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MOONNF: finds the times of new and full moon

Published online by Cambridge University Press:  17 February 2010

Peter Duffett-Smith
Affiliation:
Downing College, Cambridge
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Summary

It is sometimes necessary to calculate the date and time of new or full moon corresponding to a particular calendar month. For example, since a solar eclipse can only occur at new moon, and a lunar eclipse at full moon, we need those times to predict the occurrence of an eclipse. This information could be found using the routine MOON (6000) and its handling program, but it would be a tedious exercise as the phase would have to be calculated several times in an iterative procedure of successive approximation. Routine MOONNF adopts the algorithm given by Meeus in his excellent book Astronomical Formulae for Calculators (second edition) to calculate the instants of new and full moon to within an accuracy of about 2 minutes.

The date is input as usual via the variables DY, MN, and YR. The instants of new and full moon nearest to the date are calculated in terms of the number of Julian days since 1900 January 0.5, being returned by the pairs of variables FI, FF for full moon and NI, NF for new moon. The first variable in each pair indicates the integer number of Julian days of the event since 1900 January 0.5, while the second variable indicates the fraction of the day. The Julian date of new moon is therefore

JD = 2415020 + NI + NF

since 1900 January 0.5 corresponds to Julian date 2415 020.0. Note that Julian days begin at noon, a fact which must be considered when converting to calendar date and time.

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Publisher: Cambridge University Press
Print publication year: 1990

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