This question was once asked on another listserv that I belong to, and as I recall the answer was no. The moon follows a slightly different path than the sun. I will have to work up the math for this if you are interested.
If the sun and the moon did follow the same path, then we would have the potential for a great many more eclipses of the sun. I personally would enjoy this since I have seen only one eclipse of the sun in my lifetime.
Andrew
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