Abstract: Anasymptoticstabilitystrategyfordeploymentandretrievalofatetheredsatellitesysteminellipticalorbitswasstudied.Firstly,thestabilityofaninplanetetheredsatellitesystemmovinginanellipticalorbitwasanalyzed,anovelratecontrolforstabilizingthedeploymentandretrievalwasobtained,andthestabilityconditionsforthecontrolweregivenbasedonLyapunovstabilitytheory.Then,aratebasedcontrolmethodtosuppressthelargeswingaroundthelocalverticalpositionoftetheredsatellitesystemwaspresented.Undersuchcontrolstrategy，thedeploymentandretrievalofthetethermadeanasymptoticstablemotiontowardstothepreassignedpitchangle.Theresultsshowthatthereexistsanorbitalregion,onwhichtheretrievalprocesscankeepasymptoticstability.Tooptimizetheeffectofretrievalcontrol,thepartitioningandsegmentingstrategiesontheorbitwereproposed.Finally,theproposedcontrollaw,stabilityconditions,andcontrolstrategiesweredemonstratedbythenumericalsimulations.

Key words: Deployment, Retrieval, Controllaw, Stabilitycondition, Tetheredsatellite