Abstract
The tension of space tether system consists of on-orbital gradient of gravity and Satellite's centrifugal force. In case of tether systems with equal mass and cross section properties, tension and stress of tether have maximum value at the end of tether connected to the mother satellite. These values of stress increase as the space tether systems are designed on a large scale, and the destruction of tether systems could be anticipated in the extremum. To reduce these gradient of stress value, tapered cross section tether is proposed and is analyzed its performance of vibration and control of lateral motion. Numerical results show the behavior of the tapered cross section tether, and the wave-absorbing control to suppress the vibration are shown to effective.