Covert Maneuver Trajectory Planning of Spacecraft Cluster Based on Geodesic
Aiming at the spacecraft cluster covert maneuvering problem,a spacecraft cluster trajectory planning method based on geodesic is proposed.This method abstracts the trajectory planning problem into the differential manifold topological space and calculates the spatial structure through mathematical definition.Firstly,non-convex constraints such as motion constraints,collision avoidance constraints,and covert configuration constraints of the cluster are integrated into the metric to avoid increasing the system dimension without the need for constraint convexization.Furthermore,an objective functional dependent on manifold metrics is defined,and the local extremum problem of the functional is transformed into a partial differential equation solving problem by using homotopy transformation.The numerical simulation results show that compared with the model predictive control sequential convex programming,the proposed method solves the non-convex multi-constraint problem of covert maneuver and has the characteristics of not relying on the initial guess,high covert accuracy,and small system control input,which can provide effective covert maneuver trajectory for spacecraft cluster.