Analysis on Orbit Characteristics of a Space Object Based on a Low Thrust Orbit Transfer
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1 Aalyi o Obit Caacteitic o a Space Object Baed o a ow Tut Obit Tae Zu Kaijia, Xu Dog, Gao Jigli, Yag Yag, i Saomi State Key aboatoy o Atoautic Dyamic, Xi a Satellite Cotol Cete, Abtact: Duig te obevatio o te pace object, oce te pace object uveillace ytem ceate a obit elemet et, it will apidly coelate te wole tajectoy, calculated accodig to te obeved data, wit te obit elemet et i ode to complete te matcig o te pace object. We colliio o obit maeuve evet appe, te obit o te pacecat will cage, ad it amplitude will cloely elate to te ize o debi ad te elative tate o two object. Ti pape compae te eect o te petubatio oce ad tat o a low tut obit tae o te obit, ad accomplie te obit maeuve aemet ad obit caacteitic aalyi baed o baic obit dyamic imulatio, wic povide te oudatio o te coelatio o pace object. Key wod: low tut, obit dyamic imulatio, obit matcig 1 Itoductio Geeally, te pace object egulaly move o a cetai obit, it obital elemet ae te mai paamete to epeet it motio law, icludig te altitude, ape ad motio caacteitic o te obit. Accodig to te altitude, obit ca be claiied a EO, MEO ad HEO; accodig to te ape, obit ca be claiied a ea-cicula obit, mall elliptic obit, ad lage elliptic obit; accodig to te motio caacteitic, obit ca be claiied a Su ycoou obit, geoycoou obit, ad geotatioay obit. I te iluece o eac petubatio oce i eglected, te pace object all move alog te ieet obit, it ix obital elemet ae te mai paamete to detemie it motio law, ad alo te oudatio o pace object idetiicatio. Tu, pace object idetiicatio ca be ealized toug matcig obevatio data wit te obital elemet o ow object. Howeve, te pace object i ot oly ilueced by te uiveal gavitatio, but alo ilueced uavoidably by te ditubace o ote oce uc a te depatue o teetial uiveal gavitatio om te cetal gavitatioal ield, emaide atmopee dag, te gavitatio o te Su ad Moo, te electomagetic ield eect, ola ligt peue, etc.); tu, te obit will ially cage. At te ame time, te pace object, epecially te i-obit pacecat, will peom obit adjutmet o obit maeuve accodig to te equiemet o te miio. Te obit will be itataeouly caged a lot toug te covetioal impule obit tae, wic ca be aalyzed by compaig obital elemet. Howeve, te obit will be caged lowly toug te low tut obit maeuve o toug te iluece o petubatio, o bot ae eaily coued. I ode to ae te iluece o te petubatio ad tat o low tut,
2 ti pape accomplie te tooug aalyi ad imulatio baed o a low tut maeuve model ad a petubatio model, wic lay te oudatio o te upcomig pace object obit idetiicatio.. Dyamic model Te electio o a appopiate dyamic model will iluece bot te computatioal time ad te itegal accuacy. Sice te obital elemet will cotiuouly ad lowly cage ude te ecula eect o low tut, it i eceay to impove te itegal velocity ad avoid te igulaity o digital itegatio. Ti pape applie te geealizatio modiied equatoial obital elemet to avoid te appeaace o a igulaity duig te digital itegatio. Te equatio o motio ae: 1 i 1 1 )] i i [ )] [ i X X g g g X t t t wee, i, 1 1 i X g Accodig to te above equatio, te modiied equatoial obital elemet ca be coveted ito Cateia coodiate ), v, ow a below: ) i ] )i [i ] i ) [ z y x ] i [ ] ) i ) [ 1 ] ) )i [i 1 g v g v g g v z y x
