{"knowledge_schema": {"broad_category": "Astronomy \u2192 Exoplanets \u2192 Orbital Dynamics and Temperature", "refinement": "This problem involves understanding the relationship between the orbital periods of exoplanets and their equilibrium temperatures, particularly in a system where planets are in orbital resonance.", "specific_scope": "The focus is on calculating the ratio of equilibrium temperatures of two specific exoplanets (Planet_4 and Planet_2) based on their orbital periods and assuming equal albedo.", "goal": "Determine the ratio of the equilibrium temperatures of Planet_4 to Planet_2 using their orbital period ratios."}, "summary": "This problem relates to astronomy, specifically the study of exoplanets and their thermal properties. It requires understanding how the orbital periods of planets affect their equilibrium temperatures, particularly in a resonant system. The task is to calculate the temperature ratio between two planets based on their given orbital period ratios, assuming they have the same albedo. The answer indicates that the ratio of the equilibrium temperatures between Planet_4 and Planet_2 is 0.83."}