{"knowledge_schema": {"broad_category": "Astronomy \u2192 Exoplanetary Science \u2192 Planetary Temperature Calculations", "refinement": "This problem involves calculating the equilibrium temperatures of two exoplanets based on their distances from a star and the star's properties.", "specific_scope": "The focus is on determining the ratio of equilibrium temperatures of two planets orbiting a star with known mass, radius, and effective temperature.", "goal": "Calculate the ratio of the equilibrium temperatures of Planet1 and Planet2 using the given parameters."}, "summary": "This problem is centered on the calculation of equilibrium temperatures for two exoplanets orbiting a star. By utilizing the star's properties (mass, radius, and effective temperature) and the planets' characteristics, we can derive their equilibrium temperatures. The goal is to find the ratio of these temperatures, which will help us understand the thermal dynamics of the planets in relation to their host star. The answer choices provided will guide the students in selecting the correct ratio based on their calculations."}