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ASTRODYNAMICS @ ACADEMIPCR ESSN,e wY orakn dL ondon APPLICATIONS AND ADVANCED TOPICS 1967 ROBERMT. L .B AKERJ,R . CompuStceire nCcoersp oration anUdn iveorfCs ailtiyf ornia LoAsn geClaelsi,f ornia " COPYRIG@H T1 967B,Y ACADEMIPCR ESISN C. ALLR IGHTRSE SERVED NOP ARTO FT HIBSO OKM AYB ER EPRODUCIENAD N Y FORMB,Y P HOTOSTMAITC,R OFIOLRM A,N Y OTHER MEANSW,I THOUWTR ITTEPNE RMISSFIROONM T HE Tom yw ifBeo,n nie PUBLISHREERPSR,O DUCTIINOW NH OLEO RI NP ART FORA NYP URPOOSFET HEU NITESDT ATEGSO VERN MENTI SP ERMITTED. THIWSO RKR EPRESENITNPS A,R TR,E SEARSCPHO N SOREBDY T HEU NITESDT ATEASI RF ORCEU NDER AF49(638)-M4O9N5I TOREADT UCLA BY THE AIRF ORCEO FFICOEF SCIENTIRFEISCE ARCIHT. ALSOR EPRESESNOTSM ER ESEARCSHP ONSORBEYD THEO FFICOEF T HEC HIESFC IENTILSOTC,K HEED CALIFORNCIOAM PANYA ND COMPUTESRC IENCES CORPORATION. ACADEMIC PRESSI NC. 11F1i fAtvhe nNueew,Y or1k0 00N3.,Y . UnitKeidn gdEodmi tpiuobnl ibsyh ed ACADEMIC PRESSI NC.( LONDON)L TD. BerkSeqlueayHr oeu sLeo,n dWo.n1 令 LIBRAROYF C ONGRESCSA TALOCGA RDN UMBER6:7 -14535 PRINTEIDN T HEU NITESDT ATEOSF AMERICA PREFACE Thivso lurmeep reasm eondtisfi caantdei xotne nosfti hoaend vanced sectoifto hnoesr igeidniatolifA o nIn n trodtuoAc sttiroond ypnuabmics, lisihn1e 9d6 F0r.e msaht eirisin acll ountd ehsdeu bjoefec ltesc tromagnetic dragge;n errealla tivityo;r bdpiertte elrimmiiannnaadtr iyco onr rection proce(dofrue rxea mpdleea,lw iintbgho tmhi nimum-vfialrtiearnicneg ancdo nvenlteiasosqntua alre exst)e;no sfvi aorni ation-porfe-parameters dictrieognu;l atreiczhantaiinqosdunof e osr;Ot thh.se erc t(iofroe nxsa mple, dealwiintaghp plictaolt uinoaannrisd n terpltarnaejteacgrteyon reireasl; perturbaantsdio oo nwn)hs i;cl oev esrtianngmd aatredor ffieaarul n,i que arrangoeftm oepnwithci sbc ehn etfihttees a cihtneh iraht ta bse edne veloped int haec tpuraolc oefts esa cfhriontmgho er igvionlauolmv eet rhp ea st sevyeena Irnts h.ri esg saormdne i netnye-ewsx cieixrsh easvb ee eand ded. Iti st hien tenotfti hoaenu thtooer m pltohyie n trodvuocltuomrey, "AnI ntrodtuocA tsitroond ynaasam p ircesr,e"q vuoilsutimotte he i s advanvcoeldua mneid ti se mploiynte hdfi ass hiinto hnae s tronautical courosffeesra ettd h Uen iveorfsC iatlyi faotrL noAisna g elTehsu.s , three adweifilrnl dr atfrheeqru cernotrs esf erteotn hc"eei ntroductory volumwei"t htihmnea ibno doyft htee xt. Thivso luimmsee atn什ot1 t1hgea bpe twteheeenn ginheaenrodiobnkgs , 吹 whitcehnr da pitdobl eyc ome oaunttddh ameto resedo ,p histteixctast,e d whitcehne di tthobe ero vetrhh ee aodfm osste nuinoirrv seisttyu dents or tol apcrka cticEamlp hvaiasgslii usvet e.oan l terpnraotcievadenu tdrh ees limitoafet aicrohan tsth heatrno a c olleocfft oiroamnstu lob e utiinl ized cookbfoaoskho irco onm mittomt eemdo Erayc.ch h apitnecrla uc deerst ain amouonfat d vanecxepdo sEilteimoenno.t rta erdyi ous background ma teriipsar le seinntt haeepd p endMioxsoetfts h.e anaardleey rsifevrseo dm firsptr incainpdal,le tsh otuhegemh p haisnti hste e ixstu popnr actical ．． VII ．．． VIII PREFACE PREFACE ix applicraattihtoehnra e nl aborate maptrhoeotfmhsate,te ixdctoa elis n BakeJro,aB no ylLei,n dFao ltazn,dJ anCelto dfewlhtote yrp,me adn oyf elude fiofvtdeyer r ivaotffi uonndsa mernetlaalt ioAntst