Yes, pretty much every good library I came across referenced Meeus' Astronomical Algorithms [0] book and formulas. Those were a bit dense for me to fully parse, but Dr. Louis Strous` page [1] on finding the position of the moon helped simplify it for me (although that implementation is less accurate, I think).
The algorithm in Moontool for Windows [2], which Tiny Moon is based off of, is based off of Meeus' algorithm.