Thank you, you are absolutely right. I guess I was just too quick in my head and that is why I thought that sqrt(1/2)=1/4.
Now, if 1-beta^2 = beta^2, then
1/2 = beta^2 and
beta = 1/sqrt(2)
That also sounds much more reasonable. Thanks again!
Homework Statement
If a spacecraft is traveling to a star which is located at a distance of 1 lightyear and it would take the spacecraft 1 year to reach the star in its own frame, how fast would the spacecraft actually fly? Also, how long would the journey take for an observer on Earth...