Consider an optical ground sensor at 35N latitude & 35E longitude. The image plane of its camera is 1500 pixels by 2000 pixels, the size of each pixels 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 g (Greenwich sidereal time) is 5. Can the sensor capture both objects in its field of view at this instant? Assume the sensor can be pointed anywhere in its field of regard (i.e. anywhere above its horizon) and its image plane can be rotated about the boresight by any angle. 2. (50%) Consider a radar sensor and an optical sensor located together at 39N latitude & 104W longitude. At a particular instant in time, the radar sensor measures a range of 650.75 km to an object, and the optical sensor measures Az = 25.12 and El = 17.29 (in its TH frame) to the same object. What is the object's position vector from Earth's center expressed in ECI coordinates at this instant? Assume that g (Greenwich sidereal time) is 0