Fuel The Force

This is a great bit of budgeting done by OVO, an energy company using the input of experts and academics to calculate how much it would cost to run the Death Star Space Station for one day.

The print is a bit small and so those nice people at OVO Energy provided the following working notations. Thanks.

Recharging the weapon

Thanks to StarDestroyer.net, we know that the DS1 must have a power output of 10³³W, which is 72 million times the power output of the earth and three million times the power output of the sun. 
In order to recharge the laser in the 24-hour time period specified in the movies, it would therefore cost us:

10³³W = 9.99999999999999879 x 1029 kW /24-hour recharge =4.1666667 x 1028 kWh = 

£6.25 x 1027

What about ‘recoil’?

One aspect of the weapon’s capabilities that certainly doesn’t seem to be factored into the film, or any other calculations, is recoil. Professor Alexander Barnett, from Dartmouth University, discusses its possible side effects:

“Momentum carried by that much light energy is p = E/c ~ 1e24 newton seconds. The Death Star doesn't have that much mass - even if we assume it's 10% solid metal, it only has a mass of around 1x1017 kg. So, that means once it’s finished firing the beam, by conservation of momentum, the Death Star is now flying backwards at: 

1 x 1024/1 x 1017 ~ 1 x 107m/s

“That’s around 3% of the speed of light, meaning it would travel 100 times its own diameter (100km) every second. I didn't notice any movement in the film, but maybe it shoots another beam behind it to balance itself out that we just don’t see!”

Jumping into Hyperspace

Our friends over at Star Destroyer have done a lot of the hard work again here and worked out that the much larger second Death Star (DS2) would require 5 x 1030J for a hyperspace jump. So, all we needed to do was find out how much smaller, in volume, the DS1 was, and apply that to the energy needed:

5x1030 J ÷ 2.36464088398 (DS2: 2,140,000,000,000,000 ÷ DS1: 905,000,000,000,000) =

2.114486 x 1030J = 5.87357222222222221 x 1023 kWh =

£8.8103583 x 1022

Lighting

There are already tools out there to work out the amount of light needed to fit homes, based on the square footage of your house, so the next thing we needed to work out was the square footage of the Death Star. We know from Wookieepedia that the DS1 has dimensions of 120km x 120km, with a volume of roughly 9.05e14m3and 21,588 floors, so: 

9.05x1014 ÷ 21,588 = 4,192,300,437.25 (average volume) ÷ 5.5586436 (average height of each floor) = 754,194,861 (average square footage) x 21,588 = 1.6281558 x1014 m2

To work out the amount of light needed to fill that area, we needed to divide the square footage by the lumen rating of a standard 60W bulb to get the number of bulbs required: 

191,547,745,149 bulbs

Then we multiply the number of bulbs by the hourly rate per bulb (0.9p) and multiply by that by 24 to get the cost of lighting the structure for a day:

£4.137431313 x 1010

Eating and drinking

Fuelling evil people is pretty costly too, it turns out. To work out the cost of the energy needed to feed the staff on board, we used three example meals of porridge, bread, and casserole. We divided them into portions and then worked out how many times the required appliance would be used. These figures could then be applied to our average cost per use e.g. 11p per hob use, 23p per oven use, 2p per kettle use. 

Breakfast: Porridge - 10 portions = 206,894 (hob uses) = £22,758.31
Lunch: Baked bread - 4 portions = 568,958 (oven uses) = £118,963.75
Dinner: Casserole - 6 portions = 344823 (oven uses) = £79,309.25
Cups of tea: 4 cups = 425,000 (kettle uses) x 2 cups a day = £16,500

Washing and drying

And you thought eating on a turbulent aeroplane was bad? Imagine how frustrating it must be to tackle a spaghetti bolognese while Mr Darth’s busy waging a full-scale battle? Stains must be a common occurrence on the space station, so how much would it cost to keep those uniforms looking clean? Well, the average wash cycle costs 15p and the average drying cycle costs 33p, so:

Washing clothes: 5 uniforms = 413,787 (cycles) = £49,654.45
Drying clothes: 5 uniforms = 413787.4 (cycles) = £136,549.84

Waste and recycling

We all remember the famous scene where Luke, Hann, Leia, and Chewy get trapped in the Death Star’s garbage compactor. Well this got us wondering about the amount of waste the station would create on a daily basis. The average person in the UK creates 1.13kg a day, which for the staff on board is: 

2341016.39 kg = 2341.016 tonnes

To put that in context, we looked at West London Waste - a local council-run refuse centre that offers businesses a rate of £195 per tonne for waste removal. Using this as a basis for our calculation, this would mean a daily bill of: 

£456,495

Total

So, the practical costs of running the Death Star? A whopping:

£6,254,254,800,000,000,000,000,000,000

Or 

£6.2 octillion, 30 trillion times all the money on Earth.