@Sean Re: I have to ask...
Larry Niven did a Beowulf Schaefer story about a journey to a Neutron Star.
Interesting read about what happened to his ship and then his assertion that the Puppeteers home world didn't have a moon.
(A short story that was the title of that anthology.)
My question was a bit different. Of course as gravity increases the tidal effect on your spaceship would increase.
The question was more about the effects of time dilation on your perception of the process.