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The effect of the nonuniformity of the Earth’s magnetic field on electrodynamic space tether system dynamics. (English. Russian original) Zbl 1460.37079
Vestn. St. Petersbg. Univ., Math. 53, No. 3, 366-375 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 3, 539-551 (2020).
Summary: An electrodynamic space tether system operating in stretched cluster mode in a circular equatorial near-Earth orbit under conditions of nonuniformity of the Earth’s magnetic field is considered in this work. The dynamic equations of motion are analyzed to find equilibrium modes of motion. A possible motion mode of tethered cluster is found, which is close to vertical equilibrium position in the orbital plane. The stability of the found equilibrium is investigated in linear approximation. The results of numerical modeling of some relations for the tether system with varying its parameters are presented.
MSC:
37N05 Dynamical systems in classical and celestial mechanics
70K20 Stability for nonlinear problems in mechanics
70K42 Equilibria and periodic trajectories for nonlinear problems in mechanics
70K45 Normal forms for nonlinear problems in mechanics
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