Someone over on a writign forum posted this question, and I know it won't work, but I don't know why it won't work.
His idea has two parts. Part one is to fly around the Moon, Earth, or Sun fast enought to start a time dialtion effect. I know why this won't work. Escape velocity would be reached long before any dialtion would be noticed.
Part two was to put the people on the ship in a centrifuge and spin them so fast that it makes up the difference and allows time to fly by. This is the part I want to understand how to explain.
For the simplicity, let's forget the orbit the sun bit and put the ship on a straight path to somewhere at 0.5c.
I figure there are two ways to rotate the crew compartments. The axis can be perpendicualr to the line of travel, in which case the forward and backward motion relative to the ship will cancel out.
The other is that the crew cabins spin on the same axis as the line of travel, so they would be essentuially riding the outer edge of a football (American) or bullet. I want to say that the motion relative to the ship won't change here either, as the head of the crew member and the nose of the ship will always be the same distance from one another, but if the crew compartment is rotating at, say, a curcumference of 100 meters per revolution, the crew member will travel a lot further than the ship for any unit of time. Would the fact that it's a spiral matter at all?
Finally, if we put it back in orbit and used ion engines to maintain the orbit despite going much faster than escape velocity, would that change anything?
I "know" it won't work, and by know I mean I don't know it, but I'm sure I'm right. I just don't know why?
Unless I'm wrong. The why still applies though.