Well invading (or trying to) Aer is probably a VERY bad idea. Like there are several Seraphim's guarding that moon. I called it a fortress moon for a reason. So I'd personally wanna keep any conflict away from that and keep it centered around Anuria.

That said, maybe through FTL tracing or something? Like MSSC's generally aim at a certain point, charge their drive to jump an X amount of distance (the more they charge, the further they go) and then jump. I'm certain Ashtar (who were still in the vicinity concidering they merely jumped a little bit away just to get out of the main line of fire of both Vaeger and MSSC forces) could use radiation readings to see how far the MSSC jumped and through combat footage see in what direction. However, as they are probably somewhat damaged from the Vaegir and MSSC skirmish I'd think they'd first retreat, group up and then assault aimed location. which buys me enough time to get a very basic understanding of the psionic abilities through brain scans. Just a suggestion.