{"knowledge_schema": {"broad_category": "Astronomy \u2192 Exoplanet Detection \u2192 Radial Velocity Method", "refinement": "This problem involves understanding the relationship between the mass of a planet, the mass of its host star, and the resulting radial velocity (RV) signal detected from the star's spectrum.", "specific_scope": "The focus is on comparing the orbital periods of two exoplanets detected around stars of similar mass using the radial velocity method, based on the amplitude of the spectral line shifts.", "goal": "Determine the ratio of the orbital periods of the two planets based on the detected radial velocity shifts."}, "summary": "This problem is rooted in astronomy, specifically in the detection of exoplanets using the radial velocity method. It compares two planets orbiting stars of similar mass, focusing on the periodic shifts in spectral lines that indicate the presence of these planets. The task is to calculate how many times longer the orbital period of planet #2 is compared to planet #1, based on the amplitude of the detected shifts in their respective spectra. The answer indicates that planet #2 has an orbital period that is 0.36 times longer than that of planet #1."}