Research on astronomical trajectory planning algorithm for FAST

This paper addresses astronomical trajectory planning algorithms for tracking and basket-weaving for Five-hundred-meter Aperture Spherical Radio Telescope (FAST). In order to achieve stable operation at feed receiver of FAST and to ease difficulties of trajectory planning in 3-D space, the observed trajectories were planned in celestial coordinate system. Firstly, the characteristics of tracking and basket-weaving were analyzed, and the involved parameters for tracking and basket-weaving were extracted. Secondly, the constraint conditions for planning parameters corresponding to the practical motion were obtained; besides trajectory planning algorithms based on double S velocity profile for tracking and basket-weaving were proposed. Finally, the numerical results indicated that the planned trajectories are guaranteed to be continuous in position, velocity and acceleration, as well as respect the given motion constraint conditions. And the proposed algorithm cost less planning time than the algorithm plans in 3-D space.