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I honestly think this would not happen because you would be time-travelling in the Earth's frame of reference
Yeah, or if the time machine is genuinely a teleporter, then the invetor should at least know how to correct for drift.
I mean, it's the space-time continuum, it's connected! As the documentary Stargate SG-1 shows, we're well acquainted with spatial and chronological drift over interstellar distances.
There is no space reference in time traveling only a time reference, the time traveler don't change his start point, but the Earth and the whole solarsystem do. If you travel 6 month to the future, you are still in the point where you started, but the Earth will be on the other site of the Sun. A time machine must be a spaceship, otherwise you won't survive. That is the error of almost all movies about time travel since H.G.Wells.
This is a huge assumption. Why is it necessary that time would not have a space reference? I'd actually say that based on relativistic physics there probably is a space reference because the dimensions are linked. I think it's possible that the momentum of the current movement could remain constant and thus stick the time traveling device to the earth. Coming to a complete referential stop in space would require beyond immense energy and be inefficient if one only wants to travel in time
If you travel 6 month to the future, you are still in the point where you started, but the Earth will be on the other site of the Sun.
Why would you remain spatially locked to the sun? The solar system is moving around the milky way. The Milky way is traveling at around 370 miles per second if we use the universe as a frame of reference. A point is both a place and a moment. Everything is moving relative to everything else. Time travel is also space travel.
Kinda depends, doesn't it? A travel that let's you see glimpses of reality/earth implies you're making smaller skips that may keep you somewhat held in place. Being able to establish a vector through time may also imply control of vectors in space.
Also, six months would likely take us farther than the other side of the sun. If we're completely de-referenced we might be able to find a universal reference frame or some wild shit.
Being human sucks.
Perhaps designated Time Travel zones that are kept clear year round and only allow jumps of exactly one year?
Yes, but it will not work, because the whole Solar system is traveling with the rotation of our Galaxy with the speed of 251 km/s, or 7,9*10^9 km/year
Ooh, but what if the time machine came from Mars and uses that as its frame of reference?