Space Egg is definitely better.

Space Egg:  2800 Hull (1.5 repair rate), 1150 shields (3 regen rate), 3.5 armor; 13 wave damage, 18.7 phase missile damage, 5 wave damage

Kortul:  2650 Hull (1.5 repair rate), 1425 shields (3 regen rate), 5 armor; 12 wave damage, 29.5 pulse beam damage, 7.25 phase missile damage

Nano-Disassembler is essentially +30 DPS to the Space Egg and -2 armor to the Kortul, plus the Space Egg can field a squad of bombers.  Assuming the Kortul takes Power Surge, that's essentially +25% DPS and +75% shield regen rate, so overall:

Space Egg:  13 wave damage, 18.7 phase missile damage, 5 wave damage, 30 nano-disassembler damage, 12.825 bomber damage; 79.525 total.

Kortul:  15 wave damage, 36.875 pulse beam damage, 7.25 phase missile damage; 59.125 total.

When you also consider that the Space Egg's Nano-Disassembler bypasses shields, it's definitely going to win that battle.  Plus the fact that it has Colonize, whereas the Kortul really has no useful support abilities, it's obvious that the Space Egg is better.

It says Damage Per Second, not Damage Per Shot, so I would assume that rate of fire is taken into account.

No, the Kortul is not better at killing enemy capships.  The Space Egg wins at that due to Nano-Disassembler.  The fact that the Space Egg kills the Kortul in a one-on-one duel demonstrates this.  The Kortul might surpass it once it gets Power Surge to level 3 or something (even then I doubt it since Nano-Disassembler bypasses shields), but on a small map it'll probably be at lower levels for most if not all of the game.

A level 1 Kortul cannot field strikecraft.  I did not forget to include Power Surge; the DPS was adjusted accordingly.

Exactly how is it "slightly more?"

Since it's a small map and the post says to expect early fighting, this will most likely be the case.

1) Forgot aboutthe Strike Craft thing.

2) Assuming you deal 100 damage every two seconds, you will deal 50 DPS. a 25% increase in attack speed means you deal 100 damage every 2*0.75= 1.5 seconds.

100/2= 50 DPS - Normal

100/1.5= 66.666... DPS - +25% Attack Speed

(100/2)1.25= 62.5 DPS - +25% More damage

I would say the Kortul is useful. It can take more of a beating than any other Vasari cap ship, maybe more than any other cap ship period besides the Kol. When upgraded and at max level I've seen my Pulse Beams be rated to 190 damage with Power Surge on. Even not counting the Wave Cannons and Phase Missiles, that kind of DPS is nothing to be taken lightly.

I'd say both are useful. The Egg's Disassembler is arguably the best anti-capital ship weapon and the Kortul's Volatile Nanites can make quick work of enemy fleets.

I've heard tell that the Phase Missile Swarm doesnt actually shoot phase missiles. Its just a name for a generic "deal x damage to y random targets in range"

Your math is off, though.

Space Egg:
3.5*0.05= 0.175
1.175*2650= 3113.75 hull

Kortul
5*0.05= 0.25
1.25*2800= 3500 hull

The point I was making was that a 25% increase in rate of fire is equal to a 33% increase in DPS. Therefore:
Space Egg:  13 wave damage, 18.7 phase missile damage, 5 wave damage, 30 nano-disassembler damage, 12.825 bomber damage; 79.525 total.

Kortul:  15 wave damage, 36.875 pulse beam damage, 7.25 phase missile damage; 59.125 total, 1.33*59.125= 78.63625 damage with Power Surge. Close, but Nano-Disassembler bypasses shields so it will still lose.

I would argue that the Kortul does serve a supporting role in the fleet, its job is to draw fire. A person seeing a ship capable of over 250 DPS at higher levels will certainly seek to destroy it first. Just like the Radiance Battleship and Kol Battleship, the Kortul is supposed to tank the damage while the rest of the fleet works on shooting up the enemy.
While the Radiance has Manevolance (Or whatever that "ATTACK MEEEEEE!!" ability is called), the Kortul has a much more insidious technique: Its called "I deal massive damage. Shoot me or not, I dont care".

All this is kind of pointless though. Each and every capital ship serves a purpose in the fleet, and to get the most out of one ship you often need another! Early in the game you want supporting capital ships to keep your not-so-easily replacible fleet alive, as the game wears on you opt for Kortuls and Vulkoras's to deal more damage once your fleet is well-protected.

Cykur, Thanks for your comments.  Your insights (and experience) are invaluable. I learned quite a bit from your post.  Especially the comments regarding late game cap ship characteristics.

Cataclysm, It wouldn't surprise me if my math was off, but actually its not!  You've got the hull ratings for the 2 ships swapped - partly my fault.  The Egg starts with the highest hull, 2800, and both end with an effective hull of about 3300 - if I understand Armor correctly.  Also, phase missiles aren't a energy weapon, so they don't benefit from the Power Surge ability.  But you're right, its pointless.  I'm sure there's other things we are missing.  Like: possibly removing side weapon's fire too.

That's why I'd like to see how they fare in an actual, early matchup.  But like Cykur observed, those results would be much different later in the game.

Regards, Obi 1

Edit: PS, I hooked up a 2 player LAN, and tested it!  The Egg kicks the Kortul's butt [both level 1].