I'm working on a fiction story, and have come a cross a problem that I can't solve.
Ofcourse since this is a fiction story so could I just make something up, but I want as much as possible to have root in the real world.
I gonna use the math to expain how a kind of a teleporter works. Its has a limit on a hole secound between each teleporting and it also circles around the earth with one circle per 24 hour.
Based on that, I tried this calulation:
The circumference (length) of the Earth's equator (2πr) is 40,075,035.535 km, as defined by the IAU (International Astronomical Union) in 1976.
40,075,035.535 km / 24 to get in hour's / 360 to get in secound's = 4,638.3 km per secound
For the sake of explaining, lets say 13:45:21 each day teleports you to New York.
Becouse of the limit of the teleporter so would it means that if the operator misses the window, so would you have to land a minimum of 4,638 km from New York or have to wait 24 hour's.
And that would hardly make it usefull.
So my main problem is that I need some way to explain a variasion in speed, like its as low as 300 m some places and like 40,000 km some places.
And since the story will be all over the earth, so would I have to make shore the math applyes to the hole world or redo the math to fit different places.
It would also have to present it in such a way so that it makes sense to who ever is reading it.
Anyone who can give me some help?