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Well, if you know the distance to the moon you can figure out what divergence with a certain starting beam size will focus down to a spot on the moon. As far as I know you would have to start out with a really large beam to focus down to a spot on the moon. A laser beam is like a cone, it can either be expanding or contracting, but it will be doing one or the other. The larger the beam size the longer it takes to switch from contracting to expanding.
NASA did leave a reflector on the moon, you can find out how far away the moon is using it, pretty interesting.
NASA - Accuracy of Eclipse Predictions
NASA did leave a reflector on the moon, you can find out how far away the moon is using it, pretty interesting.
NASA - Accuracy of Eclipse Predictions