Based on telescope observations of Venus, it is theorized that phosphine, which is a possible signature for life, is present in Venus' atmosphere. You have been tasked to plan a mission to Venus to observe the atmosphere directly with a spacecraft to measure the phosphine levels. The mission to Venus would start with an escape from a circular parking orbit (at 325 km ), use a Hohmann transfer (Phase II) and a dark-side intercept at Venus with a final orbit around Venus with a periapsis height of 500 km and a period of 12hr (Phase III). 1. [15 pts] Phase Il analysis - Find the characteristics of the transfer trajectory including at​,ε,e,Vta​,ht​ and Vtt​ 2. [17 pts] Phase III analysis - Find the characteristics of the dark-side intercept (ε,V[infinity]​,Vp​) and the final orbit (ε,Vp,ei1​). 3. [20 pts] Mission planning - Find the total velocity budget, transfer time (in days) from Earth to Venus and aiming radius. 4. [8 pts] What is the eccentricity and the apoapsis height of the final orbit around Venus?