HW5 - What is the corresponding orbit (elliptic, circular,....

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MAE146: Astronautics – Homework #5 Assigned: Friday, February 8 th , 2008 Due date: Friday , February 15 th , 2008, (at the beginning of the lecture) Note: “Textbook” refers to Wiesel’s book, “Space±ight dynamics”. Please justify all of your answers. Problem 1 (20 pts): Halley’s comet Textbook, page 70, # 3 Problem 2 (40 pts): UFO Assume the Earth to be modeled as a uniform sphere of radius R e = 6 , 372 km and total mass M = 5 . 97421024 kg . A tracking station located in Goldstone at a longitude, latitude and altitude of - 116 . 9 deg , 35 . 3 deg and 962 m , respectively, observes an unidenti²ed ±ying object (UFO) in orbit around the Earth. The measured local Cartesian coordinates (local frame) are: x = 10 km ˙ x = 4 . 0 km/s y = 300 km ˙ y = 5 . 0 km/s z = 1000 km ˙ z = 2 . 5 km/s 1. Assuming the local frame of reference to be inertial, what are the corresponding orbital elements of the UFO?
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Unformatted text preview: What is the corresponding orbit (elliptic, circular,. ..)? What are the maximum and minimum altitude of the object? 2. Assuming the Earth is rotating uniformly about its North pole, what are the corresponding orbital elements of the unidentied object? What is the corresponding orbit type? What are the maximum and minimum altitude of the UFO? Problem 3 (20 pts): Eccentric anomaly Textbook, page 71, #5 What is the condition for having repeat ground track orbits, that is orbits for which the ground track closes upon itself after N revolutions? Problem 4 (20 pts): Solar sail Textbook, page 71, # 8 1...
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