hhieepn sdo. f threo ugdhr afPt.Rs ..P eaboKduyr,Ft o rstGeerzG,ae deoBne,r nard eacchh apatl eiros fkt e eyq uatiispor ness eanntdae sad f urtahietdrot he CohlaDna,v Pei erTceedM, o yeJro,s eBpahl Dlo,n aLladm aPre,d ro readaes ru mmatrayb olfet haes trodycnoanmsitcma onrtfrese quently EscobPaaluK,lo skeEldaw,a Pridt kJi.Ln .J, u nkiWn.Es .,N allRyo,b ert emploiynec da lcusli asgt iivooennnp ag4e4sa1 n d4 42T.h eg lossoafr y R.Lockarnyd,H owarDdi elmparnonv imdeew di tthe chnmiactaaellr i terpmrso viasd eelsf -coknettyao ai lnolef d atshter ononmoimceanlc lature ancdo nstrsuucgtgievseft oimroa nnosyf t hseu bsecPtrioofnesSs.as moure l utiliintz hetdee xatn de acdhe finiitnicolnua dr eefse rteotn hcseee ction Herriecskp,e chiaacslo lnyt,r ibbouttdhei dr ectly,s petchsirufiogcug gehs whetrhete e rimst reaitnte hdte e x(tT.hg el ososfas ryym boflosu,in ndt he tioannsdt heoraineidsn ,d irtehcrtoltuyhg,yeh e aorfts r aitnhiahntegh as introduvcotlouirmyesn , o rte peastienidcta e p pleiqeusa wlelltylo b oth provitdheaedu thaonrdm anoyf t hoet hceorn tritbout thtoeer xst . volumTehser. e)a diesnr o etx pecttohe adv hea da p riboarc kgrionu nd clasmseicchaalon ria sctsr onaonmdfy,ot rh amatt tseurffi,c ipernetr equisites LosA ngelCeasl,i fornia R.M.LJ.rB.., fotrh beo owko ulbdef reshamnasdno phomcoorueri snpe hsy soirec nsg i neerimnagt,h emactoiucraislnei sn tecgarlaclu alnudas fa ,m iliawriitthy thien troduvcotlourmFyeo .rt hmeo raed vanrceeaddt ehrre a thceorm prehenlsioisfvtr e e fersehnocueslsed r avsea k etyo t hlei ter(auttpuo r e 196f7o)tr h peu rpoofsf eu rtrheesre aarncdsh e lf-study. Becaaunsa en nottaatbeoldfce o nteonftt hste e ixsatv ailsaebplaer ately, litdtelteia sri elq uiirnte hdde i scuosfsti hotene xstc'oshp eer Ceh.a pters 1,a3n,d4 d isctuhsoesr bit·detearnmdoi rnbapitrtie odni cTthienoun. 、 meriecxaalm pfloeusnh de rsee ravsea g uitdoet hper actuitcialli zation oft haen alyIstii ses m.p hastihzaeetad c ahn de veorryb diett ermination proceidunrcel uad ceosm plieltleu stnruamteirveiexc aamlp Tlhee.sa er e indispeanisdtasotb hlpeer opuenrd erstaanndid mipnlge menotfta htei on procedCuhraepst2.ei rn voald veetsa aiclceodu nfotrti hnvega ripoeurs turbaftoirvcteeh sai tn fluesnpcaec emcortaifotn ianv celrudyde itnagil ed examinoaftr iaodni aptrieosnsa unrdder apge rturbBaetciaotunhsstee.e xt ism eanttob ea p ractoinceba,ol t fho tre achaenrdfos rp racticing aero spasccei entthisesu tbsjo,ef tc htae p plicoafat lioloft n h per oceemdaing teriinta hlia nsd i nt hien troduvcotlouirmspye a ramoiunin mtp ortance andt hlea sttw oc haptterreasap tp lictaotl iuonnaasnr d i nterplanetary orbiatnsdt rajecEtaocrchih easp.ct oenrt aeixnesr coifvs aersi doeugsr ees ofd ifficuslotmyoe,f w hiclhe atdoe xtensoifto hnes, _theory. Att heU niverosfCi atlyi foLronsAi nag,e ltehsae,d vantceexhdta s beeenm ploiynec do nnecwtiitoohnn eu ndergraadnudoa ntege r aduate courTsheeu. n dergrcaoduuraistnoee r bdiett ermiuntaitliCiohznae pst1 e r fotrh fier shta lofft hqeu aratnedra class-porrobjietc-td etermination numersitcuafdloy tr h see cohnadl Tfh.eg raducaltades rsa wfsr osme lectseedc tioofCn hsa pt2e trhsr ou6g.h Thea uthwoirs hteoas c knowltehdeegx et ensseirvveoi fcM eesr rilee Voldw,h oo rganaiznedrd e tytphefiedn amla nuscarnidop ftB onnie