How precise are these coordinates?

I do a lot of photo identification on Vintageaerial.com. When I pin the location of a photo I describe the location in simple terms like, “north side of Cecil St just west of Adams Rd.” Occasionally I will use an actual address but Google addresses are not always reliable especially in rural areas. Other VA users are fond of including the coordinates. One particular user gives an insanely precise set of longitude and latitude, like

41.644431067887815, -81.16733213096677

Fer chissakes Google Maps only lists coordinates to 6 decimal places. What precision is this guy claiming? And how would you get them?

He’s “getting” that precision from his ass if that is what he truly claims, otherwise it just looks like he printed out double-precision floating point numbers, so it could be a user-interface bug.

You only need 5 digits (after the decimal) for about 1-meter precision. He’s claiming sub-nanometer precision there…

It could be the output of a conversion from another co-ordinate system (or another lat-long format such as ddd mm.mmm or ddd mm ss). They enter a set of co-ordinates with (say) 7 sig figs but the interface calculates and outputs the result with dozens of sig figs, which the person copies and pastes.

He’s giving the latitude in degrees to 15 digits after the decimal point. One degree of latitude is about 70 miles. 10-15 degrees of latitude is 0.11 nanometers, about the diameter of a hydrogen atom.

The geodetic precision at six decimal places is approximately 0.11 meters (4.3 inches) in latitude, and about 0.08 meters (3.2 inches) in latitude at that azimuth. While it is possible to get more precise measurements using very sophisticated methods, these are really only used to measure tectonic movement and in suborbital ballistic trajectories. This is obviously not necessary for locating a landmark and is likely just the result of mindlessly copying GPS coordinates from a receiver that doesn’t truncate or making a conversion without carrying through the correct significant figures.

Stranger

Dang it. Now we’ll never know his precise momentum.

Some of the archery flight shooting enthusiasts use coordinates to within 1". Most of us don’t trust the accuracy quite yet.

I use licensed positioning assist systems and only get a usually guaranteed 10 cm accuracy. But if I let them survey in for some time it gets more precise than that. Using RTK can let the rover get very precise position as well.
But the numbers sited in the post are as others rightly mentioned, software induced fantasy.

You win the thread by a mile. Correction … 1.000000000000000000001 miles.

One-centimeter accuracy (about a half an inch) is standard in the cartography and land surveying professions.

I should have been more specific, we do trust the surveying equipment, we don’t yet trust the cell phone measuring devices.

The other issue that arises at this scale is what sort of point is he marking?

Surveyors use very clearly designed trig station and target marks so that you know the measurement point is at the exact and unambiguous intersection point. If you are, for example describing the location of a road, its going to be 3 metres wide so your last 10 digits imply accuracy that simply isn’t there.

Similarly, whenever a pirate tells me that they have a map where X be marking the treasure spot, I am always careful to correct them that the X on their map is usually covering some hundreds of square metres, so not just marking their spot, but lots of superfluous ground, and that they should obtain the services of a registered land surveyor. Its money well spent in that situation.

And since the pirates don’t want the land surveyor to come back later with his knowledge of the exact location, and since furthermore dead men tell no tales, the payment part of the transaction becomes completely optional. Pirating is such fun!

Oh, yeah, that happens to me all the time, too.