An Continuous Thrust Trajectory Design Method Based On Fourier Series Expansion

Future space activities require advanced orbital maneuver abilities including fastness,autonomy and accuracy.Recently,orbital maneuvers of spacecrafts under continuous thrust,which is significant in aerospace engineering field,attract more and more attentions.As an important part in continuous thrust trajectory design field,the shape-based trajectory design method owns apparent value of application and theory.In order to gain a suitable preliminary orbit under continuous thrust,a novel spacecraft continuous thrust trajectory design method using Fourier series is investigated in this dissertation,which offers some new ideas for maneuver trajectory design.The main contents and achievements of this dissertation are summarized as follows.1)The development of the research about the shape-based method is analysized;Then,the problems in recent shape-based method are discussed.At last,thesignificance of this research is proposed.2)The spacecraft two-dimension(2-D)dynamics model under the polar coordinateis developed.Based on 2-D model,a spacecraft maneuver trajectory designmethod using Fourier series(Fourier-series method),which is combined withoptimal theory,is investigated.Meanwhile,this proposed method can be appliedto the time-free case.3)Based on 2-D model,the Fourier-series method’s application is extended byconsidering the hybrid low-thrust propulsion system(solar sail & electricalthruster).The features of shape-based trajectory and thrust under the hybridlow-thrust propulsion system is analysized.4)The spacecraft three-dimension(3-D)dynamics model under the cylindricalcoordinate is developed.Based on the 3-D model,the Fourier-series method withthrust constraint is studied.A 3-D trajectory with thrust constraint is gained bythis proposed method.