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Questions asking "What is a good book about X?" or more generally, "What should I read to learn about X?", typically where there is not a single authoritative reference. Please READ THE GUIDANCE IN META (http://meta.physics.stackexchange.com/questions/4697 or click Learn More) before asking.
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How to learn celestial mechanics?
This textbook is used in Universities (and by amateur astronomers such as myself with an interest in computing). Hope this is useful.
Fundamentals of Celestial Mechanics, 2nd Revised, 1992, J. Danby …