Problem 2) A surveillance satellite is placed into a circular orbit at 500 km altitude at 55 inclination. Its telescope has a field of view of 2 along-track and 2 cross-track. The ground resolution is 0.2 m per pixel. The detector has the dimensions 5 cm x 5 cm (hence, assume the radius of the detector to be 2.5 cm). What is the focal length of the instrument? If the telescope is optimized for a wavelength of 500 nm, what is the aperture diameter for the required ground resolution? Problem 3) This problem refers to the satellite described in Problem 2. The mission goal is to continuously image the strip of ground under the satellite. Therefore, the instrument takes a series of images along the satellite's ground track without coverage gaps between the images and without overlap. - Ground TraCk Use the spacecraft's orbital period to calculate the ground track speed. Using the ground track speed and the instrument's field of view, calculate how many seconds the satellite waits after taking one picture until it captures the next picture. \fProblem 5) Outgassing may be critical and must be addressed during mission design and testing. When selecting the materials of the components of your spacecraft, you should look at their outgassing properties and select materials that will release minimal contaminants when exposed to vacuum. NASA has a repository of outgassing properties of many materials they have tested over the years: https://outgassing.nasa.gov/outgassing-data-table . NASA tests the materials by baking them at 125C for 24h. The results from the baking process are mainly represented by two numbers: TML (Total Mass Loss) and CVCM (Collected Volatile Condensable Material). The mass of the item being tested is measured before and after baking, and the TML represents how much mass the item lost between those two measurements. Inside the oven, NASA keeps a collector at 20C (relatively cold), and some of the volatiles that left the item being tested will condensate on those cooled down collectors. The CVCM is calculated by measuring the mass of the collectors before and after baking the item being tested. The TML of space materials should be below 1% and the CVCM should be below 0.1%. Use the link above to search for plastics commonly used in 3D printing. Would any of those plastics meet NASA's TML and CVCM requirements? Problem 6) lonizing radiation can be damaging to your spacecraft, and different types of radiation require different types of shielding. If you are shielding from gamma-ray radiation, you can use the following equation to calculate the thickness of the shielding material: I ur =k Iy where [ is the incident radiation intensity, I is the residual radiation intensity, r is the thickness of the shielding material, and u is the linear attenuation coefficient of the material you are using as shielding. Assume your goal is to decrease the gamma-ray radiation intensity by 90% (hence, I = 0.1 1), and that