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inner radius of habitable zone (AU) $= \sqrt{\frac{L}{1.1}}$ outer radius of habitable zone (AU) $= \sqrt{\frac{L}{0.53}}$ where $L$ is absolute luminosity of the star. See Calculating the Habitable Zone for more information.


I'm having trouble understanding what you're trying to say, but assuming you're just looking for period resonances of the form $a:b$ where $1\leq a,b\leq 5$, the following 4 lines of Mathematica code using your example list of extrasolar periods should suffice: A = {0.44, 0.8, 0.9, 0.9, 1.2, 2.0, 3.0}; n = Length[A]; d = 0.05; ResonanceMatrix = ...

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