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Help with more accurate rising setting and transit calculation for moon

I have been working on a hobby program that calculates the times of moonrise and moonset froma given location. for the formulas i have been using Jean Meeus' Astronomical Algorithms book. So far I have successful been able to calculate the ascension and declination for any given date. Currently I am working on the rising setting and transit (chapter 15). My functions work with his example of Venus, but trying with the moon I do not get accurate results. Using the interpolation method in the book does not seem to add accuracy. Am I missing something? Are there specific considerations for the moon that are not included in the book? I would greatly appreciate any advice given!

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