please empty your brain below

(errors excepted)
The Indian ocean is in the wrong place.

dg writes: Fixed, thanks.
A couple of years ago I moved from Western to Eastern hemispheres, which is a far more dramatic way of putting it than saying I moved half a mile up the road.
I’ve spent about a third of my life in the Eastern hemisphere so far, and about 99.8% in the Northern one.
Manston Airport on Thanet is in the eastern hemisphere. It’s been closed for several years, but has just got government permission to reopen under new ownership.
Blackheath tea hut was destroyed in a car crash in January, they hoped to rebuild it, but it may end up as another casualty of C-19.
Copiously researched and fascinating and fun!

Now pedantry time: if by "professional football club in the Eastern Meridian within Greater London" you mean a football team comprising full-time professional football players, there's a second one, although it's not at present in the English Football League, but in the next league down (which has been almost entirely professional too for the past few years): Dagenham and Redbridge.

dg writes: I meant Football League clubs, but recognised that was also pedantically wrong.
I'm pretty surprised by how big the discrepancy is between the two definitions of meridian and I'm annoyed that the explanation on Wikipedia made absolutely no sense to me
Very interesting, thanks.

Having lived almost alternately in the western hemisphere, then the eastern hemisphere, it now appears I am back in the western.

But I wouldn't hve thought so until I looked it up - it's only because the island is tilted.
The following only just scrape into two hemispheres: Togo, Essex, West Sussex

Kent, Enfield and Redbridge come very close.
I used to think my house straddled the meridian so that my back garden was in the western hemisphere and my front in the east. Well it was if you drew a line through the nearest two meridian markers that were put down around Olympics time. Now I discover my front garden is actually in that "ambiguous zone" you describe, so in reality I'm a Westerner.
Although they have some degree of autonomy, the Faroes and Greenland are part of Denmark, which is therefore another country that exists in both hemispheres.
A bit pedantic: division between the western hemisphere and the eastern hemisphere can be based on 20°W and 160°E in some cases.
The only part of Stratford station to nudge into the Eastern Hemisphere is the far end of platform 10a, where no TfL services stop, so maybe it doesn't really count.
I used to get out of bed in the west and go to the bathroom in the east. The dining room table was in both; the meridian line was depicted in the title deeds of the property. Now it would seem most of the place is in the grey area. Depends on what's in a line on maps or electronic signals bouncing around satellites.
The Netherlands arguably is in both hemispheres.

(Both the Kingdom of the Netherlands, but also the Netherlands proper).
Fascinating, what an excellent start to my Saturday morning. I really appreciate your research. 😃👍
I can think of two more professional (at least according to Wikipedia) football clubs in the Eastern Hemisphere part of London: Bromley and Welling United.

dg writes: Updated to 'League clubs', even though that's not right either.

While I was thinking about this, I realised that there are two Premier League clubs that have switched hemispheres: West Ham and Arsenal (both from East to West). I don't there can be too many clubs out there that can say that!
Fascinating and esoteric as ever!

An addition to the countries in both hemispheres: the Chatham Islands and the Kermadec Islands, the easternmost bits of New Zealand, are in the western hemisphere, the rest of the country in the eastern (but the whole country is west of the International Date Line).
What about Meridian Water?

dg writes: 2.1 miles west of the meridian.
If you count N Ireland, then there are UK roads numbered A26 and A28 in both hemispheres.
The Wikipedia page on the IERS Reference Meridian is opaque, but it does refer to a technical discussion on the change of the prime meridian here: Malys, S., Seago, J.H., Pavlis, N.K. et al. Why the Greenwich meridian moved. J Geod 89, 1263–1272 (2015).

If I am reading this right the change was necessary to ensure that the meridian passes through the centre of the earth but also that astronomical time continues without interruption after a change of definition to use GPS satellites instead of measuring the earth and the stars.

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