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The Death Star has a
main reactor core several kilometers across and roughly ovoid (possibly
toroidal) and highly unstable. This reactor core was capable of
providing enough power for all the systems onboard the battlestation,
and most notably the main weapon, a device of unknown but complex
operation capable of blowing up a planet. This suggests a high if
difficult to quantify level of power consumption and generation. The
exploding reactor of the Death Star is referred to as the "unleashed power of a small artificial
sun."
A ship necessarily exists some distance beyond a planet before engaging
hyperdrive, referred to as jumping to lightspeed. We may take this
literally in order to establish a minimum groundwork for FTL travel's
power requirements by conservation of energy by assuming a ship may
drop
out from hyperdrive at any time during the trip.
If the minimum distance to jump to lightspeed away from a planet is at
some local value of g, beyond
which the hyperdrive may not develop sufficient power, then we can
calculate the minimum power of the hyperdrive system, by rate of change
in gravitational potential, as mgc.
For one planetary diameter from the surface of an Earthlike planet,
this is ~357 megawatts per kilogram. For 6.5 planetary diameters, this
is 17 megawatts per kilogram.
An exawatt range plant should therefore power a hyperdrive for a 2.8-60
million ton ship; as we may suggest with great certainty that an
Imperial Star Destroyer has a mass falling within this range, it is
appropriate to estimate an ISD's output as being in the general
neighborhood of an exawatt and possibly higher.
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