Fun fact: I worked out Ariin's weapons damage potential. Also I made an error, its a coil gun not a rail gun.

At 1.3e14 Joules per shot (Ek = ½ × 200,00 kg × 60 km/s2), it has a standard destructive output of 30.23 kilotons TNT-equivalent. 

Again my math might not be perfect, as sizing is an issue. But what we are seeing is a gun more powerful than any known nuke, fired at a speeds that can break orbit and still punch through a ship.

Now this is not exact math I lean heavily on theories and more importantly on sci-fi games and books for this. I am not a math professor nor am I good at math.

Again I did this for fun, I think its funny that Ariin. (Who does lack in proper schooling.) Will probably not know how powerful it is until someone explains it properly.