How long it takes a spaceship (proper time) to go to some planet 500 light years away from earth, if it moves with a speed 99.999% of the speed of light?
maragos

I not sure but I think it is 185998.14*2.932848*10^15.
Hope this helps
:)

TT=tt(1-BetaSquare)
T=time for spaceship
t=time for us500LY
beta=speed parametr0.99999
T=500*0.004472125LY
T=2.236LY

τ²c²=t²c²-x.x

x.x=x²+y²+z²=r²

v=r/t

τ²=t²(1-v²/c²)=t²(1-β²)

τ=t(1-β²)^½=t/γ

t=τγ

τ=time for spaceship

t=time for us 500LY

β(beta)=speed parametr0.99999

γ(lorentz factor)=1/(1-β²)^½

τ=500*0.004472125LY
τ=2.236LY
:-O