Just something to do while bored:
http://www.schlockmercenary.com/d/20010325.html
Petey is just over a kilometer tall...
Lets assume there aren't any breachers and his shields are tight, projected out only to a point where the surface area is the same as a kilometer sphere.
That's a surface area of 12.5 million square meters ... oooh
http://www.schlockmercenary.com/d/20010715.html
Given: at least a 9-1 ratio of shield power needed. Rounded up to 10-1
Assuming: your railgun fires shells with less than 1 square meter cross sectional area.
Right there, you have a 125 million to 1 advantage.
Given a 500m plant on petey, and assuming that annie plant power is roughly proportional to volume...
4pi * 500*500 / 125M ~=~ 4pi * 0.045 *0.045
So you'd only need a 5cm annie's worth of power to *just* breach a
static shield around a Thunderhead.
Of course, if the AI is operational, it will concentrate the power where the hit is expected, and can vary the shield's radius & shape as nessesary. The target will also be dodging, and you still need to get through armor after the shield has sapped much of your kinetic energy.
http://www.schlockmercenary.com/d/20001105.html
The Kitesfear's AI probably wasn't too powerful; it certainly didn't talk much. And having a human muck around with the shield settings is just plain dangerous... the sabots seem much more respectable of a threat now despite the availability of shields.
I imagine the station ended up taking some amount of collateral damage (if not to the hull, at least to the stress level of the administration). But they'd have the computational power to pick off the sabots and minimize the repair bill.
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Note:
Also, if annie power is proportional to volume, all ships that are big enough to pull off unified shields will have about the same protection from conventional weapons. (Since they're roughly the same proportions of ship vs annie plants)
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PS:
Considering the Buuthandi story, and the starbomb comments, we could get a minimum power output per volume of annie plant.
Consider that petey said the blast had a planetary fry zone of X light years, what kind of power such a kill implies, and that the ships were on the order of a few light hours or less from the star.
Take the annie plant needing to shield almost an entire hemisphere, and you should have a decent minimum guesstimate.