Analysis of the stability of the movement of a tether system in the atmosphere with a change in the length of the rope

Abstract. To analyze the stability of the tether system of a spacecraft in the atmosphere, a mathematical model in the form of a matrix based on the Euler kinematic equations is obtained taking into account the change in the kinetic moment. It is shown that with an increase in the rope length, the amplitude of the change in the angle of attack of the spacecraft and stabilizer decreases, and the stability of the system increases. Keywords tether system, stability, motion, aerodynamic force, Euler equation, rope length, stabilizer [email protected], [email protected].