Modeling And Autonomous Micro-thrust Control Of Satellite Clusters Under J2 Perturbation

Distributed satellite systems are receiving more and more attention all over the world,and there are many achievements in this field.Distributed satellite systems which rely on ground planning do not have rapid response capabilities,as a result,researches on autonomous satellite cluster control are increasing.Autonomous control can be applied on large-scale clusters.Traditionally,several satellites of the cluster are used as chief satellites to distribute tasks to their followers.Followers will perform tasks according to the instructions they received.However,this method has the disadvantages that the calculation burden of chief satellites are large and the reliability of the constellation is low.In order to make satellite clusters independent of ground systems or chief satellites,distributed autonomous cluster control has become a research hotspot.This paper deal with the problem of long-distance autonomous clustering of satellites,including autonomous gathering and autonomous phase distribution using distributed control.Firstly,the Gaussian perturbation equations are proposed.Then,for each satellite,artificial potential functions are established based on the absolute orbital elements to find the steepest descending direction.Based on that,an autonomous micro-thrust control algorithm is proposed.A Monte-Carlo simulation is performed to analyze the collation avoidance capability of the satellite.By analyzing the convergence of the orbital elements,the algorithm is verified having the ability of reconfiguration.The autonomous micro-thrust control algorithm can be applied to orbital transfer or satellite aggregation.In order to analyze the fuel consumption of this algorithm,the simulated annealing algorithm-based fuel optimal control is proposed,and the numerical simulations are carried out.By comparing the autonomous low-thrust control algorithm with the fuel optimal control,the fuel consumption of the autonomous micro-thrust control algorithm is verified reasonable.Improve the autonomous micro-thrust control algorithm in order to make it suitable for phase distribution.Firstly,the satellite-perceiving radius autonomous planning algorithm is proposed.On this basis,switching function of the target is modified,so that the outermost satellite can adjust phase at a faster speed.The other satellites will follow the outermost satellites to achieve phase dispersion.Then,by improving the micro-thrust control algorithm,the maximum semi-major axis deviation during the phase modulation of the satellite is limited.Finally,through numerical simulation,it is verified that the algorithm is suitable for phase distribution.