TIPURI DE CALCUL PENTRU DETERMINAREA ELEMENTELOR ORTODROMEI

Plecare:

SENDAI

Sosire:

STR. MAGELLAN

φA=

3814`N

φB=

5230` S

λA=

14108`E

λB=

07500` W

si de latitudine crescanda Δφc

λB=

φB=

φcB=

-λA =

-φA=

φcA=

10=10,00000

Δλ`=

Δφc=

6167₇

-lg Δφc= 3,79012

Δφm=

colgΔφc=6,20988

Δλm=

lg sin φA=

lg cos φA=

lg sin φB=

lg cos φB=

lg a=

lg cos Δλ=

a=

lg b=

+ b=

φA si φB au acelasi semn→ a>0

cosM=

Δλ>90s→b<0

M`=

M=

M=

Mm

C) Calculul drumului loxodromic D si a distantei loxodromice m

tgD=Δλ/ΔφC

m=Δφ secD

lg Δλm=

lg Δφm=

colg Δφc=

lg secD=

lg tgD=

lg m=

D=

D=

m=

Mm

m=

Mm

-M=

Mm

m-M=

285₉

Mm

x1

y1

x2

y2

lg tgφB=

lg tgφA=

lg cosφA=

lgsinφA=

lgcosφB=

lg sinφB=

lgcosecΔλ=

0,22939

lgctgΔλ=

lgcosecΔλ=

0,22939

lgctgΔλ=

lg x1=

0,23955

lgy1=

lg x2=

lg y2=

x1=

Δλ>90s→

ctgΔλ-

x2=

+y1=

φBS→

x1-

+ y2=

φAS→

sinφA -

ctgDi=

φAS→

x2+

ctgDf=

φBS→

sinφB -

Di=

4822`₉(SE)

Di=

Df=

Df=

F1) Calculul latitudinii vertexului φV   

cosφV1=cosφA sin Di

cosφV2=cosφB sin Df

lg cosφA=

lg cosφB=

lg sin Di=

lg sin Df=

lg cosφV1=

lg cosφV2=

φV1=

5402`₃ N

φV2=

5402`₃ S

F2) Calculul longitudinii vertexului λV

ctgΔλV1= sinφA tgDi λV1=λA+ΔλV1

ctgΔλV2= sinφB tgDf λV2=λB+ΔλV2

lg sinφA=

λA=

lg sinφB=

λB=

lg tgDi=

ΔλV1=

lg tgDf=

ΔλV2=

lg ctgΔλV1=

λV1=

lgctgΔλV2=

λV2=

ΔλV1=

λV1=

14034`₈W

ΔλV2=

λV2=

-09400`₃E

G) Calculul coordonatelor punctelor intermediare

tgφZ=tgφV cosΔλZ

Punct intermediar

A

Z₁

Z₂

Z₃

Z₄

Longitudinea λZ=

14108` E

15000` E

16000` E

17000` E

18000`E

ΔλZ= λV- λZ=

lg tgφV=

lg cosΔλZ=

lg tgφZ=

φZ=

3814` N

3108`₂ N

2047`₈ N

0811`₅ N

0529`₉ S