Lyapunov-Based Control via Atmospheric Drag for Tetrahedral Satellite Formation
The problem of small tetrahedral satellite formation maintenance in a Low Earth Orbit is being considered. The main purpose is to develop a simple algorithm for tetrahedron control via atmospheric drag. To design a controller, the direct Lyapunov method is used. The control obtained is suitable for...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/2/189 |
| _version_ | 1797343061838135296 |
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| author | Mikhail Ovchinnikov Yaroslav Mashtakov Sergey Shestakov |
| author_facet | Mikhail Ovchinnikov Yaroslav Mashtakov Sergey Shestakov |
| author_sort | Mikhail Ovchinnikov |
| collection | DOAJ |
| description | The problem of small tetrahedral satellite formation maintenance in a Low Earth Orbit is being considered. The main purpose is to develop a simple algorithm for tetrahedron control via atmospheric drag. To design a controller, the direct Lyapunov method is used. The control obtained is suitable for tetrahedral formation maintenance, with an average distance of about 1 km. During the controlled motion, the geometric characteristics of the tetrahedron are preserved. |
| first_indexed | 2024-03-08T10:42:15Z |
| format | Article |
| id | doaj.art-5fcf6d2908384fdb822fea5d76dc7815 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-08T10:42:15Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-5fcf6d2908384fdb822fea5d76dc78152024-01-26T17:31:01ZengMDPI AGMathematics2227-73902024-01-0112218910.3390/math12020189Lyapunov-Based Control via Atmospheric Drag for Tetrahedral Satellite FormationMikhail Ovchinnikov0Yaroslav Mashtakov1Sergey Shestakov2Keldysh Institute of Applied Mathematics of RAS, Miusskaya Sq. 4, 125047 Moscow, RussiaKeldysh Institute of Applied Mathematics of RAS, Miusskaya Sq. 4, 125047 Moscow, RussiaKeldysh Institute of Applied Mathematics of RAS, Miusskaya Sq. 4, 125047 Moscow, RussiaThe problem of small tetrahedral satellite formation maintenance in a Low Earth Orbit is being considered. The main purpose is to develop a simple algorithm for tetrahedron control via atmospheric drag. To design a controller, the direct Lyapunov method is used. The control obtained is suitable for tetrahedral formation maintenance, with an average distance of about 1 km. During the controlled motion, the geometric characteristics of the tetrahedron are preserved.https://www.mdpi.com/2227-7390/12/2/189tetrahedral formationLyapunov controlatmospheric drag |
| spellingShingle | Mikhail Ovchinnikov Yaroslav Mashtakov Sergey Shestakov Lyapunov-Based Control via Atmospheric Drag for Tetrahedral Satellite Formation Mathematics tetrahedral formation Lyapunov control atmospheric drag |
| title | Lyapunov-Based Control via Atmospheric Drag for Tetrahedral Satellite Formation |
| title_full | Lyapunov-Based Control via Atmospheric Drag for Tetrahedral Satellite Formation |
| title_fullStr | Lyapunov-Based Control via Atmospheric Drag for Tetrahedral Satellite Formation |
| title_full_unstemmed | Lyapunov-Based Control via Atmospheric Drag for Tetrahedral Satellite Formation |
| title_short | Lyapunov-Based Control via Atmospheric Drag for Tetrahedral Satellite Formation |
| title_sort | lyapunov based control via atmospheric drag for tetrahedral satellite formation |
| topic | tetrahedral formation Lyapunov control atmospheric drag |
| url | https://www.mdpi.com/2227-7390/12/2/189 |
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