I put on my website flight navigation manuals that describe the computation of the "'point of no return"' which is how to evaluate the possibility of a return to New Britain along with a description of the process at:
https://sites.google.com/site/fredienoonan/discussions/amelia-earhart-s-point-of-no-returnGo to my website for a complete description where you will find enough information for you to do the calculation for yourself, you don't have to take my word for it.
Here is just an excerpt:
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"'We have now looked at one simple example of the “point of no return” so this would be a good point to do some
more computations. There is also a theory that Earhart made it back to the island of New Britain and a point of no
return calculation may help in an analysis of this theory.
The PNR is a simple case of the “radius of action” calculation. These calculations determine how
far away you can fly and still make it back within the endurance of the aircraft. If you go beyond
the PNR or the “radius of action” then you can’t make it back to the departure airport, that’s why
it is called the “point of no return.”
Navy pilots flying off of aircraft carriers have to do a more complicated radius of action
calculation because if they just make it back to the point where they took off from, there won’t be
an airport there, the carrier has moved on. It should be obvious that if the carrier is steaming in
the opposite direction from the plane's outbound course that the plane will have to turn around
sooner to go back and chase after the carrier.
The way this “radius of action from a moving base” calculation is done is by drawing a vector
diagram including the normal wind vector and then adding a vector to represent the speed and
course of the carrier. Then the radius of action (PNR) calculation is done with the combined
effect of these two vectors. Conceptually, the calculation is done based on the wind that would
have been measured by the moving carrier.
We can use the “radius of action from a moving base” computation to look at the case of the
plane departing from Lae and returning to New Britain. We do this by using a “fictitious aircraft
carrier.” The east end of New Britain is 344 NM east of Lae on the course line to Howland. If a
fictitious carrier departed Lae at the same time as Earhart, steaming towards Howland, it would
have arrived at the east end of New Britain at the end of 20:13 (the proven endurance of the
plane) by steaming at 17 knots. Fortunately, the required vector diagram is as simple as it could
be since the plane and the ship were heading directly into the 23 knot headwind measured by
Noonan. So the fictitious carrier would have measured a direct headwind of 40 knots. We use
this 40 knot value instead of the true wind of 23 knots to do the calculation for the PNR for a
return to New Britain.
Doing the calculation:
TAS = 130 K (2 x TAS = 260 K)
Speed of relative movement out = 90 knots.
(The plane is moving away from the fictitious carrier at only 90 knots because the carrier is
chasing after the plane.)
Speed of relative movement return = 170 knots (130 K + 40 K)
PNR time = (20:13 x 170 K)/260
PNR time = 13:13
Multiplied by the speed of relative movement out of 90 K places the plane 1190 NM from the
fictitious carrier. But since the real ground speed was 107 K it would be 1414 NM from Lae.
This is 141 NM further and 1:19 later than in our first computation of PNR for a return to Lae.
To check our math we can subtract this 13:13 from the endurance of 20:13 giving us 7:00 hours
to return to New Britain. Seven hours multiplied by the actual return ground speed of 153 knots
means the plane will travel 1071 NM back towards Lae. Since it would be starting 1414 NM
from Lae it will end up 344 NM east of Lae at the eastern end of New Britain, just as we expected.
Doing the same computation using an endurance of 24 hours we use a slightly slower speed for
the fictitious carrier since it now has 24 hours to travel the 344 NM resulting in a fictitious speed
of 14.3 K and a relative wind of 37.3 K. The PNR for New Britain then occurs at 15:26 Z, 1653
NM from Lae. This is 1:19 later and 142 NM further from Lae than the similar calculation for the
return to Lae. So even using a 24 hour endurance and a planned return to New Britain, the
decision to turn around would have had to have been made prior to passing the Gilberts. Since
we know the plane went past this PNR and proceeded for at least 4:47 further, to the vicinity of
Howland, it would not have been possible for the plane to make it back to New Britain even with
a 24 hour endurance.
...
The second thing we can determine from these calculations is that they also could not return to New Britain from the vicinity of Howland thus making that theory very unlikely.
I have attached two charts depicting the PNRs I discussed in the two prior posts.
A and B are for a return to Lae and C and D are for return to New Britain.
PNR "A" is the first case, 20:13 fuel on board, time at PNR 1154 Z, 1273 NM from Lae and 949 NM short of Howland.
PNR "B" is 24 hours of fuel on board, time at PNR 1407 Z, 1511 NM from Lae and 711 NM short of Howland.
PNR "C" is 20:13 hours of fuel on board, time at PNR 1313 Z, 1414 NM from Lae and 809 NM short of Howland.
PNR "D" is 24 hours of fuel on board, time at PNR 1526 Z, 1653 NM from Lae and 569 NM short of Howland and only 50 NM short of the Gilberts."
See charts at:
PNR chart 1PNR chart 2
gl
"...it would have arrived at the east end of New Britain at the end of 20:13 (the proven endurance of the
I admire much of your work into this event, and respect your contribution, but you are always tainted by the dogma of the 'experts' advocating the mainstream crash-and-sank hypothesis.
NO ONE knows how AE flew that plane, we can only assume and presume, and Report 487 and AE herself give glimpses of an airplane capable of longer endurance/range than the dogmatic view of mainstream crash-and-sank YMMV, but it is NOT proven either way. The the appeal to authority -'most experts say that...' is a logical fallacy, and it is disingenuous to state as fact, something that is NOT a fact.
A principle or set of principles laid down by an authority as incontrovertibly true:"
Further, as we have no real idea of range, endurance and capabilities of both pilot and plane, we CANNOT know what the PNR was, can we?
I have no idea where NR16020 is, and I will never personally find it, but neither have the 'experts' after nearly 80 years of trying, maybe they are just wrong -but we know that no one has a bigger ego than an 'expert', so that circular logic will just make the circles they walk in smaller
I think NR16020 is probably lost to mankind forever...but I do not know...and really no one knows. IF it is ever found, a lot of egos will be bruised...