{"knowledge_schema": {"broad_category": "Astronomy \u2192 Exoplanet Studies \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 multi-planet system.", "specific_scope": "The focus is on calculating the ratio of equilibrium temperatures of two specific exoplanets (C and A) based on their orbital periods, which are given in a specific ratio.", "goal": "Determine the ratio of the equilibrium temperatures of Planet C to Planet A using the provided 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. Given the ratio of the orbital periods of four exoplanets, the task is to calculate the temperature ratio between two of them (C and A). The solution involves applying the principles of planetary temperature and albedo, leading to the conclusion that the ratio of the equilibrium temperatures of Planet C to Planet A is 0.79."}