Sergei Pavlovich Bezglasnyi, Candidate of Physics and Mathematics, Associate Professor at the Department of Theoretical Mechanics of Samara State Aerospace University named after Academician S.P. Korolev (National Research University); graduated from the Faculty of Mechanics and Mathematics of Lomonosov Moscow State University; an author of articles in the field of theoretical mechanics, theory of stability and control, dynamics of space systems., [e-mail: bezglasnsp@rambler.ru]S. Bezglasnyi,

Alena Alikovna Mukhametzyanova, Aeronautical Engineering Institute at Samara State Aerospace University named after Academician S.P. Korolev, Post-graduate Student at the Department of Theoretical Mechanics of Aeronautical Engineering Institute at Samara State Aerospace University named after Academician S.P. Korolev; graduated from the Faculty of Aircrafts of Samara State Aerospace University named after Academician S.P. Korolev; an author of articles in the field of theoretical mechanics, theory of stability and control. [e-mail: alain.20@mail.ru]A. Mukhametzyanova

Gravitational Stabilization and Reorientation of a Dumbbell Satellite in a Circular Orbit Due to the Swing Principle

A dumbsell satellite plane motion along the circular orbit is considered in the article. The motion is modeled by a weight rod with two masses fixed on the rod’s ends. A third mass can move along the rod. The control is realized by the law of moving seismic mass along the rod. The new bounded control laws solving the tasks of gravitational stability in relation to the satellite balancing state radial location flat rebellions and the tasks of dyametrical reorientation on orbit are obtained due to the swing principle. The problem is solved on the basis of the second method of the classical instability theory; the corresponding Lyapunov functions are plotted. The theoretical results are illustrated by the graphical representation of the system motion numerical simulation.

Dumbbell satellite, seismicmass, gravitational torque, lyapunov function, asymptotic stability.

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