{"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 masses 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 task is to determine the mass ratio of system_1 to system_2, which involves applying principles of stellar dynamics. The goal is to find out by what factor system_1 is more massive than system_2, leading to the conclusion that system_1 is 0.4 times the mass of system_2."}