3. A satellite with a scanning sensor orbits the Earth at an altitude of 800 km....

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3. A satellite with a scanning sensor orbits the Earth at an altitude of 800 km. The sensor scans over an angular range of ±0, normal to its ground track (see sketch below). The nadir direction is 0,= 0°. (a) Assuming that the Earth is a sphere of radius 6.371 x 103, what is the maximum scan angle (0) at which the sensor can view the Earth's surface? (1 POINT) (b) If = 55°, what is the angle of incidence of the sensor's field of view at the Earth's surface? (1 POINT) Satellite R 1 1 1 1 Earth R₁ N Local Horizon Satellite R Earth R₂ h = 800 km R = 6371 km Local Horizon e satellite scan angle e- elevation angle e e incidence angle 3. A satellite with a scanning sensor orbits the Earth at an altitude of 800 km. The sensor scans over an angular range of ±0, normal to its ground track (see sketch below). The nadir direction is 0,= 0°. (a) Assuming that the Earth is a sphere of radius 6.371 x 103, what is the maximum scan angle (0) at which the sensor can view the Earth's surface? (1 POINT) (b) If = 55°, what is the angle of incidence of the sensor's field of view at the Earth's surface? (1 POINT) Satellite R 1 1 1 1 Earth R₁ N Local Horizon Satellite R Earth R₂ h = 800 km R = 6371 km Local Horizon e satellite scan angle e- elevation angle e e incidence angle