3 wee 1 g i Coideig te obit deciptio o te pace object, te modiied equatoial obital elemet ca be coveted ito claical obital elemet. a e e 1 ) ) g ei ) ta i / ) ta i / )i 3 Petubatio Aalyi Wit te vaiatio o te obit altitude, te magitude o eac petubatio oce alo cage ceaelely, tu te iluece o te obit o te pacecat i alo dieet. Te pacecat i EO i maily ilueced by te teetial o-peical gavitatioal petubatio ad te atmopeic dag, ote petubatio acto ae all ige ode mall quatitie. We te obit altitude i elatively low le ta 600m, o example), te iluece o te ola/lua petubatio ad ola ligt peue ca be eglected; we te obit altitude iceae moe ta 800m), te iluece o atmopeic dag ca be eglected ad oly te iluece o teetial o-peical petubatio ca be ideed. Geeally, oly te iluece o te J tem petubatio i ideed i obit plaig. Table 3.1, 3. ad 3.3, epectively, ow te iluece o te mai petubatio oce o dieet obit altitude o te obit pedictio accuacy i te time iteval o oe day, wee Y mea te coepodig petubatio acto i te ecod colum o te let ad ae ideed uit: mete). Table 3.1: te iluece o eac petubatio oce o te low eat obit 350 m) Degee o te eat 5 potetial uctio Petubatio oce Eo o oe day Atmopei c dag Sola ligt peue Sola gavitatio ua gavitatio Poitio eo
4 i adial diectio i tagetial diectio i omal diectio Table 3. te iluece o eac petubatio oce o te medium Eat obit 600 m) Petubati o oce Eo o oe day Degee o te eat potetial uctio Atmopei c dag Sola ligt peue Sola gavitatio ua gavitatio Poitio eo i adial diectio i tagetial diectio i omal diectio Table 3.3: te iluece o eac petubatio oce o te medium obit 800 m)
5 Petubatio oce Eo o oe day Degee o te eat potetial uctio Atmope ic dag Sola ligt peue Sola gavitatio ua gavitatio Poitio eo i adial diectio i tagetial diectio i omal diectio
6 Fig. 3.1 Aalyi o te iluece o te low tut petubatio N)o EO atellite 350m) Fig. 3. Aalyi o te iluece o te low tut petubatio N)o EO atellite 600m)
7 Fig. 3.3 Aalyi o te iluece o te low tut petubatio N)o EO atellite 800m) 4 Aalyi o te iluece o obit elemet Ti pape aalyze te iluece o te low tut petubatio o te pace poitio o pacecat i te peviou ectio. Howeve, Kepleia obital elemet ae uually ued i te deciptio o te motio o pacecat. Ti pape aalyze te iluece o te low tut o te pace object obit elemet i ti ectio.
8 Fig 4.1: te iluece o te low tut petubatio o te obital elemet 0.083N) o EO atellite350m) Fig 4.: te iluece o te low tut petubatio o te obital elemet N)o EO atellite350m) Fig 4.3: te iluece o te low tut petubatio o te obital elemet
9 N)o EO atellite350m) Fig 4.4: te iluece o te low tut petubatio o te obital elemet 0.083N) o EO atellite600m) Fig 4.5: te iluece o te low tut petubatio o te obital elemet N)o EO atellite600m)
10 Fig 4.6: te iluece o te low tut petubatio o te obital elemet N)o EO atellite600m) Fig 4.7: te iluece o te low tut petubatio o te obit elemet 0.083N) o EO atellite800m)
11 Fig 4.8: te iluece o te low tut petubatio o te obital elemet N)o EO atellite800m) Fig 4.9: te iluece o te low tut petubatio o te obital elemet N)o EO atellite800m) Accodig to igue ow above, i te low tut iceae by a ode o
