For the logically impaired ... when my objection is that you can't verify it is the same machine and it is more probable to be two or more machines passing as trains would a station, don't reply with
No, I'm watching in person and basing my argument on the empirical observations ...
This implies you understood my objection and have watched the thing travel right round the earth yourself.
No, I did not see it go all the way around the Earth.
I realised that. So how do you know it is the same machine?
However, lots of people watched it the same night that I did.
Watched it, or watched them?
I wasn't the only one, worldwide, watching it.
Or them.
Nobody saw it do anything other than follow a path which would take it around the globe, exactly on schedule, always in one direction, at consistent speed, in line with its predicted motion.
Nor would people in the stations. They'd all just see the same type of train. Are you and your ISS watching bretheren coordinated into a line and covering places like the middle of the ocean where it would be obvious. And how do you know when you are told the vehicle is in the shadow of the earth, that they didn't just turn the lights off, and do the swap at that very obvious point, when no one is expecting to see it?
No, I don't have the names of everybody who did this on that night, but the probability of me being the only ISS observer worldwide at that time is so small as to be ridiculous.
How many people were watching it whilst it is in the 'shadow of the earth'?
As the previous poster (now deleted) said, has anyone seen the Sun go around the world at a distance of (say) 3000 miles up, all the way round? Shoulda kept a screen print.
It would be very hard to land and relaunch a celestial body every 12 hours. A machine, not so much.