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The intensity I = Power of the source / Area = PS / A. In the...

The intensity I = Power of the source / Area = PS / A. In the case of the Earth, the PS / A that reaches us from the Sun is 1.4 Watts / m2. To know the total power of the Sun you just have to clear for PS. The area is given by a sphere with a radius equal to the Earth-Sun distance, R = 1UA. (1UA = distance from Earth to the Sun.) With this intensity of radiation, a planet with mass similar to Earth must have liquid water. For the Brown Dwarf star Next to Alpha Centaury, with hardly an intensity I = 0.0017
that of the Sun, how far must Earth orbital from that star to have an intensity equal to that we have with the Sun?

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