MAE146: Astronautics – HomeworkAssigned: Friday, January 8th,2010Due date: Wednesday , January 13th,2010,(at the beginning of the lecture)Please justify all of your answers. Write your answer cleanly with sentences and diagrams to explain. Don’t forgetto write your name on your copy to receive credit.Problem 1 (10pts): Still On Rotations.Problme 4.9 on current edition (or Problem 4.7 of previous edition) of textbook.Since the numeric answers aregiven, any copy without justification of the results will not receive credit.(Relevant reading: chapter 4, sections 4.1, 4.2 and 4.5)Problem 2 (15pts): On Radar TrackingProblem 1.13 on current edition (1.5 of previous edition) of textbook.(Relevant reading: chapter 1, sections 1.2, 1.3, 1.5 and 1.6material will be covered in Monday lecture as well).Problem 3 (25pts): Spacecraft On A Circular OrbitA spacecraft is moving on a circular orbit described by equations in an Earth Centered Inertial (ECI) frame1:x(t) = (Re+h) cos(ω0t);y(t) = 0km;z(t) = (Re+h)sin(ω0.t)(1)whereRe= 6379kmis the mean radius of the Earth,h
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