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You have been tasked with returning a planetary sample from Mercury orbit to Earth using the patched conic planetary trajectories method. Assume that the orbit about Mercury is prograde with the orbit of Mercury around the sun and that your approach periapsis at Earth is on the shade side. Your initial orbit at Mercury is 600 km by 800 km (from the surface) and must be circularized at 800 km (from the surface) before you begin the transit to Earth. a. Calculate the delta-V required to place the spacecraft in the 800 km circular orbit around Mercury (from the surface). b. Calculate the delta-V required to place the spacecraft in the Hohmann transfer orbit to Earth from the 800 km circular orbit about Mercury.
