{"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 distance from a star and the star's properties.", "specific_scope": "The focus is on determining the ratio of equilibrium temperatures of PlanetX and PlanetY, given their orbital characteristics and the properties of the star they orbit.", "goal": "Calculate the ratio of the equilibrium temperatures of PlanetX and PlanetY to understand how their distances from the star and other factors affect their thermal properties."}, "summary": "This problem is centered on the calculation of equilibrium temperatures for two exoplanets orbiting a star. By using the properties of the star and the planets, we can derive the temperatures based on their distances from the star. The goal is to find the ratio of these temperatures, which provides insight into how the planets' characteristics influence their thermal environments. The answer to the problem is that the ratio of the equilibrium temperatures between PlanetX and PlanetY is 0.67."}