Right, I think I got crossed up and thought you were proposing that it was dangerous when the beam was dispersed over a 50km wide area, instead of being detonated at 50km. This comes from the idea that I recall being a starting point but I think we've wandered from, that a cassaba howitzer based firing chamber was a reasonable competitor weapon. If you can get your bombs up within 50km then yes it's probably an effective blast, but as I noted in my last post the combatants apparently already use shaped blasts to extend the kill range of their torpedoes, so it's not a very special trick.I get ~50m diameter at 50km with 0.057 beam angle.
However, in my experience divergence angle in these kinds of contexts is measured as angle from the center of the cone to the outside, not angle from far sides of the cone. That would make this a ~50 meter radius, not diameter. I was not able to find a source for the 0.057 beam divergence CHs that was perfectly explicit on this distinction, so I did my math on what I understand to be the default. So all other things being equal you should be getting intensities four times higher than I am.
However, 314000000m^2 is the area of a 10km radius circle, not a 50km or 25km one.
With a 50km radius area of effect, other assumptions permitted, I end up with the surface of the tempest absorbing a total of 17 points of damage, not 429.
Perhaps, but you already did the math to what damage is done per square meter, and it's not that impressive. If their shields are any good at deflecting plasma, and the armor any more significantly sophisticated than steel, I wouldn't expect this to be a big deal. This is exacerbated if the impact gets spread out at all along the time axis by the trip, which I expect it might be.112500m2*1131.53MJ
127237500MJ of energy delivered to the tempest on a top down blast at 50000km
It hits with 15.9 times the energy at 50000km then the Terran GWS.
Since we don't know the actual operating principles of their shields and the weapons they are built to repel(I suspect both depend on magnetics that aren't actually possible in reality) then we can't say for certain if this kind of broad slap actually has the same effect as a focused impact.
It's also worth considering that the most optimistic number I was able to find on Atomic Rockets was a jet velocity of 10,000km/s, with most figures being much lower. At the ranges under consideration that gives five seconds(or more, in less optimistic numbers) for the plasma to radiate energy and do other interesting things, as well as time for the target to react with turning and/or burning.