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> luckily you get the list of currently connected GPS sats

How do you get this list?

GPS really is amazing. It's hard to believe it works at all.

My favorite part about GPS is that it only works because we understand relativity, proving Einstein right.

It would work without an understanding of relativity, but the accuracy would drop by about a meter. https://physics.stackexchange.com/a/128951

Personally, I use GPS Toolbox. No idea about iPhones though.