Abstract
The chaotic librational motion of a tethered satellite system in elliptic orbits was studied experimentally using the ground-based apparatus which simulates this motion. The main objective was to verify the existence of periodic librational motions in such a tethered satellite system. The experimental apparatus consists of a turntable to emulate orbital rotational motion, an inclined plate to emulate gravity, and a slider to emulate the change of the mother satellite’s orbital radius. In addition, a mathematical model based on the experimental parameters was used to derive the equations of motion for the system. The inclination angle of the plate was determined to emulate the required gravity gradient for a given eccentricity, orbital radius, and orbital speed. Numerical simulations based on the mathematical model and the experimental data showed that the apparatus is capable of emulating chaotic librational motions of a tethered satellite system, and verified the existence of periodic motions.
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