{"knowledge_schema": {"broad_category": "Physics \u2192 Astronomy \u2192 Stellar Properties", "refinement": "This problem involves understanding the relationship between a star's physical properties (radius and mass) and its luminosity, particularly for black body stars.", "specific_scope": "The focus is on comparing the luminosity of two stars based on their radius and mass, while considering their black body characteristics and the Stefan-Boltzmann law.", "goal": "Calculate the factor by which the luminosity of Star A is greater than that of Star B using the given properties."}, "summary": "This problem is rooted in the field of astronomy, specifically in understanding how the physical characteristics of stars relate to their luminosity. It requires applying the Stefan-Boltzmann law, which states that the luminosity of a black body is proportional to the fourth power of its radius and directly related to its temperature. Given that Star A has a radius and mass 1.5 times that of Star B, the task is to determine the factor by which Star A's luminosity exceeds that of Star B, leading to the conclusion that Star A's luminosity is 2.23 times greater."}