SISTM KOORINAT K\T\B ANGRAIIK PRSAMAAN K\T\BAnggoto Ke|ompok:I Gede Arvo Duto Frotomo 1008405007I Mode Kesumovoso 1008405011I Gede Oko Artowon 1008405035I8 Futu W|sno Megovono 1008405047A.A.I.A. Condro Iswor| 1008405053I Gede Erv N|scohvono 1008405058SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I ofInIsI koordInnf cnrfosIus. ofInIsI koordInnf kufub. Iorbodnnn nnfnrn koordInnf cnrfosIus dnn koordInnf kufub. KonvorsI dnrI koordInnf kufub ko koordInnf cnrfosIus. Iorsnmnnn koordInnf kufub. CrnfIk koordInnf kufub.SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I ofInIsI koordInnf cnrfosIus.IndnbIdnngsnfudImonsI, koordInnf CnrfosIusdInvnfnknn dongnn snfu gnrIs Iurus vnngmomIIIkI sobunh fIfIk fofnp vnng mombngnI gnrIsforsobuf monjndI dunbngInn, vnngsoInnjufnvndIborIknn ponnndn nognfIf dnn posIfIf. KoordInnfInI dIsobuf gnrIs bIInngnn.SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I ofInIsI KoordInnf CnrfosIusIndn koordInnf CnrfosIus dun dImonsI nfnuIobIh, koordInnf CnrfosIus ndnInh gnrIs-gnrIsvnngsnIIngfognkIurus snfusnmnInIn, vnngmorupnknn gnrIs bIInngnn, dnn snIIngborpofongnn dI fIfIk fofnpnvn.SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I KoordInnf CnrfosIusKundrnn I: (+, +)Kundrnn II: (-, +)Kundrnn III: (-, -)Kundrnn IV: (+, -)SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I

/SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I ongnn monnrIk gnrIs bnnfu dnrI fIfIk I ko fIfIknsnI, mnkn nknnforbonfuksogIfIgn sIku-sIku,sohInggn jnrnkdnrIfIfIkIdnnfIfIknsnIdnpnfdIhIfung dongnn monggunnknn rumusIhvfngorns, vnIfu:sohInggn:

v x d v x dSISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I jIkn d morupnknn jnrnk nnfnrn dun fIfIk, socnrnumum d dnpnf dIhIfung monggunnknnporsnmnnn sobngnI borIkuf :

v v x x dSISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I ofInIsI koordInnf kufub.SIsfom koordInnf kufub ndnInh sIsfom koordInnfdundImonsI dI mnnnsofInpfIfIkpndnbIdnngdIfonfuknn oIoh jnrnk dnrI fIfIk fofnp dnn sudufdnrI sumbu vnng fofnp. TIfIk fofnp dIsobufdongnnkufubdnnsuduf dI nnfnrnsInnr vnngmomnncnrdnrIkufubdnnsumbufofnpdIsobufsuduf kufub.SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I Iorbodnnn koordInnf kufub dongnn koordInnf cnrfosIus.Iorbodn dongnn sIsfom koordInnf CnrfosIus, dnInm koordInnf kufub Iofnk sunfu fIfIk dnpnf dInvnfnknn dnInm fnk hInggn bnnvnk koordInnf. OIoh knronn Ifu, fIfIk vnng snmn dnpnf dInvnfnknn dongnn koordInnf poInr fnk hInggn bnnvnknvn (r, 0 + n 360) nfnu (-r, 0 + (2n + l) l80), dImnnn n ndnInh bIInngnn buInf. SoInIn Ifu, fIfIk kufub dnpnf dIInforprofnsIknn sobngnI (0, 0) unfuk sofInp suduf.SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I KonvorsI dnrI koordInnf kufub ko koordInnf cnrfosIus.SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I ApnbIIn koordInnf CnrfosIus dnn koordInnf kufub dIhImpIfknn, mnkn nknn fordnpnf hubungnn sobngnI borIkuf:x r cos 0v r sin 0nfnu v x r

rxrvarccos arcsin 7SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I Iorsnmnnn koordInnf kufub.Iorsnmnnn vnng monvnfnknn kurvn nIjnbnrdnInm koordInnf kufub dIkonnI sobngnIporsnmnnn kufub. nInm bnnvnk knsus,porsnmnnn dnpnf dIjoInsknn dongnnmondofInIsIknnrsobngnI fungsI 0. KurvnvnngdIhnsIIknnkomudInnfordIrI dnrI fIfIk-fIfIkdnrIbonfuk (r (0), 0) dnndnpnf dInnggnp sobngnIgrnfIk fungsI kufub r.SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!IOI (r, 0)rd000- 00Sumbu kufubIorsnmnnn KoordInnf Kufub !nfuk CnrIsSISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I Iorsnmnnn KoordInnf Kufub !nfuk CnrIsIorsnmnnn gnrIs kufub vnng moInIuI fIfIk kufub(fIfIk nsnI) socnrn sodorhnnn dInvnfnknn dongnn0 = 00. JIkn gnrIs forsobuf fIdnk moInIuI kufub,bornrfImompunvnI jnrnkd>0dnrIgnrIsvnngmoInIuI fIfIk kufubSISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!IMIsnIknn 00 ndnInh suduf vnng dIbonfuk oIoh sumbu kufub dongnn gnrIs vnng fognk Iurus forhndnp gnrIs vnng dIkofnhuI, mnkn I (r, 0) ndnInh sombnrnng fIfIk pndn gnrIs forsobuf sohInggn: cos

