Time Dilation Explained by Stephen Hawking: 1 Day = 1 Year?

[Serious Max]

Here (at ~3:50) they say if the ship reaches 99% of the speed of light, a single day on the ship = year on Earth. But it looks like it's going to be one week on Earth. http://cosmology.com/images/3TimeDilationTable1.jpg Is it just a simplification of some sort in the video?

 

[Ibix]

I agree with you. At 0.99c, time dilation should only be a factor of seven (must...resist...Jeffrey...Hunter...impression). Even accounting for relativistic Doppler effects I only get a factor of 14.

I make it that they need to travel at 0.999996c for a 1:365 ratio.

I'm a little surprised at Hawking lending his name to something with such a straightforward error in it, so I suppose it's possible we're both misinterpreting the video somehow.