I'm proposing to do the Eratosthenes observations from several latitudes at the same time.
Basically, this:
I would like to try this on Dec 21, solstice, at solar noon. (Solar noon isn't 12:00 with or without DST.)
https://gml.noaa.gov/grad/solcalc/If you're willing to try, what you need to do is take a measurement of
- the angle the sun makes with "level"
- or, equivalently the angle a shadow makes
If you choose to take the sun angle, you should use a theodolite; there are theodolite apps, though I haven't looked at free theodolite apps yet
If you choose to take a shadow measurement, please verify that the item is vertical (with a plumb line or household leve) and report both its height and the shadow length.
Post in this thread with that information, and the latitude at which you took the observation.