Establishment of Satellite Formation with Initial ... - Vol 10 (2018)

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Pegasus XL from Orbital Sciences Corporation (2000), insertion error is given in terms of semi-major axis and inclination deltas from the intended values, and ...
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Establishment  of  Satellite  Formation  with  Initial  Uncertainty   by  Control  Lyapunov  Function  Approach M.  Navabi*,  M.  Barati,  Hossein  Bonyan  Khamseh 6KDKLG%HKHVKWL8QLYHUVLW\*&7HKUDQ,UDQ Abstract:,QUHFHQW\HDUVG\QDPLFVDQGFRQWURORIVDWHOOLWHIRUPDWLRQÀ\LQJKDYHEHHQDFWLYHDUHDVRIUHVHDUFK)URPWKH PLVVLRQSODQQLQJSHUVSHFWLYHWKUHHPDLQDUHDVQDPHO\IRUPDWLRQHVWDEOLVKPHQWPDLQWHQDQFHDQGUHFRQ¿JXUDWLRQKDYH EHHQGLVFXVVHG,QWKLVSDSHUDVWXG\RIIRUPDWLRQHVWDEOLVKPHQWXQGHULQLWLDOXQFHUWDLQW\LVSUHVHQWHG,QWKLVUHJDUG G\QDPLFVRIORZ(DUWKRUELWVDWHOOLWHIRUPDWLRQLVGLVFXVVHG&RQWURO/\DSXQRYIXQFWLRQDSSURDFKLVDGRSWHGWREULQJD GHSXW\VDWHOOLWHZLWKSHUWXUEHGLQLWLDOFRQGLWLRQVLQWRIRUPDWLRQZLWKDFKLHIVDWHOOLWH,QRUGHUWRWDNHDFFRXQWRIWKHLQLWLDO RUELWLQVHUWLRQHUURUXQFHUWDLQW\LQLQLWLDOFRQGLWLRQVRIWKHGHSXW\VDWHOOLWHLVFRQVLGHUHG)RUDFDVHVWXG\DUHODWLYHO\ small  formation  is  adopted,  with  air-­launched  Pegasus  as  the  launch  vehicle.  For  several  initial  conditions,  control   function  and  required  time  to  achieve  a  given  mission  accuracy  are  determined,  and  results  are  provided  as  illustration. Keywords:6DWHOOLWH)RUPDWLRQ/\DSXQRY)XQFWLRQ'\QDPLFV&RQWURO

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