Lyapunov-Based Control via Atmospheric Drag for Tetrahedral Satellite Formation

Mikhail Ovchinnikov, Yaroslav Mashtakov and Sergey Shestakov ()
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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

Mathematics, 2024, vol. 12, issue 2, 1-13

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.

Keywords: tetrahedral formation; Lyapunov control; atmospheric drag (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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