Distance to the Moon The moon is a relatively close celestial object, so its distance

Chapter 7, Problem 43

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Distance to the Moon The moon is a relatively close celestial object, so its distance can be measured directly by taking two different photographs at precisely the same time from two different locations. The moon will have a different angle of elevation at each location. On April 29, 1976, at 11:35 a.m., the lunar angles of elevation during a partial solar eclipse at Bochum in upper Germany and at Donaueschingen in lower Germany were measured as 52.6997 and 52.7430, respectively. The two cities are 398 km apart. Calculate the distance to the moon, to the nearest thousand kilometers, from Bochum on this day, and compare it with the actual value of 406,000 km. Disregard the curvature of Earth in this calculation. (Source: Scholosser, W., T. Schmidt-Kaler, and E. Milone, Challenges of Astronomy, Springer-Verlag.)

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