ࡱ> (cG Ҋbjbjَ U2KD]$P&,82ff||I4} 7777777$:<7 @I7 |wf x8|78,d^7 : k27R@=A x37 ODREIVANJE ULASKA U TERITORIJALNO MORE U REALNOM VREMENU Miljenko Lapaine, Dra~en Tuti Sveu iliate u Zagrebu, Geodetski fakultet, Zagreb, Ka ieva 26 Sa~etak Teritorijalno more je morski pojas, zajedno s podmorjem i zra nim prostorom iznad njega, koji se u odreenoj airini prote~e uzdu~ obale ili unutraanjih morskih voda obalne dr~ave. Pojas teritorijalnog mora mjeri se od polazne crte, a njegova vanjska granica ujedno je i dr~avna granica na moru. U radu je objaanjeno kako se mo~e u realnom vremenu detektirati ulazak u teritorijalno more neke dr~ave, odnosno izlazak iz njega. Za to su potrebni GPS prijamnik i osobno ra unalo u vozilu. Odgovarajui softver treba imati pristup bazi podataka o granici teritorijanog mora. Ti podaci, kao i koordinate dobivene od GPS ureaja moraju se transformirati u zajedni ki koordinatni sustav. Predlo~eni postupak ilustriran je na primjeru hrvatskoga teritorijalnog mora. REAL TIME DETERMINATION OF ENTERING INTO TERRITORIAL SEA Abstract The territorial sea is a sea belt, together with its seabed and the aerial space above it that extends in a certain width along the coast or the internal waters of the coastal state. The territorial sea width is determined from a baseline, and the territorial sea outer limit is also the state boundary at the sea. The paper explains how entering into, or going out of the territorial sea of a state can be detected in the real time. The needed equipment is a GPS receiver and a personal computer on board. The appropriate software should has the access into the territorial sea boundary database. These data as well as the coordinates supplied by the GPS device have to be transformed into the same coordinate system. The proposed method is illustrated by an example of the Croatian territorial sea. 1. UVOD Napomenimo na samom po etku da se u ovome radu ne bavimo hrvatskom dr~avnom granicom na moru prema Sloveniji, Bosni i Hercegovini i SR Jugoslaviji jer te granice nisu slu~beno utvrene. Prema Rudolfu [1], unutraanje morske vode (engl. internal waters, franc. eaux intrieures, rus. vnutrennie vody, nacional'nye vody, apanj. aguas interiores) su dijelovi mora izmeu polazne crte od koje se mjeri airina teritorijalnoga mora i obale. Obuhvaaju morske prostore luka, zaljeva, uaa rijeka, zatvorena mora, pod odreenim uvjetima dijelove mora izmeu oto noga niza i kontinentskog dijela kopna i izmeu samih otoka. `irina unutraanjih morskih voda nije ograni ena jer ovisi o konfigu-raciji i polo~aju obale i otoka. Unutraanje morske vode su pod suverenoau obalne dr~ave jednako kao i njeno kopno. Meunarodno pravo jedino ureuje povla enje vanjske granice unutraanjih morskih voda jer je ona ujedno i polazna crta od koje se mjeri airina teritorijalnog mora. Hrvatski Pomorski zakonik [2] donijet 1994. godine detaljno odreuje hrvatski morski i podmorski prostor te ureuje sigurnost plovidbe, materijalno-pravne odnose, re~im pomorskog dobra i drugo. Prema l. 19 Pomorskog zakonika hrvatske unutraa-nje morske vode obuhvaaju (1) luke i zaljeve na obali kopna i otoka, (2) uaa rijeka i (3) dijelove mora izmeu obale kopna i ravnih polaznih crta koje spajaju odreene to ke na obali mora i na obali otoka. Prema Rudolfu [1], teritorijalno more (engl. territorial sea, franc. mer territoriale, rus. territorial'noe more, apanj. mar territorial) je pojas mora pod suverenoau obalne dr~ave umjerene airine, u kojem strani brodovi u~ivaju