Summary: The text provides extensive calculations and corrections related to lunation numbers, New Moons, Full Moons, and other astronomical phenomena. It includes tables and equations to determine the timing of New Moons, corrections based on various factors, and comparison with calculated and actual astronomical data for dates ranging from 1964 to 1966. The corrections are made according to equations, and examples are given for finding the time of New Moon on specific dates, like March 14, 1964. The text also highlights errors and provides corrections, like errata for specific pages and tables, ensuring accuracy in astronomical calculations. This detailed work aims to enhance understanding and accuracy in astronomical calculations and predictions related to New Moons and other celestial events.