{"knowledge_schema": {"broad_category": "Astronomy \u2192 Exoplanet Studies \u2192 Orbital Dynamics", "refinement": "This problem involves understanding the relationships between the physical properties of exoplanets, such as temperature and mass, and their orbital characteristics, specifically the orbital period.", "specific_scope": "The focus is on calculating the orbital period of Planet3 in relation to Planet1 using the given ratios of temperatures and masses, along with the albedo effect.", "goal": "Determine the factor by which the orbital period of Planet3 is larger than that of Planet1 based on the provided ratios and albedo."}, "summary": "This problem falls under the study of exoplanets and their orbital dynamics, where we analyze the relationships between temperature, mass, and orbital period. The task is to calculate how much longer the orbital period of Planet3 is compared to Planet1, using the ratios of their equilibrium temperatures and masses, while considering a constant albedo. The solution leads to the conclusion that the orbital period of Planet3 is approximately 33.4 times larger than that of Planet1."}