{"knowledge_schema": {"broad_category": "Astronomy \u2192 Exoplanetary Systems \u2192 Orbital Dynamics", "refinement": "This problem involves understanding the relationships between the sizes of planets, their orbital periods, and the conditions for transit and occultation events in a multi-planet system.", "specific_scope": "The focus is on determining the maximum orbital period of a second planet that can transit and occult a star, given the parameters of a first planet and the star's characteristics.", "goal": "Calculate the longest orbital period for the second planet that allows it to show both transit and occultation events with respect to the star."}, "summary": "This problem falls under the category of astronomy, specifically dealing with exoplanetary systems and their orbital dynamics. It requires understanding how the size of a planet and its orbital period relate to the occurrence of transit and occultation events. The task is to calculate the longest possible orbital period for a second planet, given that it shares the same orbital plane as a first planet and orbits a star larger than the Sun. The goal is to find the maximum orbital period that still allows for both transit and occultation events."}