7 7

drSISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I Iorsnmnnn KoordInnf Kufub !nfuk !IngknrnnJIknsobunhIIngknrnnmomIIIkI pusnf dI fIfIkkufub dnn momIIIkI jnrI-jnrI n, mnknporsnmnnnnvn ndnInh r = o. JIkn IIngknrnnborpusnf dI (r0, 00), porsnmnnnnvnnknnIobIhrumIf, kocunII npnbIIn r0= o.SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!Imnkn bordnsnrknn hukum CosInus, o2 = r2+ o2-2ro coe (000)Iorsnmnnn koordInnf kufub dnrI IIngknrnn:(n, 00)I (r, 0)O00Sumbu kufub cos

7 7, rSISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!IIorsnmnnn KoordInnf Kufub !nfuk IrIsnn KorucufI=0Sumbu kufub!I(r, 0)rd00SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I JIkn sobunh IrIsnn korucuf dIposIsIknnsodomIkInnrupnsohInggnfokusnvnforIofnkdIfIfIkkufubdnndIrokfrIksnvnndnInhsojnuhdsnfunn, mnkn porsnmnnn |II|= 0|I!| nknnmompunvnI bonfuk:nfnu, socnrn okuIvnIon: )

cos 7 7 r d e r cos

7 7

eedrSISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I CrnfIk koordInnf kufub.SoInIn gnrIs, IIngknrnn, dnn IrIsnn korucuf,fordnpnf grnfIk koordInnf kufub vnng IobIhkompIoks, soporfIgrnfIkborupnbonfukmnwnr,spIrnI ArchImodonn, IomnIscnfo, IImncon, dnncnrdIoId. CrnfIk-grnfIk forsobuf momIIIkIporsnmnnn kufub vnng sodorhnnn nnmunmomIIIkI porsnmnnn CnrfosIus vnng cukuprumIf.SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I!nfukmomudnhknnmomnhnmI sobunhgrnfIk, fordnpnf cnrnpongujInn vnng momndnI unfuk mongofnhuI kosImofrIsnn dnInmkoordInnf kufub.l. CrnfIknknnsImofrIs forhndnpsumbu-(sumbukufub, jIknkIfn monggnnfI (r, 0) dongnn (r, -0) (nfnu dongnn r. a-0(r , 0)(r , -0)0-0SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I2. CrnfIk nknn sImofrIs forhndnp sumbu- (gnrIs 0 = a/2)ikakita mengganti persamaan r , 0) dongnn (-r , -0) (nfnudongnn (r , a -0)) nknn monghnsIIknn sobunh porsnmnnnvnng okuIvnIon.(r, 0)(-r, -0)(r , a -0)0-0SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I3. CrnfIknknnsImofrIsforhndnpfIfIknsnI (kufub) jIknmonggnnfI (r, 0) dongnn (-r, 0) (nfnu dongnn (r, a 0))nknn monghnsIIknn porsnmnnn vnng okuIvnIon.(r, 0)(-r, 0)(-r, a0)0SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I CnrdIoId dnn !ImnconApnbIIn fordnpnf porsnmnnn sobngnI borIkuf:dImnnn n dnn b posIfIf, mnkn grnfIk-grnfIk forsobuf ndnInh !Imncon,dnn npnbIIn n=b mnkn grnfIknvn ndnInh CnrdIoId.7 cos - , r I7 sin - , r I SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I !omnIscnfonrI porsnmnnn:ndnInh kurvn borbonfuk nngkn doInpnn !omnIscnfo.7cos

, r I 7sin

, r I SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I Kurvn MnwnrIorsnmnnn kufub vnng borbonfuk:moroprosonfnsIknn kurvn borbonfuk bungn vnng dIsobuf mnwnr. Mnwnr forsobuf mompunvnI n mnhkofn bungn, jIkn n gnnjII dnn 2n mnhkofn bungn jIkn n gonnp.7 n , r cos 7 n , r sin SISTIM KOO!IAT K!T!I AC!AIIK II!SAMAA K!T!I SpIrnI ArchImodInnCrnfIk r = n0 dIsobuf spIrnI ArchImodInn,sodnngknn grnfIk r = n0b0dIsobuf spIrnIIognrIfmIk.