We could use a "stationary" unit at the center of rotation, and three tethered units deployed between the pods, and we should be able to derive three-dimensional structure in the gravitational wave spectrum.
We could feed the information into the astrogation database, and display it in correlation with optical channels.
I think it would be advisable to have the kind of multi-spectral lasers that normally operate at relatively low wattage, but can be ramped up to appreciable power to overcome dust clouds or for other significant reasons.
They could then also be used for asteroid spectrographic analysis, among other things. Unless you'd prefer to sling a washing-machine at a comet?
Speaking of which... What's the dome made of? Will it withstand a certain amount of puncturing? Self sealing layer maybe? What would be the largest "hole" that could be put in it and still seal properly? If it is an "armored" clear composite material, how big a hit can it take before it shatters and how would we repair it?
Thinking on this from several layers. One, micrometorite bombardment will be a problem. Especially once we are up to speed ourselves. Two, I ain't going anywhere without my bang-bang collection. Consider 'em a security blanket for me. Noone is really sure what is gonna happen to the Zombies once we hit orbit.