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sailquik said..Macroscien said..I am still pleasently surprised how our GPS accurate are. Let assume following scenario.
We are going 40 ktn.
so 74.08 km/h
or 20.577 m/s !!
so during 1 second we do already 20 meters !!!
Let assume that our GPS has 5 meters precision to locate us on the globe. so for two measurements the possible margin of error could be 10 meters.
Translate it to speed now.
So our speed could be as high as 59ktn or as low as 20 ktn !!!
OK our GPS is running now 10Hz so distance shrink to 2.057 meters during one tick 1/10 of second but location precision remains the same - 5 meters !!
I don't even want to think what error margin could be.
OK lets claim that our GPS has 1 meter accuracy not 5.
So our speed measured 40 ktn may vary now
from 43.887 knots to 36.112 knots
This is the truth and the rest is up smart software and statistics.
The point I am trying to make that our measurements could be as bad as 3 full knots in worst case scenario but we fight here for every 0.001 knots !
BTW I love to be corrected because it mean i learned something new, so be kind and teach me something.
...
I know.
We trust our devices manufactures but the same may apply to Space and rocket science.
It you multiply error and software cleaning procedure to such cosmic distances it is not surprise that
rockets and landers on celestial bodies are crashing more often then success. Small error like ours here mean that you just landed your craft 1 meter below Moon surface successfully.

Well done Macro.

You just very clearly described why it was such a huge improvement when we switched from using positional data to calculate our speeds, to Doppler derived data. We went from a potential error range of knots, to an error range of very small fractions of a Knot.
Positional accuracy is very important for the GPS guidance of lawnmowers and tractors.
We use the Doppler derived speeds which are many orders of magnitude better for measuring velocity. Speed Over Ground (SOG)
I recommend that you get up to speed on speed measurement and start with reading this paper:
nujournal.net/wp-content/uploads/sites/2/2021/02/SDOP4aa1.pdf Thank you

Because I finally realized how our GPS works.
( Correct me if I am wrong)
We have indeed two different devices all in one box. One system is designed to establish our geographical position
and the second is simply speedometer.
Now to work out our current speed we could use both.
1. But the first will employ our primary school knowledge.
We learn our positions , work out distance and divide distance by time.
Done.
2.The second require our high school knowledge, and has nothing to do with our position on the map at all.
We just measure shift in frequency signal from satellites and we could work out our speed perfectly.
It seems that second method is more accurate for our needs.
So first will apply to all basic GPS and second to GPS with Doppler.
Now it would not be Marco post if I could not come with some invention or improvement !
I imagine that in the near future we will be using our GPS mostly at night !!!
Why?!
Because at night we could stream from our satellite not radio signal but laser generated light.
Light of passing satellite at night will be clearly visible to our optical sensors.
( Yep- astronomers already complain on night sky pollution by Elons Starlink satellites that are not even emitting any lights itself)
Due to much higher frequency of light versus radio waves accuracy of our measurements will be now thousands or million times better !
Done !
But Macro possibly will not last so long to see his invention implemented for our watersports GPS and I don't like personally to sail at night