How to learn celestial mechanics?

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A PhD student in mathematics seeks guidance on learning celestial mechanics, expressing feeling overwhelmed by the vast amount of information available online. A suggestion is made to start with the Explanatory Supplement to the Astronomical Almanac and to explore its references. The discussion clarifies that if the focus is on orbit determination, the student could benefit from diving into the book "Fundamentals of Astrodynamics" by Bates, Mueller, and White, leveraging their mathematical background. However, it is noted that the physics aspect may be challenging if the student has not recently engaged with it. The conversation also touches on the potential confusion regarding different areas within celestial mechanics, such as the dynamics of star formation.
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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.
 

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