{"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.", "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 based on the conditions that allow for both transit and occultation events."}, "summary": "This problem pertains to the field of astronomy, specifically the study of exoplanets and their orbital dynamics. It requires calculating the maximum orbital period of a second planet that can transit and occult a star, given the parameters of a first planet in a circular orbit. The solution involves understanding the geometric relationships and timing of transit and occultation events, leading to the conclusion that the maximum orbital period of the second planet is 33.5 days."}