pravo neakodljivog prolaska. Prema Rudolfu [3], teritorijano more je morski pojas, zajedno s podmorjem i zra nim prostorom iznad njega, koji se u airini od 3 do 12 morskih milja prote~e uzdu~ obale ili unutraanjih morskih voda obalne dr~ave. Koncepcija o jurisdikciji obalne dr~ave izvan njenog kopnenog podru ja i na dio mora uz obalu mo~e se pratiti od po etka 14. stoljea, a nalazila je svoje uzore u jurisdikciji koju je Rim imao u Sredozemlju. Do danas, meutim, nije se uspjelo postii opi sporazum o airini teritorijalnog mora premda veina dr~ava u svijetu smatra da je airina ograni ena s 12 morskih milja. Pojas teritorijalnog mora mjeri se od polazne crte, a njegova vanjska granica ujedno je i dr~avna granica na moru. Tijekom dugog vremenskog razdoblja teritorijalno more je ozna avano razli itim terminima: obalne vode, marginalno ili rubno more, pomorski pojas i dr. (engl. coastal waters, littoral sea, marginal sea, maritime belt i dr.). Uz to se termin teritorijalno more upotrebljavao i za ozna avanje samog teritorijalnog mora i za itav pojas mora u kojemu je obalna dr~ava imala jurisdikciju (za unutraanje morske vode i teritorijalno more zajedno). Termin je danas openito u upotrebi, premda se prigovara da upuuje na zaklju ak kako je teritorijalno more u istom pravnom polo~aju kao i kopneno podru je (teritorij) obalne dr~ave, ato naravno nije to no s obzirom na pravo neakodljivog prolaska stranih brodova teritorijalnim morem. Pojas teritorijalnog mora ima svoje granice: prema kopnu granica je polazna crta (temeljna crta, osnovna linija), a prema pu ini crta koja je od polazne crte udaljena onoliko koliko iznosi airina teritorijalnog mora. Prema Rudolfu [1], polazna ili osnovna crta (engl. baseline, franc. ligne de base, rus. ishodnaja linija, apanj. linea base) je crta od ijih se to aka, u pravcu otvorenoga mora, mjeri airina teritorijalnoga mora. Mo~e biti (a) normalna polazna crta i (b) ravna. Normalna polazna crta jest crta niske vode uzdu~ obale, onako kako je nazna ena na pomorskim kartama krupnog mjerila koje obalna dr~ava slu~beno priznaje. Pod terminom crta niske vode valja razumijevati to ke na obali do kojih se spuata morska razina za oseke u fazi najni~ega vodostaja ~ivih morskih mijena. Ta se crta mo~e utvrditi to kom najni~e opa~ene niske vode (to kom na obali do koje se more pod utjecajem ~ivih morskih mijena najviae povuklo) ili utvrivanjem prosje ne najni~e niske vode. Izbor izmeu tih dviju metoda prepuaten je obalnoj dr~avi, jer se za polaznu crtu uzima crta niske vode uzdu~ obale kako je nazna ena na pomorskim kartama krupnog mjerila koje obalna dr~ava slu~beno priznaje. Ravna polazna crta mo~e se povui  ako su ispunjeni odreeni uvjeti  spajanjem prikladnih (najisturenijih) to aka kontinentskih dijelova kopna i/ili otoka. Bivaa Jugoslavija bila je jedna od prvih dr~ava koja je prihvatila ravne polazne crte 1948. god. Taj je sustav ravnih polaznih crta proairen 1965. u jednu neprekidnu crtu, a bio je ocijenjen kao model ispravne i korektne primjene ravnih polaznih crta. Mnoge dr~ave u svijetu u inile su pretjerane zahtjeve na ravne polazne crte, suprotno uputama lanka 7 Konvencije o pravu mora iz 1982. Polazna crta bivae Jugoslavije nije nikad bila osporavana od drugih dr~ava i Hrvatska nastavlja s njenom primjenom. Na kraju zasjedanja tree Konferencije UN o pravu mora 1982. donijeta je konvencija koja je stupila na snagu 16. studenoga 1994., a Hrvatska joj je pristupila 5. travnja 1995. Prema Rudolfu [1, 3], vanjska granica teritori-jalnog mora (engl. outer limit of the territorial sea, franc. limite extrieure de la mer territoriale, rus. vnenjaja granica territorijal'nogo morja, panj. lmite exterior del mar territorial) je crta kojoj je udaljenost svake to ke od najbli~e to ke polazne crte jednaka airini teritorijalnog mora obalne dr~ave. 2. ODREIVANJE GRANICE TERITORIJALNOGA MORA Slu~bena kartografska projekcija za podru je bivae Jugoslavije bila je Gau-Krgerova projekcija s pomou koje je itavo podru je dr~ave bilo preslikano u tri zone. N. Fran ula iz Zavoda za kartografiju Geodetskog fakulteta Sveu iliata u Zagrebu predlo~io je za karte sitnih mjerila Hrvatske Gau-Krgerovu projekciju sa srednjim meridijanom 16o30' [4]. Da bi se smanjile linearne deformacije uveo je linearno mjerilo 0.9997 na srednjem meridijanu. Postavilo se pitanje bi li se ta projekcija mogla primijeniti i pri odreivanju vanjske granice teritorijalnog mora Hrvatske. Nakon izvraenog ispitivanja [5], analiza dobivenih rezultata pokazala je da razlika izmeu duljine geodetske krivulje i duljine pravocrtne spojnice u toj projekciji za duljine od 12 morskih milja nigdje ne prelazi 10 m. Dakle, za potrebe odreivanja vanjske granice teritorijalnog mora mo~e se upotrijebiti dio pravca umjesto geodetske krivulje u izabranoj Gau-Krgerovoj projekciji ukoliko nas zadovoljava to nost od 10 m. U nastavku izlaganja pretpostavlja se da je tako, i to omoguava rjeaavanje postavljenog problema u ravnini. Zamislimo da je osnovna crta izlomljena crta koja se sastoji od velikog broja segmenata. Granica njezinoga teritorijalnog mora sastojat e se od kru~nih lukova i du~ina. Kru~ni lukovi imat e srediate u to kama osnovne crte i polumjer jednak zadanoj airini teritorijalnoga mora. Popis to aka na hrvatskoj polaznoj crti, zajedno s nekoliko otoka koji le~e izdvojeno te ih treba takoer uzeti u obzir, sadr~avao je 850 to aka. Crta vanjske granice hrvatskoga teritorijalnog mora konstruirana je najprije u ravnini Gau-Krgerove projekcije (detaljnije vidjeti u [6, 7, 8]). U to doba joa nismo ovladali AutoCAD Mapom [9], programom s pomou kojega se problem odreivanja vanjske granice teritorijalnog mora mo~e rijeaiti mnogo lakae. Naime, upotrebom analize koridora (buffer analysis, buffering) mogu se u geoinformacijskim sustavima lako utvrditi objekti unutar zadane udaljenosti od elemenata u vornoj, mre~noj ili poligonskoj topologiji. Primje-rice, mo~e se zadati koridor s obje strane rijeke da bi se prikazalo mogue airenje poplave u ravnini. Prema tome, odreivanje granice teritorijalnoga mora mo~e se interpretirati i kao konstrukcija koridora zadane airine oko mre~ne topologije koju ine poligoni koji prikazuju osnovnu crtu. Uz pomo AutoCAD Mapa kreirana je odgovarajua mre~na topologija i definiran koridor airine 12 morskih milja. AutoCAD Map je iscrtao koridor prikazan na slici 1 za nekoliko sekundi. Za kona no rjeaenje bilo je potrebno samo izbrisati nepotrebni dio crte.  