{"knowledge_schema": {"broad_category": "Astronomy \u2192 Stellar Dynamics \u2192 Binary Star Systems", "refinement": "This problem involves analyzing the properties of binary star systems, specifically their mass and velocity characteristics as they relate to their orbital periods and radial velocities.", "specific_scope": "The focus is on comparing the mass of two binary star systems based on their eclipse periods and radial velocity amplitudes, applying Kepler's laws and the mass function for binary stars.", "goal": "Calculate the mass ratio of system_A to system_B to determine by what factor system_A is more massive than system_B."}, "summary": "This problem pertains to the study of binary star systems in astronomy, where we analyze the mass and velocity characteristics of two systems to determine their relative masses. By using the given eclipse periods and radial velocity amplitudes, we can apply the principles of stellar dynamics to calculate the mass ratio. The goal is to find out how much more massive system_A is compared to system_B, with the answer indicating that system_A is 0.5 times more massive than system_B."}