Averaging technique in the problem of satellite attitude stabilization in indirect position in the orbital reference frame with the use of Lorentz torque Article Swipe
Aleksandr Yu. Aleksandrov
,
Natalya Andriyanova
,
Aleksey A. Tikhonov
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.21638/spbu01.2021.111
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.21638/spbu01.2021.111
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.
Related Topics
Concepts
Reference frame
Position (finance)
Lyapunov function
Satellite
Control theory (sociology)
Exponential stability
Frame of reference
Orbit (dynamics)
Circular orbit
Orbital elements
Torque
Orbital mechanics
Constructive
Coordinate system
Classical mechanics
Physics
Mathematics
Mathematical analysis
Frame (networking)
Computer science
Control (management)
Geometry
Process (computing)
Engineering
Aerospace engineering
Operating system
Telecommunications
Quantum mechanics
Astrophysics
Astronomy
Nonlinear system
Economics
Artificial intelligence
Finance
Thermodynamics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.21638/spbu01.2021.111
- https://math-mech-astr-journal.spbu.ru/article/download/10907/7655
- OA Status
- diamond
- References
- 19
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3159334732
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W3159334732Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.21638/spbu01.2021.111Digital Object Identifier
- Title
-
Averaging technique in the problem of satellite attitude stabilization in indirect position in the orbital reference frame with the use of Lorentz torqueWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
-
2021-01-01Full publication date if available
- Authors
-
Aleksandr Yu. Aleksandrov, Natalya Andriyanova, Aleksey A. TikhonovList of authors in order
- Landing page
-
https://doi.org/10.21638/spbu01.2021.111Publisher landing page
- PDF URL
-
https://math-mech-astr-journal.spbu.ru/article/download/10907/7655Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
diamondOpen access status per OpenAlex
- OA URL
-
https://math-mech-astr-journal.spbu.ru/article/download/10907/7655Direct OA link when available
- Concepts
-
Reference frame, Position (finance), Lyapunov function, Satellite, Control theory (sociology), Exponential stability, Frame of reference, Orbit (dynamics), Circular orbit, Orbital elements, Torque, Orbital mechanics, Constructive, Coordinate system, Classical mechanics, Physics, Mathematics, Mathematical analysis, Frame (networking), Computer science, Control (management), Geometry, Process (computing), Engineering, Aerospace engineering, Operating system, Telecommunications, Quantum mechanics, Astrophysics, Astronomy, Nonlinear system, Economics, Artificial intelligence, Finance, ThermodynamicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- References (count)
-
19Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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