How to learn celestial mechanics?

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I'm a PhD student in math and am really excited about celestial mechanics.

I was wondering if anyone could give me a roadmap for learning this subject. The amount of information about it on the internet is overwhelming, and I honestly don't know where I should start.

Any help would be greatly appreciated.
 
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Something that I found useful was to start with the Explanatory Supplement to the Astronomical Almanac and then track down the references.
 
By celestial mechanics, do you mean orbit determination and the works? I guess as a math Ph.D. you have the necessary mathematical background to dive straight into the BMW book (Bates, Mueller and.. White I think, Fundamentals of Astrodynamics). The physics might be rough if you're out of practice, however.

If you mean dynamics of star formation and such, no clue.