All my childhood i was scared about being stuck in a building that was there back then. If i knew that was my smallest problem i would have scratched that idea long ago.

Well, it depends. I mean the original story "The Time machine" I think very deliberately had a machine that was on the ground. I guess if you're "travelling" through time then you could follow your local location in the same way you do when it is moving forward at the normal rate.

The argument is more true for time machines that instantly move through time, like back to the future. Since yes it would need some way to account for planetary movement.

I get that people just refer to them as time machines, but they're actually space-time vehicles.

Before your first journey, you calibrate it to a reference point (mine already had Earth mapped out, with a gravity well depth monitor as a fail-safe) so that you lock your target coordinates in space and time.

But no, it's not teleportation. You're still just travelling to your destination, you just get there as quick as you want and without the need to be disintegrated.

You're obviously the main character in this simulation so it's much more likely that all other coordinates are derived from your position in the simulation engine.

Forget the orbit... remember the song...

https://genius.com/Monty-python-the-galaxy-song-lyrics

"Just remember that you're standing on a planet that's evolving
And revolving
at 900 miles an hour.
It's orbiting at 19 miles a second,
so it's reckoned,
The sun that is the source of all our power.
Now the sun, and you and me,
and all the stars that we can see,
Are moving at a million miles a day,
In the outer spiral arm,
at 40,000 miles an hour,
Of a galaxy we call the Milky Way."

Yep, and not to mention the position of our solar system in the Milky Way or our galaxy in the local cluster. In fact, without a specific reference frame you would have to make corrections very rapidly for even a tiny jump in time.