A. A. Tikhonov, “Rigid body dynamics from the Euler equations to the spacecraft attitude control in the works of scientists from Saint Petersburg State University. Part 4”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:4 (2024), 627

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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, Volume 11, Issue 4, Pages 627–662
DOI: https://doi.org/10.21638/spbu01.2024.402 (Mi vspua321)

TO THE 300TH ANNIVERSARY OF SPSU

Rigid body dynamics from the Euler equations to the spacecraft attitude control in the works of scientists from Saint Petersburg State University. Part 4

A. A. Tikhonov

St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation

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DOI: https://doi.org/10.21638/spbu01.2024.402

Abstract: This article is a continuation of the survey dedicated to the 300th anniversary of Saint Petersburg State University and is an attempt to analyze the scientific achievements of the St.Petersburg School of Mechanics in the field of rigid body dynamics. This, the fourth part of the review, is devoted to studies of the dynamics of the uncontrolled motion of a charged rigid body in the gravitational and magnetic fields of the Earth.

Keywords: rigid body, spacecraft, artificial Earth satellite, dynamics, attitude motion, attitude control, stabilization, oscillations, Lorentz torque.

Funding agency	Grant number
Russian Science Foundation	24-41-02031
The research was funded by the Russian Science Foundation no. 24-41-02031, https://rscf.ru/project/24-41-02031/.

Received: 25.01.2024
Revised: 06.05.2024
Accepted: 23.05.2024

Document Type: Article

UDC: 517.925.51:517.93:531.36

MSC: 93C10, 34H15

Language: Russian

Citation: A. A. Tikhonov, “Rigid body dynamics from the Euler equations to the spacecraft attitude control in the works of scientists from Saint Petersburg State University. Part 4”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:4 (2024), 627–662

Citation in format AMSBIB

\Bibitem{Tik24}

\by A.~A.~Tikhonov

\paper Rigid body dynamics from the Euler equations to the spacecraft attitude control in the works of scientists from Saint Petersburg State University. Part~4

\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy

\yr 2024

\vol 11

\issue 4

\pages 627--662

\mathnet{http://mi.mathnet.ru/vspua321}

\crossref{https://doi.org/10.21638/spbu01.2024.402}

Linking options:

https://www.mathnet.ru/eng/vspua321

https://www.mathnet.ru/eng/vspua/v11/i4/p627

Cycle of papers

Rigid body dynamics from the Euler equations to the spacecraft attitude control in the works of scientists from Saint Petersburg State University. Part 1
A. A. Tikhonov
Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, 10:3, 457–486
Rigid body dynamics from the Euler equations to the spacecraft attitude control in the works of scientists from Saint Petersburg State University. Part 2
A. A. Tikhonov
Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, 11:2, 259–302
Rigid body dynamics from the Euler equations to the spacecraft attitude control in the works of scientists from Saint Petersburg State University. Part 3
A. A. Tikhonov
Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, 11:3, 455–476
Rigid body dynamics from the Euler equations to the spacecraft attitude control in the works of scientists from Saint Petersburg State University. Part 4
A. A. Tikhonov
Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, 11:4, 627–662

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