http://www.agalaxyatwar.com/forum/2-840-1 Okay.. so I am going to get Mathematicsy here.
So were dealing with 2 ISD's here that are being rammed by ships going to lightspeed at the point they do so.
Okay... now...
In ESB we see a Star Destroyers Bridge explode despite shielding when hit by a 70m asteroid.
So if the asteroid is a sphere (which is roughly is) it would have a volume of 1,436,755.04024 cubic/m
Now lets assume its a really solid rock, we will use granite. So that is 2.5 tons per square meter. 3,591,887.6006 tons then as the mass of the asteroid.
Now lets assume the rock is going the full speed of an ISD… 60 MGLT
1 MGLT is approximately 1/1,000,000 of a lightyear, which would be equal to 1,097 km/hour. That means its going at 65,820 km/hour (18.3km/s).
So just a bit of background here, hitting the earth head on this would result in a crater deeper than the Empire State Building and 3km across, not to be sneezed at.
Anyway back to the math…
So we need the kinetic energy…
kinetic energy = 1⁄2 × mass × speed2
kinetic energy = 1/2 x 3,591,887,600.6 kg x (18,300m/s2) = 6,014,436,192,824,670,000 Joules
So the upper-limit of an ISD’s shield protection can then be taken to deflect an object with an energy of <6,014,436,192,824,670,000 Joules
That’s pretty impressive eh?
Yes Jamie!
Whats that in real-world explosives I wonder? 1.4 Gigatons... thats 28 times the biggest explosion ever (Tsar Bomba), This is equivalent to 39,200 times the combined power of the two nuclear explosives used in World War II; Little Boy (13-18 kilotons) and Fat Man (21 kilotons), the bombs that destroyed Hiroshima and Nagasaki.
However, this raises an interesting question... since nuclear weapons have been designed up to 100 Megatons and even reportedly 250 Megatons... then it is certainly viable that Nuclear missiles could be used as a viable weapon to attack a Star Destroyer.
Something i'd not considered before! But there is canon precedent!
Now... lets work out masses for the ramming ships.
This is where it gets a bit crude
The Space shuttle is
Size
Length
56.1 m
Width
8.69 m
Mass
2,030 tons (2,030,000 kg)
The Freighter (a basis XTS one)
Technical specifications
Length
120.9 meters
Width
75.56 meters
Height/depth
34 meters
Right.. the Shuttle is just under 36.2 (36.185383244206773618538324420677) tons a meter of length.
So the freigher is 120.9 m long..
so if its the same width as the shuttle its mass is just under 4275 tons (4374.8128342245989304812834224599 tons)
but its considerably more heavily constructed (not a light vessel designed to escape the earths gravity with our primative technology, rather this vessel is more akin to the construction of a container vessel, but for the sake of argument I will assume its constructed of the same materials)
and is roughly 8.7 (8.6950517836593785960874568469505) times wider.. so that brings its weight up to at least 38039.224137400540297717580598504 tons (henceforth for convenience refered to as 38039 tons)
38039 tons then for the Mass of the ramming freighter.
So what speed is it going? its jumping to lightspeed, so it could be anywhere in between its sublight maximum speed (17MGLT and Lightspeed).
Lets take then the rough mid-point of half of lightspeed.
We need the kinetic energy…
kinetic energy = 1⁄2 × mass × speed2
So Kinetic energy = 1/2 x 38,039,000 kg x (14,989,622,900.00 squared) = 4.273468530496226 x (e to the power of 23) = 4,273,468,530,496,226,000,000,000,000 Joules
Ramming ship at Half Lightspeed: 4,273,468,530,496,226,000,000,000,000 Joules
Asteroid Energy Hitting at 60MGLT: 6,014,436,192,824,670,000 Joules
So the Kinetic Energy of the Freighter at half-light speed is 710,535,184 times that of the asteroid, even if its made of solid rock.
A fun fact is that a football (american) at half light speed has a kinetic energy of 44,937,758,936,840,880,000 Joules x7 that of the Asteroid..
So maybe I calculated it going a bit fast? So maybe its jumping to light speed, its say at… 100th the speed of light? More fair?
That still produces 170,938,741,219,849,040,000
Freighter at 1/100 of light speed: 170,938,741,219,849,040,000 Joules
Asteroid Energy Hitting at 60MGLT: 6,014,436,192,824,670,000 Joules
Maybe I am still thinking too fast, heck maybe they only just started jumping to light speed? 1/1000th of light speed?
Freighter at 1/500 of light speed: 6,837,549,648,793,960,000 Joules
Asteroid Energy Hitting at 60MGLT: 6,014,436,192,824,670,000 Joules
And still above the Asteroid!
Thus I submit, that both freighters jumping to light speed, in both cases, would have overloaded the Shields of the Star Destroyers, if not annihilated them.
On that basis I contest Cross post stating "The damage to both Star Destroyers were not as extensive as the enemy believed them to be, for both ships still had their shields, although they were starting to weaken" damage atleast the equivalent to the (frankly generous) damage afforded in my post, if not their complete destruction.
I rest my case your honours.
Post script:
I realise that I am only taking the kinetic energy into account, and not the simply huge (as in planet destroying) quantity of radiation produced...
I also realise I have not accounted for the Quantum effects of travelling over 1/3rd of light speed such as time-dialation or Gamma factors which would increase the KE of anything going that speed in practical terms by atleast a factor of 10.
After sharing my workings with a UK Government explosives ballistics science intern...
Mr M says:
you shouls suggest they go fornicate themselves with a stick if they choose to disagree with you
the star destroyer shoudl be royally f***ed at best
Mr M says:
tiny little pieces would be an apt description
Mr M says:
imagine a sheet of ice, that has been shot with a minigun for a good half hour
then cut each little bit in half
then in half again for good measure
then you approach how it should be