Slika 1. Hrvatska osnovna crta i primjena mre~ne topologije s odgovarajuim koridorom 3. ODREIVANJE PRESJEKA PUTA I GRANICE Problem odreivanja presjeka puta i granice svodi se na problem odreivanja presjeka du~ine i poligona. Poligon predstavlja granicu i definiran je u bazi podataka. Du~ina je odreena posljednjom pristiglom to kom iz GPS prijamnika i to kom koja je stigla prije nje. Sada treba provjeriti sije e li se ta du~ina s nekim od segmenta u poligonu. Za rjeaenje toga zadatka postoje algoritmi, a jedan je takav opisao Fran ula [10]. Ako presjek postoji, radi se o ulasku u ili izlasku iz teritorijalnoga mora. Da bi se saznalo o kojem je slu aju rije  treba primijeniti algoritam kojim emo provjeriti nalazi li se posljednja to ka dobivena s GPS prijamnika unutar ili izvan poligona. Ako je ta to ka unutar poligona radi se o ulasku u teritorijalno more i softver mo~e korisniku uputiti odgovarajuu poruku. Ako je ta to ka izvan poligona radi se o izlasku iz teritorijalnog mora i softver takoer mo~e na odgovarajui na in reagirati. Postupak kojim se odreuje je li to ka unutar ili izvan poligona opisao je Fran ula [10]. 4. INTEGRACIJA GPS-A I GIS-A Sustav za globalno odreivanje polo~aja ili globalni polo~ajni sustav (GPS) omoguuje korisnicima po svakom vremenu, neprekidno odreivanje polo~aja, brzine i vremena u globalnom koordinatnom sustavu i u jedinstvenoj vremenskoj skali. Uz razli ite metode mjerenja GPS-om mogu se postii razli ite to nosti, od geodetskih do navigacijskih, u rasponu od nekoliko milimetara do 100 metara. Pritom je za navigacijske primjene koje podrazumijevaju odreivanje polo~aja nekog prijevoznog sredstva u pokretu, zna ajno apsolutno odreivanje uz upotrebu kodnih mjerenja, tj. upotrebom jednog prijamnika ili poboljaano uz upotrebu sustava za diferencijalno odreivanje polo~aja [11, 12]. Na to nost mjerenja utje e broj satelita koji se toga trenutka mogu vidjeti, raspored vidljivih satelita, uvjeti rasprostiranja radio-signala od satelita do prijamnika, te to nost mjerenja samog prijamnika ato ovisi o broju kanala s kojima ureaj raspola~e. Ukoliko je uklju ena selektivna dostupnost (SA) na to nost utje u i smetnje koje su namjerno izazvane, kvarenjem emitiranih efemerida i drhtanjem sata satelita. U tom slu aju to nost odreivanja polo~aja smanjuje se na 30-100 m, ovisno o intenzitetu SA. Poseban problem u primjeni GPS-a u navigaciji uzrokuju zapreke, zgrade ili visoka vegetacija ato nepredvidivo smanjuju vidno polje GPS prijamnika te mu, ukoliko broj vidljivih satelita padne ispod etiri, onemuguuju odreivanje polo~aja. Drugi problem koji mogu uzrokovati navedene zapreke je viaestruka refleksija signala koja se javlja kada antena prijamnika registrira signal odbijen od metalnih i drugih reflektirajuih ploha, a koji je proaao put dulji od izravnoga. Utjecaj SA i navedenih smetnji na apsolutno odreivanje polo~aja je u svim slu ajevima izravan i u punom iznosu utje e na izmjerene vrijednosti. Pretpostavimo da su rezultati GPS izmjere koordinate u globalnom koordinatnom sustavu WGS 84 [13]. Za odreivanje ulaska ili izlaska vozila, odnosno plovila u teritorijalno more potrebno je te koordinate transformirati u isti koordinatni sustav u kojem se nalaze podaci o granici teritorijalnoga mora. To se mo~e u initi na viae na ina. Vezu izmeu hrvatskog dr~avnog koordinatnog sustava i sustava WGS 84 ispitivali su Bilajbegovi i Podunavac [14]. Zbog nehomogenosti dr~avne mre~e, istra~ivanja su razdvojena na ju~nu i sjevernu Hrvatsku. Formule za transformaciju izmeu geodetskih koordinata  i  na Besselovu elipsoidu i elipsoidu WGS 84 objavljene su u Geodetskom listu [14]. Druga mogunost je raspolaganje s parametrima za 7-parametarsku Helmertovu transformaciju za podru je od interesa. Takva transformacija povezuje pravokutne prostorne koordinate dvaju sustava, u naaem slu aju sustava WGS 84 i sustava koji odgovara Besselovu elipsoidu. Nakon toga potrebno je joa iz pravokutnih prostornih koordinata X, Y i Z prei na geodetske ,  i h, i kona no u izabranu kartografsku projekciju. Integrirani sustav GPS-a i GIS-a za potrebe odreivanja ulaska u teritorijalno more sastoji se od povezanog GPS prijamnika i ra unala. U ra unalu mora postojati softverski modul koji preuzima podatke, modul za transformacije podataka izmeu koordinatnih sustava, baza podataka o granici teritorijalnog mora i modul za grafi ki prikaz podataka.  