MAE146: Astronautics – HomeworkAssigned: Friday, March 5th,2010Due date: Optional homeworkThis is simply an optional problem to help you think about fly-bys (and design one of the project) rather than a realhomework. Since you need to the design a fly-by for the project, no homework is assigned this week and you shouldindeed take this time to work on the project!On the analysis of Venus fly-bysAssume the Earth to be in a circular orbit around the Sun (with a radiusRE) and a spacecraft in a circular orbitaround the Earth (with radiusrs) and let us consider an impulsive maneuver performed along the velocity vector ofthe spacecraft (as measured relative to a planet centered inertial frame at the time of the maneuver) resulting in anescaping trajectory (from the Earth).1. On departing angle:(a) Compute the maximum speed of the spacecraft relative to the Sun just after leaving the Earth influence.What is the angle between ΔVand the velocity of the Earth relative to the Sun,vectorVE
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