- #1
goldilocks
- 4
- 0
Hello, I would very much appreciate some help getting started with the following problem. As I don't really know where to begin:
Show that for a space-ship to travel a distance, D, from Earth so that its “on-board” proper time elapses by, at most, T, the ship’s speed (relative to Earth) must be such that:
v > c/((1+((c^2*T^2)/D^2))^0.5)
Hence argue, in principle, that relativity imposes no limit to the distance that an astronaut can aspire to travel during his (finite) lifetime, provided his spaceship can reach speeds sufficiently close to c
Thank you very much! xxx :-)
Show that for a space-ship to travel a distance, D, from Earth so that its “on-board” proper time elapses by, at most, T, the ship’s speed (relative to Earth) must be such that:
v > c/((1+((c^2*T^2)/D^2))^0.5)
Hence argue, in principle, that relativity imposes no limit to the distance that an astronaut can aspire to travel during his (finite) lifetime, provided his spaceship can reach speeds sufficiently close to c
Thank you very much! xxx :-)