distancia azimuth a.docx
TRANSCRIPT
Datos Transmisor
Barabón 2°53’34.4’’ S79°5’15.1’’ W
ReceptorCerro Buerán
2°36’31.1’’ S78°55’50.9’’ W
Calculo de la distancia
Primero obtenemos la latitud y longitud en radianes. Transmisor
LatitudXT=2 °53 ’34.4 ’ ’ S=−2.892888889 °
XT=−0.050490436 radianes
LongitudY T=79 °5 ’15.1 ’ ’W=−79.08752778 °
Y T=−1.380337757 radianes
ReceptorLatitud
X R=2° 36 ’31.1 ’ ’ S=−2.608638889 °
X R=−0.045529338 radianes
LongitudY R=78 ° 55’ 50.9’ ’W=−78.93080556 °
Y R=−1.377602438 radianes
Ahora procedemos a calcular la distancia.
D=6371∗cos−1(sen (XT )∗sen ( XR )+cos (XT )cos (X R )cos (Y R−Y T ))
D=6371∗cos−1(sen (−0.0504 )∗sen (−0.0455 )+cos (−0.0504 )cos (−0.0455 ) cos ((−1.3776)−(−1.3803)))
D=36.08327565 km
Calculo de los azimuth
Transmisor-Receptor
a tr=cos−1(sen ( XR )−sen (D ) sen ( XT )
sen (D )cos (XT ))
a tr=cos−1(sen (−0.0455 )−sen (36.0832 ) sen (−0.0504 )
sen (36.0832 ) cos (−0.0504 ))
a tr=1.522882492 radianes
a tr=87.25473948 °
Receptor- Transmisor
art=cos−1(sen ( X t )−sen (D ) sen (X r )
sen (D ) cos ( X r ))
art=cos−1(sen (−0.0504 )−sen (36.0832 ) sen (−0.0455 )
sen (36.0832 )cos (−0.0455 ))
ar t=86.98335479 °
Ahora revisamos la condición
a tr art=360−art Cuando sen (Y R−Y T )>0
a t r=360−atr art Cuando sen (Y R−Y T )<0
Calculamos
sen (Y R−Y T )=sen(−1.377602438−(−1.380337757))
sen (Y R−Y T )=0.002735315
Entonces
sen (Y R−Y T )>0
Por lo tanto
a tr=87.25473948 °
art=360−art=360−86.98335479
art=273.0166452 °