Question

An earth station in Auckland with latitude 36.92°S and longitude 174.75°E is to point towards a GEO satellite located at longitude 146.1°E. Determine the required azimuth and elevation angles for this earth station, given the radius of the earth and satellite orbit are 6,378 km, and 42,164 km, respectively. (5 marks)

Answer 1

174.75°E Giuen: Positions Sauth station - latitude 36.925 and longilude GEO satellite - longitude 146.10€ Radius of the south - 6848 km Radius of the satellite oubit - 42.164 km Azimuth wongle. The angle betrum local houisontal plane and the plane passing through courth station Satellite and center of caith is called as azimuth foumula- x = 180° + Tani(Tane angle? Tan where L és latitude of earth slation antena Gres difference belieen porileon of satellite cubit "and eaeth slation antenna h - 36.92° = 146-10-144.45º.-28.650 2 = 180° + Tan/ tan en Tan = 180° + Tan? (-0.546) 0.751 - 180°-36° = 1440 Azimuth Angle X= 1440

Date Elevation Angle The angle beluscen witical plane and lene pointing to satelle de known as Elevation anglé Choltical plane is ngthing but the plane, wellich is perpendiculae to houezontal flaše). Houmulo - B - Tancos e cosh - 0.15 all-cos²l cost - 36.92° - -28.65° B. Tant | Ws(-28.65) CO3(86-92)-0.15 Ni-Cos26-28.65)6082(86-92) Tan?0.844 *0.499 -0.15 Ni-0.490x0.639 Tant -170-551 0.713 B = 37.69 tleuation Angle B-94.60