I get ~50m diameter at 50km with 0.057 beam angle.
Triangle
Side a = 50000m
Side b = 50000m
Side c = 49.74188m
Angle A = 89.971
Angle B = 89.971
Angle C = 0.057
Checking by cutting circle into 0.057 degree slices and dividing also matches up.
360 degrees / 0.057 = 6315.789473684211
6315.6 for ease
50000m radius circle
314000m circumference
314000/6315.6 =49.71m
can also increase by just changing m to km for ~50km wide beam at 50000km
So assuming I didn't make a mistake.
Outsider Terran GWS HS-100 100kg KKV 400 km/s damage 27
Energy 8000000 MJ
85% of 100mt= 355300000000MJ
355300000000/8000000=44412.5
44412.5 times greater energy.
Energy at 50000km with 50km wide beam spread over 314000000m2
355300000000/314000000 =1131.53MJ m2
damage per m2=0.00381891375 in outsider damage charts
Well that seems useless... is it?
1kg of TNT has 2.175MJ of energy.
1131.53MJ=520kg of TNT per m2.
Vaporization for steel is ~6.8MJ per kg at 0c
166kg of steel per m2 is vaporized by the blast at 50000km(this is 2.2cm but its not actually correct because less steel evaporates while the steel will shatter like glass from the evaporated material expansion to at least 30cm depth)
Nope not useless at all but its still kinda puny compared to other weapons...
But its more shotgun then focused beam so lets add up its total damage.
Whats the total energy its delivering to a ship.
Top down hit on the Tempest at 50000km would cover 112500m2.(best case hit, can't work out a front on profile because I don't know its height and no profile picture to try to estimate)
Quick and dirty surface area by 750m*450m/3 due to 66/33 empty/filled space estimation on its profile picture.
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.
Most powerful Plasma weapon is the Historian Plasma Array: Overloaded 26-40 damage at 5000km.
Loroi Waveloom max damage 160 at 100000km.
Casaba Howitzer full top profile hit on the Tempest = 429 points of damage at 50000km in outsider damage.
Hydrogen particle beam is also a plasma, Loroi and Umiak shields overload if hit by a powerful plasma blasts and cause damage to the ship even if the plasma was deflected.
Effects at 50000km
Can't be dodged due to area covered.
Their shields are going down.
They are taking damage from overloaded shields even if the shields protected the ship.
Without shields or maybe with them.
The hull will face massive crushing forces even if the armour is not shattered.
Massive amount of heat will be pumped into the ship, more then any kind of conductive/evaporative/radiant system could hope to deal with for the short term at least.
I suspect they will lose all sensors/turrets/engine nozzles and anything else on the side of the ship hit even if armour holds.
Possible spalling of internal hull sending shards of razor sharp shrapnel kicking around the inside hull.
Despite its awesome destructive power its not a GOD weapon....
Loroi and even Umiak have weapons that outrange the Casaba Howitzer and have ships with vastly greater acceleration, after the first engagements they would both just reverse engines and never let Terran ships get in range to be effective and pick them off at a distance.
Siber wrote:Contextually I'm guessing that this is arrived at by taking the KE of the described railgun projectiles in the weapon profiles page and then getting a joules-per-damage point conversion? The validity of that as a general rule is up to you I guess, but I'll run with it for the moment.
With a divergence angle of 0.057, 100 MT, 85% efficiency, and that conversion factor, at 50km the howitzer is a pretty fearsome weapon. Around 154 damage per square meter of exposed target hull, on 7.7 km radius zone. The meanest Umiak single torpedo has a max damage of 4000, and the meanest cluster munition 4320, with actual performance probably lower due to spent fuel. The Loroi counterparts do 3000 and 12000, respectively. Interestingly, the weapon profile page mentions that torpedoes can be omnidirectional, for damage to potentially multiple targets, or as a shaped detonation to hit a single target but not have to get as close before detonating. Sounds familiar.
The wave-loom does between 20 and 160 damage at a range of 100 megameters(max range being 600Mm, but much weaker there), where our notional casaba blast will be attenuated to around 0.00004 damage per square meter. Pulse cannons and plasma foci are still doing damage in that range band and beyond, too. Obviously not a perfect comparison since you'd want the howitzer to cross some of that distance first, but it gives some context to how coherent and long ranged those weapons are. Close range in this conflict isn't 50 km, it's 5000 km.