Question

Consider an optical ground sensor at 35°N latitude & 35°E longitude. The image plane of its camera is 1500 pixels by 2000 pixels, the size of each pixel is 0.005 mm by 0.005 mm, and the focal length is 72 mm. There are two particular objects in Earth orbit the sensor is tracking. The sensor operators determine that if there are times when the sensor can capture both objects in its field of view, this would be advantageous, since this would require fewer overall images to be taken to track the objects. At a particular instant in time, we know that object #1’s position vector from Earth’s center expressed in ECI coordinates is (5294.35, 3707.14, 2352.42) km, object #2’s position vector is (5467.25, 3489.87, 2117.82) km, & that Theta_g (Greenwich sidereal time) is 5 degrees. Can the sensor capture both objects in its field of view at this instant?

          Consider an optical ground sensor at 35°N latitude & 35°E longitude. The image plane of its camera is 1500 pixels by 2000 pixels, the size of each pixel is 0.005 mm by 0.005 mm, and the focal length is 72 mm. There are two particular objects in Earth orbit the sensor is tracking. The sensor operators determine that if there are times when the sensor can capture both objects in its field of view, this would be advantageous, since this would require fewer overall images to be taken to track the objects. At a particular instant in time, we know that object #1’s position vector from Earth’s center expressed in ECI coordinates is (5294.35, 3707.14, 2352.42) km, object #2’s position vector is (5467.25, 3489.87, 2117.82) km, & that Theta_g (Greenwich sidereal time) is 5 degrees. Can the sensor capture both objects in its field of view at this instant?

Added by Lori L.

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