Slika 2. Shema integracije GPS-a i GIS-a u vozilu Danas na tr~iatu postoji veliki broj GPS prijamnika, od ureaja oblikovanih posebno za navigaciju na moru, zra nom prostoru i na kopnu do ureaja za preciznu geodetsku izmjeru. Takoer postoje i posebno oblikovana ra unala ija veli ina ne prelazi veli inu dlana ruke, a koja joa uvijek imaju mogunosti za povezivanje s GPS ureajima i grafi ki prikaz. Kao ra unalo mo~e se upotrijebiti i laptop ra unalo. Takoer postoji airoki raspon softvera koji integrira GPS i GIS i to ve od tzv. freewara i sharewara do komercijalnih programa. Za svaku primjenu takvog sustava (od jednog korisnika do praenja veeg broja vozila istovre-meno iz jednog ili viae centara) potrebno je izabrati odgovarajuu hardversku i softversku opremu. 5. LITERATURA [1] D. Rudolf: Terminologija meunarodnog prava mora, Pravni fakultet Sveu iliata u Splitu, Split, 1980. [2] Pomorski zakonik, Narodne novine br. 17 od 7. 3. 1994, 404-503, 74/1994, 43/1996. [3] D. Rudolf: Meunarodno pravo mora, JAZU, Znanstveni savjet za pomorstvo, Zagreb, 1985. [4] N. Fran ula: Matemati ka osnova i numeri ki postupci u izradi karata SR Hrvatske mjerila 1:1 000 000. Savjetovanje Kartografija u prostor-nom planiranju, Ljubljana 1973, A4/1-9. [5] M. Lapaine, I. Tunji: Hrvatska dr~avna granica na moru, simpozij Dr~avne geodetske osnove i zemljiani informacijski sustavi, Opatija, 12-14. 5. 1999., Hrvatsko geodetsko druatvo, Zbornik radova, 27-35. [6] M. Lapaine: Dr~avna granica Republike Hrvat-ske na moru, Dr~avna geodetska uprava, Geo-detski fakultet Sveu iliata u Zagrebu, 1998. [7] I. Tunji, M. Lapaine: Croatian State Boundary at the Sea, 8th International Conference on Engineering Computer Graphics and Descrip-tive Geometry, July 31  August 3, 1998, Austin, Texas, Proceedings, Vol. 3, 716-720. [8] I. Tunji, M. Lapaine: Croatian State Boundary at the Adriatic Sea, 19th International Carto-graphic Conference, Ottawa, 14-21. August 1999, Proceedings, University of Victoria, Canada, 1721-1730; CD-ROM, Section 12, .pdf format. [9] Using AutoCAD Map, Release 2, User's Guide, Autodesk, 1997. [10] N. Fran ula: Digitalna kartografija, Geodetski fakultet Sveu ilata u Zagrebu, Zagreb, 1999. [11] M. Duga ki, M. Majeti, N. Zajec, }. Ba i: Integracija GPS-a i GIS-a u sustav za pozici-oniranje vozila PUZ, simpozij Dr~avne geo-detske osnove i zemljiani informacijski sustavi, Opatija, 12-14. 5. 1999., Hrvatsko geodetsko druatvo, Zbornik radova, 185-194. [12] D. ulinovi, D. Peni: GIS i Real-Time GPS mjerenja, simpozij Dr~avne geodetske osnove i zemljiani informacijski sustavi, Opatija, 12-14. 5. 1999., Hrvatsko geodetsko druatvo, Zbornik radova, 195-200. [13] M. Lapaine, B. Gra anin: Metode i vrste ra unanja u zrakoplovstvu s osvrtom na WGS 84, 16. skup o prometnim sustavima, Automa-tizacija u prometu '96, Split, Ancona, 27-29. 11. 1996., Zbornik radova, 84-87. [14] A. Bilajbegovi, B. Podunavac: Istra~ivanje krivulja za prelazak iz WGS 84 koordinatnog sustava u dr~avni koordinatni sustav, Geodetski list 1994, 2, 111-117. 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