Fincle1 wrote:

I know about websites that I can find out when the Moon rises but I *really* want to be able to do it myself.

Chapter 47 of Jean Meuus's classic

*Astronomical Algorithms* explains how to calculate the position of the Moon for a given location and instant. From this you can use an iterative process to derive the Moon's rise and set times. However, Meuus does say that to calculate the position accurately:

**Quote:**

...it is necessary to take into account hundreds of periodic terms in the Moons longitude, latitude and distance...

Meuus therefore gives a simplified method providing accuracy of 10" longitude and 4" latitude. For readers requiring greater accuracy, Meuus refers them to Chapront's

*Lunar Tables and Programs*.

Chapter 70 of the third edition of Peter Duffett-Smith's

*Practical astronomy With Your Calculator* covered this too. This book appears to have been superseded by

*Practical Astronomy with your Calculator or Spreadsheet*, which I haven't read, but according to the index, covers Moon rise and set on pages 178 - 180.

The state of the art in describing the Moon's position is possibly described by

*The lunar ephemeris ELP 2000* by Chapront-Touze, M. and Chapront, J. For the greatest accuracy you'd want to implement that complete with its 37862 periodic terms...