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homework1 - AST 3722C - Spring 2008 Homework #1. Due before...

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AST 3722C - Spring 2008 Homework #1. Due before class on January 22. (Not January 15 as originally on this paper.) Instructions: Solve each problem below. Where math is involved, and unless otherwise indicated, show your work. 1. [1 point] Chapter 7 Problem 5, pages 55-56. This is practice in using the spherical trig formulae. 2. [1 point] Chapter 7 Problem 9, page 58. A real-world problem! (Sort of.) 3. [3 points] You and a friend start a journey toward the North Pole. You start from the same latitude – i.e. 60 N – but you start from different longitudes. You start in Quebec at a longitude of 75 W. Your friend starts in Sweden at a longitude of 15 E. You both travel northward at exactly the same rate over the tundra and ice, so that you are always at the same latitude. Let φ be your latitude at any given moment. (a) Derive the great-circle angular distance θ between you and your friend as a function of φ . (b) Assume the small spherical-triangle approximation works all along your journey and
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homework1 - AST 3722C - Spring 2008 Homework #1. Due before...

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