of a Spacecraft in the Natural Magneto-Velocity Coordinate System

AU - Александров, Александр Юрьевич

AU - Тихонов, Алексей Александрович

N1 - Conference code: 16

PY - 2024

Y1 - 2024

N2 - A spacecraft with electrodynamic attitude control system in a low Earth orbit is under consideration. The problem of the spacecraft attitude stabilization is studied in the natural magneto-velocity coordinate system associated with the geomagnetic induction and Lorentz force. The nonlinear stability analysis based on the Lyapunov direct method is applied in the problem. A rigorous mathematical justification is proposed, which makes it possible to obtain specific estimates for the control parameters that provide a solution to the problem of spacecraft attitude stabilization without any limitations on the Earth’s magnetic field model. With the aid of the proposed Lyapunov function, sufficient conditions for the asymptotic stability of the spacecraft equilibrium position are derived. These conditions are formulated in terms of explicit and simple inequalities on the control parameters. Thus, a constructive approach to the design of stabilizing electrodynamic attitude control in the natural magneto-velocity coordinate system is formulated.

AB - A spacecraft with electrodynamic attitude control system in a low Earth orbit is under consideration. The problem of the spacecraft attitude stabilization is studied in the natural magneto-velocity coordinate system associated with the geomagnetic induction and Lorentz force. The nonlinear stability analysis based on the Lyapunov direct method is applied in the problem. A rigorous mathematical justification is proposed, which makes it possible to obtain specific estimates for the control parameters that provide a solution to the problem of spacecraft attitude stabilization without any limitations on the Earth’s magnetic field model. With the aid of the proposed Lyapunov function, sufficient conditions for the asymptotic stability of the spacecraft equilibrium position are derived. These conditions are formulated in terms of explicit and simple inequalities on the control parameters. Thus, a constructive approach to the design of stabilizing electrodynamic attitude control in the natural magneto-velocity coordinate system is formulated.

KW - Asymptotic stability

KW - Attitude stabilization

KW - Geomagnetic field

KW - Natural magneto-velocity coordinate system

KW - Spacecraft

UR - https://link.springer.com/chapter/10.1007/978-3-031-56496-3_47

UR - https://www.mendeley.com/catalogue/1ba0fd43-340c-38ba-84ef-b65be648c8fa/

U2 - 10.1007/978-3-031-56496-3_47

DO - 10.1007/978-3-031-56496-3_47

M3 - Conference contribution

SN - 9783031564956

T3 - Springer Proceedings in Mathematics & Statistics

SP - 737

EP - 746

BT - Perspectives in Dynamical Systems II — Numerical and Analytical Approaches. DSTA 2021.

PB - Springer Nature

Y2 - 6 December 2021 through 9 December 2021

ER -

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