Thanks mm43, I was not aware of Carlson's analysis. I think the flight path provided by BEA now supercedes these kinds of analyses, as I discuss below.
By 11 June the Bureau d'Enquêtes et d'Analyses (BEA) published a reconstructed flight path for AF447. We must assume that BEA used the best data available to them for this reconstruction, including much that has not been released to the public. In my view this flight path supercedes the results of all prior analyses.
http://www.bea.aero/anglaise/actualite/ ... t.path.jpgThe final point is labeled "1st message" (1er message) and indicates the location of the aircraft at 0210Z when the initial ACARS maintenance message was sent. It is noteworthy that the points are labeled to the second (02:10:00), suggesting that this is a GPS position transmitted by the ACARS system separately from the widely-discussed ACARS maintenance reports. The flight path points suggest these position reports were sent every 10 minutes. When you look closely at the flight path it looks as though it is actual data, with closely spaced points (slower speeds) near Rio as the aircraft climbed to cruise altitude, and then some faster speeds south of NATAL.
On 17 June BEA published a press release that contains useful information:
http://www.bea.aero/anglaise/actualite/ ... 90617.htmlFrom this we learn that:
- AF447 was in cruse at FL350
- The last ACARS position message was at 0210Z
- 24 ACARS maintenance messages were sent between 0210Z and 0214Z
Mention that the "last position message from the airplane was broadcast by the ACARS automatic system at 02h 10 UTC" lends support to the idea that ACARS position reports were sent separately (perhaps at 10 minute intervals) from the ACARS maintenance reports, since otherwise there would have been a position for the 0211Z to 0214Z maintenance messages and the 0210Z position would not have been the last one.
This press release also points to a pdf of a PowerPoint presentation:
http://www.bea.aero/anglaise/actualite/ ... ch.ops.pdfThis presentation contains several maps of the debris field locations between 6 and 10 June. In these maps the 0210Z location is labeled "last known position" (Dernière position connue).
Since BEA plotted these maps on a Google Earth base map it is possible to obtain approximate coordinates for the times that BEA plotted, and I have done this for the period 0120Z to 0210Z. The results are interesting. The BEA 0210Z location for the first ACARS message closely matches the location of the FAB "red airplane" symbol on the SAR map of 6-11-09 that I posted above. Thus, the Brazilian SAR teams were using the same location as the BEA. The approximate location of the 0210Z BEA "last known position" is 2° 58.7'N, 30° 35.8'W
Knowing position and time it is possible to reconstruct distance covered and ground speed for the final minutes of the flight:
0120Z
77.0 nm, 462 kt
0130Z
78.9 nm, 473 kt
0140Z
78.0 nm, 468 kt
0150Z
77.4 nm, 464 kt
0200Z
77.2 nm, 463 kt
0210Z
Variation in the speeds and distances could well be due to small errors in reproducing the BEA flight path positions in Google Earth. The average speed between 0120Z and 0140Z is 468 kt, a close match to Barry Carlson's estimate of 467 kt referenced in mm43's post above, which was derived from the flight plan speed of Mach 0.82. The calculated speed between 0200Z and 0210Z of 463 kt is a reasonable match for the speed reported by FAB of 453 kt (presumably calculated from radar) at 0148Z when AF447 left Brazilian radar coverage:
http://www.fab.mil.br/portal/capa/index.php?mostra=3085The 0214Z location of the last ACARS message reported by Aviation Herald (N3.5777 W30.3744) and attributed to FAB does not seem to have been confirmed elsewhere. If we continue with the analysis above we get:
0200Z
77.2 nm, 463 kt
0210Z
38.2 nm, 573 kt
"0214Z"
The 573 kt speed is impossibly fast - it is about mach 0.98 at the altitude (FL350) and OAT (about -46C) of the flight. (If we assume a 10 kt headwind as calculated by Tim Vasquez, the resulting airspeed of 583 kt approaches mach 1) I think we must now assume that the "0214Z" position is incorrect and was not an ACARS position. The proximity of the "0214Z" position to the location of the first bodies discovered must be a result of the northward drift of the debris field as shown in the 12 june BEA PowerPoint maps.
By 0210Z AF447 had begun to depart from its planned flight path. At that time the cross track error was about 3 nm to the left of course, a turn of about 2.4 degrees (from the 0200Z position).
There has been much discussion of the role that overspeed resulting from erroneous airspeeds from faulty pitot tubes might have played in the crash. If the analysis presented here is correct, there was no meaningful increase in speed between 0120Z and 0210Z when the first of the ACARS maintenance messages was sent. If overspeed was a factor in the crash it must have occurred between 0210Z and 0214Z. The BEA 0210Z location falls well inside the massive storm system illustrated by Tim Vasquez, when AF447 was abeam the large, red "strong" radar reflector in his Figure 12. The BEA location at 0200Z, when the pilots evidently reported strong turbulence, falls just inside the southern limit of the storm system - shortly after AF447 entered it.
-rer47