{"knowledge_schema": {"broad_category": "Physics \u2192 Astronomy \u2192 Celestial Mechanics", "refinement": "This problem involves the application of Kepler's Third Law of planetary motion, which relates the orbital period of a planet to the mass of the star it orbits.", "specific_scope": "The focus is on a binary star system with two stars, each having a planet in orbit, and the relationship between the orbital periods and the masses of the stars.", "goal": "Determine the mass of Star B based on the known mass of Star A and the orbital periods of their respective planets."}, "summary": "This problem falls under the category of celestial mechanics in astronomy, specifically applying Kepler's Third Law to a binary star system. It involves understanding the relationship between the orbital periods of planets and the masses of the stars they orbit. Given that Star A has a mass of 1 solar mass and its planet has an orbital period of 1 year, while Star B's planet has an orbital period of 8 years, we can use the law to deduce that Star B must have a mass of 8 solar masses, as the square of the orbital period is proportional to the mass of the star."}