Valparaiso - Melbourne

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1 Valparaiso - Melbourne
Plovidba po ortodromi Valparaiso - Melbourne

2 Zadano: VALPARAISO: φ = 33° 01' S λ = 071° 37' W MELBOURNE:
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 Proračun Do Do°= 101° 28,0' Do= 6088,0 M 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

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

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 V: φv= 66° 13,35' S λv= 144° 58,8' W

7 Međutočke ΔλM je zadano u zadatku tg φM = cos ΔλM · tg φv
λM = λV + (± ΔλM) M 20° E φ = 64° 52,8' S M 20° W λ = 124° 58,8' W λ = 164° 58,8' W M 40° E φ = 60° 05,7' S 40° W λ = 104° 58,8' W λ = 175° 01,2' E M 60° E φ = 48° 36,8' S 60° W λ = 084° 58,8' W λ = 155° 01,2' E

8 Loksodroma tg K = Δλ‘ / Δφm  K = 87,7° KL = 180° + K  KL = 267,7°
Melbourne Valparaiso DL K KL 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

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

10 Kombinirana plovidba cosΔλ1 =tg φ1 / tg φGR λ1= 49° 28,3' W
λ2= 39° 15,6‘ E λG1 = λ1 ± Δλ1 λG1= 121° 05,3' W λG2 = λ2 ± Δλ2 λG2= 175° 46,4' W G1 φ = 45° S λ = 121° 05,3' W G2 φ = 45° S λ = 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 LAS PALMAS: φ = 28° 08' N λ = 015° 40' W SANTO DOMINGO:
φmLP = 1749, 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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