{"knowledge_schema": {"broad_category": "Astronomy \u2192 Exoplanetary Science \u2192 Planetary Equilibrium Temperature", "refinement": "This problem involves calculating the equilibrium temperatures of two planets orbiting a star, taking into account their distances from the star and the star's effective temperature.", "specific_scope": "The focus is on determining the ratio of equilibrium temperatures of two planets with different masses and radii, orbiting a star with a known effective temperature.", "goal": "Calculate the ratio of the equilibrium temperatures of Planet A and Planet B based on their distances from the star and the star's effective temperature."}, "summary": "This problem is centered on the concept of equilibrium temperature in planetary science, where we need to calculate the temperatures of two planets orbiting a star. Given the star's effective temperature and the planets' characteristics, we can derive their equilibrium temperatures based on their distances from the star. The goal is to find the ratio of these temperatures, which helps us understand how different planetary properties affect their thermal states. The answer to the problem is that the ratio of the equilibrium temperatures between Planet A and Planet B is 0.67."}