The inner habitability zone of a star is the innermost point in space where an earthlike planet would have a surface temperature just below the vaporization temperature of water and is – theoretically – the warmest a planet could be and still support life. the distance to the habitability zone is given in astronomical units by the equation: d subscript i n end subscript equals square root of fraction numerator l over denominator 1.1 end fraction end root where l is the luminosity of the star compared to the sun. what is the inner habitability zone distance in au for a star with a luminosity 1.66 times greater than the sun’s luminosity?