{"knowledge_schema": {"broad_category": "Astronomy \u2192 Exoplanetary Systems \u2192 Orbital Dynamics", "refinement": "This problem involves understanding the dynamics of planets in orbit around a star, specifically focusing on transit and occultation events based on their sizes and orbital periods.", "specific_scope": "The task is to determine the maximum orbital period of a second planet that can transit and occult a star, given the parameters of a first planet in the same system.", "goal": "Calculate the maximum orbital period of the second planet while ensuring it can transit and occult the star, based on the physical dimensions and orbital characteristics of both planets."}, "summary": "This problem falls under the category of astronomy, specifically dealing with the dynamics of exoplanetary systems. It requires understanding how the size and orbital period of planets affect their ability to transit and occult a star. The goal is to calculate the maximum orbital period of a second planet, given that it must fit within the constraints set by the first planet's characteristics and the star's dimensions. The answer to the problem is 50.3 days, indicating the maximum time the second planet can take to complete one orbit while still being able to transit and occult the star."}