Death Star novel: Moving Alderan to hyperspace.
Posted: 2009-03-04 09:34pm
I've made a few calculations on Spacebattles, and I'm reposting them here because a certain little boy doesn't like them very much. I figure I may be onto something! My argument is based on an older quote about a star destroyer using more energy in a single jump to hyperspace than a planetary civilization uses in its entire lifetime.
If anyone would care to rip this apart in a (not so) friendly manner, I'd be glad to take it.
As it turns out, it does seem more efficient to hyperspace a planet rather than DET it up, but only by about 5 orders of magnitude, much less than the Trekkies would prefer given how often they bring this up.. And that assumes a very heavy Star Destroyer, and a rather short lived and primitive planetary civilization (1964 earth, 1000 years of energy production at those levels.)Let us assume that a Star Destroyer is about 65 million cubic meters in volume, and that ten percent of this volume is solid mass. Let us further assume that the Star Destroyer is made of pure iron to keep things simple, giving a density of 7870 kg/m³. This gives us a mass of just over five hundred billion metric tons (511,601,155,000,000 Kg; 511,601,155,000 metric tons, 5.11e14 kg.) The mass of the earth is 5.98e24, a difference of just over ten orders of magnitude. If only 1% of that is blasted into hyperspace by the Death Star, it will still require eight orders of magnitude more power than the Star Destroyer's jump to hyperspace.
A K1 civilization generates power at about 1e17 watts, so this gives us our next figure of interest. We will use the K1 civilization because it is almost by definition planetary. Using this and multiplying out for a thousand years of this power level gives us 3.1557e27 joules. Using the original 1964 K1 figure of 4e14 gives us a still respectable 1.26e23 joules, and current energy consumption by the planet earth works out to around 5.049e23 joules.
We can do some more calculations now to work out just what our power requirements per kilogram are. Going with the most conservative estimate of energy needed, we are looking at around 2.97e8 joules for each kilogram into hyperspace, or 1.477e33 joules to shift the entire earth into hyperspace.
If anyone would care to rip this apart in a (not so) friendly manner, I'd be glad to take it.