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Paper: Interstellar Travel in Introductory Courses in Astronomy and Life in the Universe
Volume: 539, ASP 2024: Astronomy Across the Spectrum
Page: 134
Authors: LoPresto, M. C.
Abstract: Interstellar travel is a topic that interests many students of general introductory astronomy. Unfortunately, what most students know about the topic comes from science fiction, where they routinely see relativity, especially time-dilation and the cosmic-speed-limit ignored. This often leads to the first lesson learned being the disappointing reality that interstellar travel would be very difficult. However, there is an example that can be used to offer some hope that travel through the galaxy and even the universe could someday be possible.

An advanced problem in special relativity is to consider a spaceship leaving Earth accelerating at g = 9.8 m/s2 so the passengers “feel at home,” and to determine both the "Earth-time" and “ship-time” for journeys to far-off destinations. The solution necessitates some rather complex integration that is beyond the scope of introductory astronomy, however a simpler expression for the result to be written for the “ship-time” as a function of the distance traveled, traveled that can be used in an introductory course. Calculations show that relativistic spaceflight could someday make the universe accessible (at least for those who go on the trip). Of course, maintaining an acceleration of g for any extended period of time would require much more power than we are capable of generating, perhaps even in our most futuristic fantasies about starships, some of which can make an interesting addition to the discussion.

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