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Lyapunov-Based Control via Atmospheric Drag for Tetrahedral Satellite Formation

Author

Listed:
  • Mikhail Ovchinnikov

    (Keldysh Institute of Applied Mathematics of RAS, Miusskaya Sq. 4, 125047 Moscow, Russia)

  • Yaroslav Mashtakov

    (Keldysh Institute of Applied Mathematics of RAS, Miusskaya Sq. 4, 125047 Moscow, Russia)

  • Sergey Shestakov

    (Keldysh Institute of Applied Mathematics of RAS, Miusskaya Sq. 4, 125047 Moscow, Russia)

Abstract

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.

Suggested Citation

  • Mikhail Ovchinnikov & Yaroslav Mashtakov & Sergey Shestakov, 2024. "Lyapunov-Based Control via Atmospheric Drag for Tetrahedral Satellite Formation," Mathematics, MDPI, vol. 12(2), pages 1-14, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:2:p:189-:d:1314280
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