Stabilizing the Motion of a Low-Orbit Electrodynamic Tether System
- 4 Downloads
This paper considers the motion of a low-orbit electrodynamic tether system designed to raise the orbit of a small spacecraft or nanosatellites. The system operates in the thrust generation mode. The orbit is raised by the Ampere force resulting from the interaction of the conducting tether with the Earth’s magnetic field. The mathematical model of motion is constructed using the Lagrange method taking into account the effect of the distributed loads from the Ampere force and the aerodynamic forces on the tether. It is shown that the motion of the system relative to the center of mass is unstable if the current is constant. It is proposed to use a linear regulator to stabilize the motion of the system with respect to the local vertical. Bellman’s dynamic programming principle is used to synthesize the regulator.
This work was supported by the Russian Foundation for Basic Research, project no. 16-41-630637.
- 1.V. V. Beletskii and E. M. Levin, Dynamics of Space Cable Systems (Nauka, Moscow, 1990) [in Russian].Google Scholar
- 2.E. M. Levin, Dynamic Analysis of Space Tether Missions (Am. Astronaut. Soc., San Diego, 2007).Google Scholar
- 4.E. M. Levin, “Stability of stationary equilibrium positions of electrodynamic cable systems in orbit,” Kosm. Issled. 25, 491–501 (1987).Google Scholar
- 5.J. Pelaez, T. C. Lorenzini, O. Lopez-Rebollal, and M. Ruiz, “A new kind of dynamic instability in electrodynamic tethers,” J. Astronaut. Sci. 48, 449–476 (2000).Google Scholar
- 6.R. Mantellato, M. Pertile, G. Colombatti, and E. C. Lorenzini, “Analysis of passive system to damp the libration of electrodynamic tethers for deorbiting,” in Proceedings of the AIAA SPACE 2013 Conference and Exposition (AIAA, San Diego, 2013), pp. 1–9.Google Scholar
- 11.F. Dignat and V. Shilen, “Control of oscillations of the orbital tether system,” Prikl. Mat. Mekh. 64. 747–754 (2000).Google Scholar
- 12.Yu. M. Zabolotnov and D. I. Fefelov, “Dynamics of movement of a capsule with a cable in the extra-atmospheric portion of descent from orbit,” Izv. SNTs RAN 8, 841–848 (2006).Google Scholar
- 13.R. Zhong and Z. H. Zhu, “Dynamic analysis of deployment and retrieval of tethered satellites using a hybrid hinged-rod tether model,” Int. J. Aerospace Lightweight Struct. 5, 1–21 (2015).Google Scholar
- 16.A. M. Letov, Flight Dynamics and Control (Nauka, Moscow, 1969) [in Russian].Google Scholar
- 17.D. E. Okhotsimskiy and Yu. G. Sikharulidze, Basics of Space Flight Mechanics (Nauka, Moscow, 1990) [in Russian].Google Scholar
- 18.A. A. Dmitrievsky, N. M. Ivanov, L. N. Lysenko, and S. S. Bogodistov, Ballistics and Rocket Navigation (Mashinostroenie, Moscow, 1985) [in Russian].Google Scholar
- 19.N. S. Arzhannikov and G. S. Sadekova, Aerodynamics of Aircraft (Vyssh. Shkola, Moscow, 1983) [in Russian].Google Scholar