@ new tunnel - still what I would have done. I'm operating entirely off of guesswork regarding what she's got and is doing. sometimes I'm going to get it wrong.
@ orbital fire - laser spread is a ratio, not a fixed value. a smaller laser fired at the moon has a MUCH smaller spread than a large one. take a picture of the moon, then aim a laser pointer at it. the fraction of the moon that the dot covers is the amount it would spread to when fired at the moon from the picture location. now take that picture and aim a larger laser at it - the same is true for it - much more spread. in the case of an orbital target, I agree that I need a needle-thin laser... like, say, the kind of needle-thin laser I would use on a regular basis for long-distance power transfer from node to node. with even less precision as that required to efficiently strike another node for the power transfer. the precision and focus needed is negligable compared to standard procedure.
oh, and the moon is farther away than a normal orbit by several orders of magnitude, making it a really bad example except to demonstrate an extreme case and explain the concepts involved. As an example it is utterly useless to give a sense of scale for how extreme an issue this is (hint: it isn't one at all).
atmospheric scatter also is a negligable factor as long as I avoid firing at extreme angles. the atmosphere is only about 11km in depth before it becomes thin enough that it doesn't matter anymore. Obviously, that distance is going to increase as I get farther and farther from firing directly downwards, but assuming the nodes are mostly firing down, then the scatter isn't going to be signifigant enough to matter. those military lasers you're mentioning are able to be effective at over 45 degree angles, and I don't need anything remotely that extreme. again, we're talking optics. If I can see it without issue, then I can laser it without issue. the issues you're mentioning also affect normal optics to an equal degree. and I can see my targets.