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//Variable Declaration
LE=48.42 //Latitude of earth station(degrees)
PE=-89.26 //Longitute of earth station(degrees)
Elmin=5 //Minimum angle of elevation(degrees)
aGSO=42164 //Circumference of earth(km)
R=6371 //Radius of earth(km)
//Calculation
Smin=90+Elmin
S=asin(R*sin(Smin*3.142/180)/aGSO)*180/%pi //Angle subtended at the satellite(degrees)
b=180-Smin-S //Angle of plane containing b(degrees)
B=acos(cos(b*3.142/180)/cos(LE*3.142/180))*180/%pi//Angle between the planes containing a and c(degrees)
//Results
printf("The satellite limit east of the earth station is at %d Degrees approximately",round(PE+B))
printf("The satellite limit west of the earth station is at %d Degrees approximately",round(PE-B))
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