I was merely countering the idea that battery specific energy has not markedly improved over the introduction and widespread use of lithium ion batteries. Specific energy has about doubled and could possibly nearly double again (eventually), though my guess is that most of the new improvements will come from switching to another chemistry.
Trying to take a stab at the second stage ISP they're getting based on the pictures on the website...
http://www.rocketlabusa.com/static/images/first-stage-hi.png
http://www.rocketlabusa.com/static/images/second-stage-hi.png
Two large battery packs?
You do realize that good LiPos can get upwards of 5-10kW/kg, right? That's much, much better than the engine in your car, I guarantee it.
Two large battery packs?How do you know that?
If all non-fuel stuff is represented there presumably there's a pressurized pod for avionics.
Trying to take a stab at the second stage ISP they're getting based on the pictures on the website...
http://www.rocketlabusa.com/static/images/first-stage-hi.png
http://www.rocketlabusa.com/static/images/second-stage-hi.png
Scaling the second stage picture so the combustion chamber is the same number of pixels across as the first stage, I get 160 and 365 pixels across for the nozzle so the expansion ratio from that would be something like 5.5x larger.
Taking a stab at sea level expansion ratio, looks like something like 12. Which would suggest a chamber pressure on the low side, like maybe 800 psi or less. That makes sense if there's a large mass penalty for increasing pump power.
Getting to upper stage ISP from this info is over my head.
On the subject of pump power, would it make sense to run the first stage engines on a profile such you gradually throttle back as atmospheric pressure and vehicle weight reduces?

What's the exit pressure that goes with your 800 psi and a 12:1 nozzle?
Normally under-expanded exhaust just means you're not getting the most out of your propellant, but for this engine it also means you spent too much electrical power (and battery weight) running at that chamber pressure. There must be a point at which the weight penalty for additional battery power to run at a higher chamber pressure isn't offset by reduced gravity loss from the increased thrust.
If those two pods are the battery packs for the second stage, where did they put all the batteries for the first stage?
Supposing that the 2nd stage burn was 3x as long as the first stage, you'd still need 3x more batteries on the first stage.
What's the exit pressure that goes with your 800 psi and a 12:1 nozzle?I'm not actually sure, I'm basically scaling from Merlin 1C. 12:1 would be 66 psi or so, but isn't there a Bernoulli thing going on here as well since the exhaust velocity is large?
Your question reminded me of a picture that was posted of a Rutherford test. Googled some pictures... here's a comparison to Merlin:
https://qzprod.files.wordpress.com/2015/04/rutherford-test.jpg
http://33.media.tumblr.com/tumblr_m67uwzl0N01rti11fo1_1280.jpg
Merlin is a little under-expanded as can be seen from the exhaust continuing to expand, but Rutherford actually pinches in a little which suggests it's a little over-expanded. This can be gotten away with to an extent if care is taken with the nozzle design, I think SSME did this. That might suggest an even lower chamber pressure, like maybe 500 psi. That's still much higher than pressure fed, the examples I've looked at are <200 psi.
This model only gives 270/309 Isp split for the 1st stage engine though. I guess we conclude that the 327 Isp on their web site is for the vacuum version? If you increase the area ratio to 39 in vacuum, this model gives 327 and 5300lbf for the same chamber pressure.
Merlin is a little under-expanded as can be seen from the exhaust continuing to expand,
but Rutherford actually pinches in a little which suggests it's a little over-expanded. This can be gotten away with to an extent if care is taken with the nozzle design, I think SSME did this. That might suggest an even lower chamber pressure, like maybe 500 psi.
Electron’s first stage is powered by multiple Rutherford engines with a total peak thrust of 146.6kN, enough to lift a fully laden double decker bus off the ground.
• Lift off thrust: 152kN (34,500lbf)
• Peak thrust: 183kN (41,500lbf)
I can't get anything close to 327s vacuum performance with 800psi and 12:1 in RPA. 269s/310s when real losses are estimated into the figures.
At SL, no. Over-expanded like all booster engines.
I can't get anything close to 327s vacuum performance with 800psi and 12:1 in RPA. 269s/310s when real losses are estimated into the figures.
$4.9M for 100 kg to SSO is $49,000 a kg. That's not cheap!
Beck said preparations were under way to submit resource consent applications to Christchurch City Council for the launch site.
[..]
Initially Rocket Lab would launch one rocket a month, but aimed to increase frequency to one a week using a number of sites. Beck said.
The company's chief executive, Peter Beck said the area met all the firm's requirements; a sparse population, a launch path over the ocean and proximity to a city where the 18m tall Electron Rockets can be built.
At SL, no. Over-expanded like all booster engines.Interesting, thanks.I can't get anything close to 327s vacuum performance with 800psi and 12:1 in RPA. 269s/310s when real losses are estimated into the figures.Interesting. I think it's even harder to argue for a really high chamber pressure so that may have to be considered ISP with the vac nozzle.