I need to do some moonrise azimuth and time calculations. Can anyone recommend a good astronomy library, preferably in Objective-C?
Its not in objective C but the library included in the pyephem package is quite good. The C source files were taken from the old X windows xephem program with glue added to make the functions available from within Python. As long as you don't require super-high accuracy, these routines will probably work for you.
http://rhodesmill.org/pyephem/