12 magitude, obital elemet will alo iceae coepodigly by te ame ode o magitude. Ude te iluece o low tut petubatio, te emi-majo axi will alo cotiuouly cage wit te eo iceaig, wic ow tat te obit eegy alo cage cotiuouly; te igt aceio o te acedig ode alo cotiuouly cage wit te eo iceaig, wic ow tat te obital plae alo cotiuouly otate. Howeve, te wole vaiatio will peiodically vibate wit te obital peiod. 5 Cocluio Duig te pace object idetiicatio, te ewly-omed cadidate obit elemet et mut ave a eie o ial examiatio beoe te eview o aalyt. I te poceig mode i a obit tae mode, te te obit idetiicatio algoitm will be ued to eac o te poible mote et o te obital elemet et. Te atellite will move ito a ew tajectoy ate a atellite maeuve. I te covetioal impule obit tae i ued, te te maeuve age i lage eoug ad te obit may cage a lot ate te maeuve. Te obital elemet et beoe te maeuve ca ot be ued to pedict te obit ate te maeuve, wic will caue te maeuve to be uable to be idetiied. I te low tut obit tae i ued, te iluece o te low tut ca be compaed ad aalyzed wit te iluece o te uual petubatio oce, te obit cage vey lowly ad ew obital elemet ca be coelated wit te coect mote atellite. Aalyt ca coelate te obital elemet et beoe maeuve ad toe ate maeuve, oweve, te ollowig acto mut be tae ito ideed duig te coelatio: 1. Wit te vaiatio o te obit altitude, te magitude o eac petubatio oce alo cage ceaelely, tu, te iluece o te obit o te pacecat i alo dieet. Te pacecat i EO i maily ilueced by te teetial o-peical gavitatioal petubatio ad te atmopeic dag, ote petubatio acto ae all o ige ode ad mall quatity. We te obit altitude i elatively low le ta 600m, o example), te iluece o te ola/lua petubatio ad ola ligt peue ca be eglected; we te obit altitude iceae moe ta 800m), te iluece o atmopeic dag ca be eglected, o et to be a tat.. We te obit pedictio eo divege, te magitude o te poitio eo i detemied by te alog-tac diectio, tat o te velocity eo i detemied by te adial diectio; te poitio eo ad velocity eo ocillate, but doe ot divege i te ote two diectio, te amplitude i geeally lowe by a ode o magitude. Accodig to te eidual aveage, te dieet ode will be pedicted a a epemei, te alog-tac ocillatio o te poitio divege alog dieet diectio, ome will divege alog te poitive diectio at te ode, ad ome alog te egative diectio; te alog-tac divegece ted o te poitio i jut ivee to tat o te adial divegece ted o te velocity. 3. Wit te iceaig o te low tut, te obit eo caued by te magitude eo ad diectioal eo alo iceae. Eac time, we te low tut iceae by a ode o magitude, te obit eo caued by eo i te adial, tagetial ad omal diectio alo iceae by te ame ode o magitude.
13 Reeece 1. iu ieg et.al. Obit Peciio Detemiatio ad a Sel-Calibatio Tecique o Spacecat [M]. Natioal Deece Iduty Pe, T. S. Kelo. Valiadatio o SGP4 ad IS-GPS-00D Agait GPS Peciio Epemeide. AAS Zeg Yigcao. Spacecat Fligt Dyamic [M]. Notwete Polytecical Uiveity Pe, 199, Wag Ruopu. Space Object Colliio Pedictio baed o TE [J]. Joual o ZegZou Ititute o Suveyig ad Mappig, Volume6 4). 5. R. ViCea de Moae. Obit Popagatio o Bazilia Satellite Uig Noad Model. Adv. SpaceRe. Vol.30, No., pp ,00 6. Si Jixi. A Kalma Filte Metod o Space Debi Obit Pedictio uig SGP4 Model [J]. Spacecat Eviomet Egieeig, 005, Volume 5). 7. Byoug-Su ee. Noad TE Coveio Fom Oculatig Obital Elemet. J.Ato.Space Sci.194), ) 8. Cag-Hwa Co. Noad TE Type Obit Detemiatio o eo Satellite Uig GPS Navigatio Solutio. J.Ato.Space Sci.193), )
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