A new optical imaging satellite is being designed for the Maritime Domain Awareness mission. The satellite will be placed in a circular orbit at 5000 km altitude and be able to look off of nadir, giving a maximum range to the target of 7000 km. The desired resolution is 3 meters. A) Assuming the sensor will operate in the SWIR (A = 1.5 µm), estimate the required diameter of the primary aperture to achieve the desired resolution at the maximum range. B) If the sensor uses a linear detector array with a 15 µm pixel pitch, what focal length is required to achieve the desired resolution at maximum range? C) If the satellite is in a circular orbit at an altitude of 5000 km, what is its speed? Express your answer in km/s to two significant digits.

A new optical imaging satellite is being designed for the Maritime Domain Awareness mission. The satellite will be placed in a circular orbit at 5000 km altitude and be able to look off of nadir, giving a maximum range to the target of 7000 km. The desired resolution is 3 meters. A) Assuming the sensor will operate in the SWIR (A = 1.5 µm), estimate the required diameter of the primary aperture to achieve the desired resolution at the maximum range. B) If the sensor uses a linear detector array with a 15 µm pixel pitch, what focal length is required to achieve the desired resolution at maximum range? C) If the satellite is in a circular orbit at an altitude of 5000 km, what is its speed? Express your answer in km/s to two significant digits.