{"knowledge_schema": {"broad_category": "Physics \u2192 Relativity \u2192 Time Dilation", "refinement": "This problem involves the effects of special relativity, particularly time dilation experienced by an astronaut traveling at a significant fraction of the speed of light.", "specific_scope": "The focus is on calculating the perceived travel time for an astronaut moving at 0.99999987 times the speed of light to reach Earth from the Large Magellanic Cloud.", "goal": "Determine the time experienced by the astronaut during the journey to Earth, considering relativistic effects."}, "summary": "This problem explores the concept of time dilation in the context of special relativity, where an astronaut travels at a speed very close to the speed of light. The task is to calculate how long the journey to Earth will feel for the astronaut, given their high-speed travel. By applying the time dilation formula, we can determine the astronaut's experienced time during the journey, which will be significantly less than the time measured by an observer on Earth."}