Our existing domain is already too big for us. (Which is a thought born of an aging civilization, by the way). The galaxy-what tiny part of it we can ever control-cares not one quantum whether their youthful greed and boldness overcome our wearied satiety and caution. We are not a hair better than our great, greenskinned, gatortailed Merseian rivals, not even considering that they have no hair we are simply different in looks and language, similar in imperial appetites. We are one more-or-less intelligent species in a universe that produces sophonts as casually as it produces snowflakes. Why, I shall tell you what we are and these are, John Ridenour. If my slide rule isn't lying to me, this works out to an average distance between adjacent stars of 9.2 light years, and an average distance of 15.4 light years between adjacent habitable stars. If you can find better figures, use them, but these are better than no figures at all. The equations were derived by me using an analysis of the Habcat database, and thus could be wildly inaccurate. In other words, many of these planets could host alien life forms but would quickly kill an unprotected human being. They were trying to figure out which stars could host a planet that was not so hideously uninhabitable that no possible form of life could live there. They were not trying to figure out which stars could host a human habitable planet. Note: the above equations are based upon the work of Jill Tarter and Margaret Turnbull. Type in the number, hit X y, type in 0.333333333 then hit the equal button.) (If your calculator does not have a cube root button, you can use the "X y" button instead. If you decide upon the number of stars in the empire and want to know it's radius:
N hStars = number of stars with human habitable planets.If you decide upon the empire's radius and want to know how many stars and stars with Terran-type planets, use the rules of thumb: If you are mapping your empire, you will need to figure some sizes. This is because the equation for a volume of a sphere is 4/3 πr 3, but the dramatic increase in volume is not obvious by just eye-balling the equation. Specifically if the radius doubles the volume will increase about eight times (2 3). This means if the radius of an empire expands a teeny-tiny bit, the volume of the empire will expand lots and lots. Which means they are subject to a sort of cube law. This is because they generally start from a point (the homeworld) and expand in all directions like blowing up a balloon. First off, galactic empires tend to be spherical.
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