Patrick: My first try at sending an e-mail to utah-astronomy seems to have failed so I will try to get there by replying to one of your e-mails. I'm not very bright so I need someone who is to explain the following to me: I have observed, with my aging eyes and an old protractor, that the apparent difference in the position of the sun, at sunrise or sunset, on June 21st is approximately 65 degrees north of its position, at sunrise or sunset, on Dec 21st. How far north does the sun appear to travel during the course of those six months and why? I expected the distance to be 47 degrees. (Twice the angle of the earth's tilt.) Why wasn't it 47 degrees? Thank you for your help on this extremely important matter. Wayne
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