Matter is here-and-now, and then it’s there-and-then. What’s the problem?
Are you referring to the path of the Milky Way? Does your calculation include the velocity we retain “outward” from the oiginal Big Bang?
There is no “outward” from the Big Bang; the Big Bang has no center from which everything is receding. Space is expanding. Which brings up another good point: If space is expanding, what point in space maps to the point in space you are right now 6 months from now? Well, actually, there is no fixed frame of reference for space so the whole question is kind of nonsensical.
If there is no “outward”, then in what direction are we being accelerated by the mysterious so-called “dark energy”?
Maybe of embarassment?
[BS]
You all seem to be overlooking the point that time travel (displacement actually) is still bounded by gravity and that the subject will move with approximately the same spot as where he started. That word “approximately” is the real tricky part though as there still is a small displacement lag which can cause one to accelerate across the room or quite possibly out of their clothes. That’s why most of us departing time travelers wear helmets…and clean underwear.
Glad to help,
Bubba
[/BS]
Space itself is expanding (dark energy is thought to accelerate the expansion). Things are not speeding away from some center, they are all speeding away from each other. There are imperfect analogies to try to describe this, like if you draw spots on a balloon then blow more air into it. But that’s a two-dimensional model and we live in a third dimensional universe. It’s very difficult to conceptualize in concrete terms which is why math is such a big part of physics. (I am very much the layman at this stuff.)
Nonsense! If you go about five galactic clusters over thataway, you’ll see a big ‘Z’ axis, you should hit it about 15 trillion AUs over the (X,Y) plane. From there, the rest is easy. 
Professor Killbody didn’t think it’d be a problem…
Assuming you have the immediate presence of mind to hit the reverse button, you might enjoy the brief sensation of your saliva boiling on your tongue per the experience of one lucky space suit tester in 1966 mentioned here.
-DF
Time and space are married to each other. Messing with one causes the other to retaliate. So when you travel through space, you are blissfully unaware that time is beating you right back - the faster you slice through space, the more time is pushing you into the abyss of the past, compared to another object moving more respectfully - slowly - through space.
So if you mess with time, space will kick you around, imparting a kick in some random direction in space, so you never know where you will end up. Presumably the larger your transgression in time, the larger the kick imparted by space will be, so you might end up in the Pinwheel galaxy instead of on the earth’s orbit 6 months in the future.
Coming to the OP’s question, instantaneous time travel results in death by time dilation, so that’s most likely your fate.