That would definitely be the (computationally) cheapest way of doing it. Especially considering the little computer power available at that time, and the short span of time - i.e., a fairly modest list of parameters would be adequate to determine the Moon's position with the required precision, over the lifespan of a mission. Again, due to the short lifespan of the missions, extrapolations from observations at the beginning of each mission would probably be adequate. That doesn't mean that we can't calculate, from fundamental laws of physics, what will happen to the Moon in, say, a month or a million years. Regards, Regner - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Quoting Jack Lewis <jack.lewis@xxxxxxxxxxxx>: > Dear Steven, > Am I right in assuming that mathematics for the Apollo moon trips were > calculated by using a look-up table? > > Jack >