Re: How to calculate moon's appearance position in sky?

Jirayu,

Your question implies a high degree of sophistication. The calculations for moon orbit determination are equally complex. The introductory material on the web assumes a circular orbit and ignores the precession of the elliptical node. Additionally, the orbital tilt and the nine-year cycle of the apse line rotation, turn the problem into a very sticky situation mathematically.

There are several sites that do a passable job on guiding the sutdent through the calculations.

These are Newton's equations of lunar motion:
http://www.ucl.ac.uk/sts/nk/sequence.htm

Here is a site that claims to give the moon position to within 10 arcseconds:
http://www.btinternet.com/~kburnett/kepler/moon3.html

If you do a general keyword search of MOON ORBIT CALCULATIONS on GOOGLE you will get many more related sites. Some of these offer computer software that will do the calculations for you.

I hope this helps.