{"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 physical characteristics and the properties of their host star.", "specific_scope": "The focus is on determining the ratio of equilibrium temperatures of two planets orbiting a star, using their masses, radii, and the star's characteristics.", "goal": "Calculate the ratio of the equilibrium temperatures of Planet1 and Planet2 to understand their thermal properties in relation to their host star."}, "summary": "This problem is centered on the calculation of equilibrium temperatures for two exoplanets orbiting a star, which is essential in exoplanetary science. By using the mass, radius, and effective temperature of the star, along with the planets' characteristics, we can derive the equilibrium temperatures. The goal is to find the ratio of these temperatures, which provides insight into the thermal dynamics of the planets. The answer to the problem is 0.53, indicating that Planet1 is cooler than Planet2 in terms of equilibrium temperature."}