This fact alone means that any time traveler is most likely to arrive in the middle of empty space.
This fact alone means that any time traveler is most likely to arrive in the middle of empty space.
This is a misconception that bugs me. The problem isn't that the Earth isn't fixed in space, it's that there's no such thing as a fixed point in space. Position is only defined relative to other objects. If you're going to use time travel in a story or something then it has to use something like an anchor object to determine destination. I.e. the relative location of the traveler and the anchor is replicated from the future to the past.
In reality I'd bet neither are realistic, but that's what makes the stories interesting.
I am saying this trajectory calculation relative to current coordinates is impossible. Even modern satellites with super precise instruments still need regular ongoing “adjustments.” Time travel requires many order of magnitude more precision than satellite orbital maintenance.
The logistical impacts from that would yield plenty of storytelling material: If you want to travel back in time, you need some ancient cellar that has been undisturbed since the target timeframe. If you want to skip forward, you need to establish that cellar, and round trips are limited by the space available.
Of course the idea that your point of origin must be fixed from time A to time Z if you’re willing to allow for time travel is itself flawed. If you could somehow move an object to an arbitrary time you could move them to an arbitrary point in space, and your ability to calculate may be significantly greater on the grounds that you’d have more advanced technology than us. It’s all scifi woo though until someone actually time travels.
You’re very likely to travel into an undefined void even if you map out and calibrate the whole system.