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# calcul ortodromei

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```�� REZOLVARE PROBLEME NAVIGATIE ORTODROMICA6.Calculul coordonatelor punctelor intermediaretg�z=tg�vcos��zNE
PUNCT DE PLECARE�1=4841.0N�1=00559.0Wnew yorkZZ1Z2Z3 SW
PUNCT DE SOSIRE�2=1755.0S�2=03852.0WPhiladelphia�z-10-20-30 1.Calculul distantei ortodromice (M) cosM=sin�1sin�2+cos�1cos�2cos����z=�v-�z68.14178.14188.141 �2=-1755.0lgsin�1=9.87568lgcos�1=9.81969lgtg�v=0.417550.417550.41755 -�1=4841.0lgsin�2=9.48803lgcos�2=9.97841lgcos��z=9.569169.309448.48876 ��=-6636.0lg a=9.36372lgcos��=9.92416lgtg�z=9.986709.726998.90630 ��=3996Mm a=0.23105lg b=9.72226�z=44.07428.04304.365 �2=-03852.0b=0.52755
-�1=-00559.0 a=-0.23105�v=69.046
��=-03253.0+b=0.52755M=7245.2�v=058.141
��=1973MmcosM=0.29650M=4365.2Mm lgcos M=9.47202 2.Calculul distantei loxodromice (m)tgD=��/��cm=��secD �c2=-1085.88lg��=3.29513lg��=3.60163 -�c1=3335.91+colog��c=6.35440lgsecD=0.03943 ��c=-4421.79lgtgD=9.64953lgm=3.64105 lg��c=3.64560D=2402.8m=4375.7Mm colog��c=6.35440D=240m=4375.7
Diferenta dintre distanta loxodromica si distanta ortodromica C=m-M-M=4365.2
C=10.6Mm
3.Calculul drumului initial D14.Calculul drumului final D2
ctgD1=tg�2cos�1cosec��-sin�1ctg��ctgD2=-tg�1cos�2cosec��+sin�2ctg��
lgtg�2=9.50962lgsin�1=9.87568lgtg�1=0.05599lgsin�2=9.48803
lgcos�1=9.81969lgctg��=0.189420413lgcos�2=9.97841lgctg��=0.18942
lgcosec��=0.26526lgn=0.06510lgcosec��=0.26526lgn=9.67745
lgm=9.59457n=1.16172lgm=0.29966n=0.47583
m=0.39316m=1.99370
m=-0.39316D1=2127m=1.99370
+n=1.16172D2=2020+n=-0.47583
ctgD1=-1.55488D1=3244.8D2=2202.7ctgD2=-2.46953
5.Calculul coordonatelor vertexului
a.Latitudinea vertexului
cos�v1=cos�1sinD1cos�v2=cos�2sinD2
lgcos�1=9.81969lgcos�2=9.97841
lgsinD1=9.73314lgsinD2=9.57441
lgcos�v1=9.55282lgcos�v2=9.55282
�v1=6904.6�v2=-6904.6
b.Longitudinea vertexului
ctg��v1=sin�1tgD1ctg��v2=sin�2tgD2 Verificare
lgsin�1=9.87568lgsin�2=9.48803��v1=06413.1
lgtgD1=9.80830lgtgD2=9.60739��v2=08253.9
lgctg��v1=9.68398lgctg��v2=9.09542��=03253.0
��v1=06413.1��v2=-08253.9=18000.0
�1=-00559.0��v1=06413.1
+��v1=06413.1+��v2=08253.9
�v1=05814.1�v2=-12145.9��=14707.0
```
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