Neither the +-300 Km are correct nor the +-300m
The BTO's are a sum of other values including the unknown constant of processing time.The processing time is a computer value that can be measured ANY time (even today) and be added to the other values.If that value is to the microsecond and the other values are to the millisecond the end result will be to the microsecond. This doesn't add to the accuracy required.
So we have 2 possibilities here
a)All values were actually measured to the microsecond
b)The microsecond "accuracy" just came out because the computer processing time was to the microsecond.
If A is correct
--> then we have to look at known measurements.The best ones would be those at pre -take off. We notice there is a fluctuation in readings from 14780 to 14920 microsecs. that's a total of 140 microseconds which corresponds to 42Km or +-21Km
This error comes just from false/fluctuated readings, other errors like those due to temperature, humidity etc might have influenced the readings after take off to make their +- range bigger. (how much bigger I don't know)
if B is correct
--> then the +-300Km is correct.
For the sake of discussion we have to accept that A is correct.Otherwise the whole thing would be total junk.Let's continue:
What concerns me more is the Frequency offset.
Again if we take the pre take off measurements we have readings ranging from 84-90Hz. And that's when the plane was not even moving!
This gives an additional 9.3% error in DIRECTION OF MOVEMENT or a +-4.6%. This translates to +-40 Km in position from one handshake to the other. And unfortunately in this case the error is cumulative because they consider the position established at ping 4 to estimate the position at ping 5 and so on. Therefore from ping 4 to ping 7 we have another +-160Km cumulative error.
So the total error would be +-181km. Fortunately this error is not distributed evenly. Mathematicians could of calculate the odds, and could come up with workable results. They could for example estimate there is a 50% possibility the plane would be within say +- 40Km away from estimated position and only 1% possibility to actually be at the limit of +- 181Km away from the estimated position.
That much concerning the accuracies.
Just because i ve spent some time looking at those data you might be interested to know the following info:
I got totally confused as to which one was actually the 7th ping. If you consider the data at pre take off there have been at least 10 communications...
Anyway looking back at the BFOs diagrams, ping 4 seems to have been defined as the one that occurred exactly 4 hours after take off at 20:41. (Take off was at 16:41)
From there on we had one partial handshake at 00:19 (let's call it ping 8 who's data in my opinion just constitute false readings) and another Ping a few seconds later which they called "last transmission from aircraft terminal" let's call it ping 9 with even more obvious false readings.
Total flight time upto ping 7 was 7 hours 29 minutes, and if we consider the other 2 pings it was 7 hours 38 minutes
Just out of curiosity I punched the numbers in and made a preliminary graph (assuming 0% error in data) of the distances from satellite to the plane.The graph could be used to check Inmarsats arcs.