The way I see it, ships should typically take the same amount of time to turn as they do to move forward. So, a Sathanas would take about 10 minutes 30 seconds to make a complete 360 if they're at a stop. In actual maneuvering and not using AI stupidity, is it plausible that three destroyers outside your main weapon's firing arcs can pose enough of a threat that your best hope is to flee? Not to mention if the destroyers keep moving; it may be very difficult to get any of the three into the main beams' firing arcs, and exposing the rear beam may further jeopardize the Sathanas' fighter bay and engine systems.
Mmm, fair enough. I guess your best bet is to overwhelm the Juggernaught very quickly. E.g, jump your destroyers in, concurrent with your bomber squadron on strike + SEAD on beams/flak turrets, in addition to a fighter squadron or two to keep the jugg's fighters busy.
If the juggernaught tries to turn, have the destroyers keep in formation as best possible (since the Sath would have to make a 180 arc, rather than yawing), and you should have it covered.
-> Now the Sath's only option is to sortie fighters and bombers to occupy the destroyers, whilst calling in help. So therefore, a concurrent assault at another point in system would be necessary to draw heat off (preferably a crucial target to the Shivans, jump node, perhaps?)
It'd be damn heavy on fleet resources (would probably require the help of another fleet), but it would get the job done. The prospect of multiple Sathanii is really quite overwhelming, I don't believe there's anything but a Meson warhead that would be suitable.