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Plovidba po ortodromi

Plovidba po ortodromi. Valparaiso - Melbourne. Zadano:. Međutočke svakih 20° φ granični = 45° S φ MV = -2088,2’ φ MM = -2435,2’. Skica. Valparaiso (W). Melbourne (E). 180°. Δλ v (W). β. Kpč. Kkč. α. V. Δλ = λ 2 – λ 1  Δλ' = Δλ° · 60

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Plovidba po ortodromi

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  1. Plovidba po ortodromi Valparaiso - Melbourne

  2. Zadano: Međutočke svakih 20° φ granični = 45° S φMV = -2088,2’ φMM = -2435,2’

  3. Skica Valparaiso (W) Melbourne (E) 180° Δλv (W) β Kpč Kkč α V

  4. Δλ = λ2 – λ1 Δλ' = Δλ° · 60 λ= 143° 25' W  λ’= -8605’ Δφ = φ2 – φ1 Δφ' = Δφ° · 60 Δφ = 4° 44’ S  Δφ' = -284' cos Do° = sin φ1 · sin φ2 + cos φ1 · cos φ2 · cos Δλ° Do°= 101° 28,0' Do= 6088,0 M Proračun Do

  5. sin α =sin Δλ · cos φ2 / sin Do° α = 28° 44,4' Kpč = 180° + α Kpč= 208,7° sin β =sin Δλ · cos φ1 / sin Do° β= 30° 39,5' Kkč = 360° - β Kkč= 329,3° Kpč i Kkč

  6. Vrh ortodrome cos φv = sin α · cos φ1 φv= 66° 13,35' S cos Δλv =tg φ1 / tg φv λv= 73° 21,8' W λv = λ1 + Δλv λv= 144° 58,8' W

  7. Međutočke

  8. tg K = Δλ‘ / Δφm K = 87,7° KL = 180° + K  KL = 267,7° K > 87  DL =Δλ' · cos φs / sin K φs = (φ1 + φ2) / 2 DL = 7021,3 M Loksodroma Melbourne Valparaiso DL K KL

  9. Kombinirana plovidba φgr= 45° S Δλ2 (E) Δλ1 (W) ΔλGR P2 P1 Do2 Do1 DL, KL φGR G2 G1 V

  10. cosΔλ2 =tg φ2 / tg φGR λ2= 39° 15,6‘ E cosΔλ1 =tg φ1 / tg φGR λ1= 49° 28,3' W Kombinirana plovidba λG1 = λ1 ± Δλ1 λG1= 121° 05,3' W λG2 = λ2 ± Δλ2 λG2= 175° 46,4' W

  11. Do1 Do2 cos Do1=sin φ1 /sin φGR Do1° = 39° 35,6’  Do1 = 2375,6 M cos Do2=sin φ2 /sin φGR Do2° = 30° 01,5’  Do2 = 1801,5 M

  12. Loksodromski dio ΔλGR = λG2 – λG1  ΔλGR = 54° 41,1’ ΔλGR' = ΔλGR° · 60  ΔλGR' = 3281,1’ R (DL) = ΔλGR' · cos φGR  2320,1 M KL = 270°

  13. Uštede DO = 6088,0 M DL = 7021,3 M   UL = 933,3 M DK = 6497,2 M   UK = 409,2 M Mercatorova karta

  14. Domaći rad φmLP = 1749,4 φmSD = 1122,5 Međutočke svakih 10° (samo one koje treba) φGR = 28° 08’ N (Kod kombinirane plovidbe nema Do1, jer se odmah počinje ploviti po loksodromi!)

  15. I za kraj ..... ... jer ste bili dobri...

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