It's your clock comparisons, between the one at a slower velocity and the faster velocity.
So this makes the speed of the Earth and the Galaxy irrelevant.
Either by the warping of gravity or by speed of an object,
time slows down.
Now since the gravity tends to be consistent, that will actually be slower
because it is the mass of the object warping the space-time dimensions.
But on the relativistic aspects of velocity, time doesn't TRUELY slow down,
it only seems to in comparison from your "static" clock to your "moving" clock.
If you took two clocks, and did a test in the same gravitational well level (all the way around),
moving one at super-sonic speeds around the Earth, and took three samples.
One at the start before moving, one in the middle while moving
and one at the end after moving in the exact same area as you started.
then you will note that the first & third same there is no difference.
But on the second sample it would seem the moving one was slower.
Thus relativity.
It's all perspective, dude.
Not reality, like the sci-fi people would like you to have it.
There is at time some confusion due to the limitations of language,
and someone is trying to make a point.
People will not age slower while going at the speed they do in space, not ever will...
unless they get caught in a serious gravity well, but then you have different issues.
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