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Unformatted text preview: MAE146: Astronautics Homework #1 Assigned: Friday, January 11 th , 2008 Due date: Friday, January 18 th , 2008, (at beginning of the lecture) Please justify all of your answers. Problem 1 (10pts): A question of viewpoints An observer on Earth whose coordinates with respect to an Earth centered frame are (6378 km, km, km, ), measures the position of an astronaut performing a spacewalk in spherical coordinates from the center of the Earth. The astronaut is found to be located at a distance of 6980 km from the center of the Earth, 30 deg in right ascension and 10 deg in declination (all measured in the same Earth centered frame). For the viewpoint of the Astronaut, however, measuring location with respect to the center of the Earth is not very convenient and thus measure location with respect to a frame centered at his location, with axis defined by the spherical basis associated with his position with the previous frame. What is the (Cartesian) position of the observer in the astronaut centered frame? (Justify your answer and draw a sketch of the different frames in a single picture) Problem 2 (30pts): On rotation matrices Let us consider the following matrices (defined only to four significant digits): A = -0.8557-0.3778-0.3536 0.4039-0.9148 0.0-0.3234-0.1428 0.9354...
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This homework help was uploaded on 04/07/2008 for the course MAE 146 taught by Professor Villac during the Winter '08 term at UC Irvine.
- Winter '08