{"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 radial velocity variations during eclipses.", "specific_scope": "The focus is on comparing the total mass of two binary star systems based on their observed radial velocity amplitudes and eclipse periods.", "goal": "Calculate the mass ratio of system_1 to system_2 using the given data on radial velocity amplitudes and eclipse periods."}, "summary": "This problem pertains to the study of binary star systems in astronomy, where we analyze the mass of two systems based on their radial velocity variations and eclipse periods. The goal is to determine how much more massive system_1 is compared to system_2 by calculating the total mass of each system using the provided amplitudes of radial velocity. The solution involves applying Kepler's laws and the relationship between mass, period, and velocity in binary systems."}