...Contrary to the "don't know how far north or south they are" argument, Noonan certainly did, just by dead reckoning... ...the maximum expected D.R. error is 110 NM (128 SM) so they would not have proceeded more than 110 NM south from the D.R. position of Howland before ...going back to the north, searching for Howland.
That explains one constraint nicely, thanks. It also underscores why Nauru is important in your thinking - it could narrow the error by closing the DR distance.
A N-S determination by celestial (sun) would be limited to a shot while at meridian - too late to do the flight much good, is that correct? (
See "American Air Navigator", Mattingly (1944), page 158 - your site.) That emphasizes need for DR as to course. <Ah - I came back to correct something I deleted accidentally and thought of 'shoot the moon' further down - never mind this point.>
...it is much more likely that they got a fix around 1623 Z, or even later, making the maximum D.R. error only 46 NM, see Landfall procedure navigation to Howland Island.
1623Z or later - I'll buy that. Per your article "we can assume Noonan was busy right up until the time of civil twight..." - I agree that fits "NEVER QUIT NAVIGATING". It also gave FN about an hour and 15 or so minutes before civil twighlight (where the flight should have been at that time).
AE's call at 1623Z reportedly included "partly cloudy", so a shot may have been delayed (may fit "or later"); at 1742Z AE reports "200 miles out" - just when civil twightlight should have arrived at her position - FN may have just gotten a last shot in to establish that distance. If he had multiple bodies in view he also could have established other lines, yes? That would help fix N-S at least at the point of having such shots.
... Noonan knew how far they had flown since the last fix and would have allowed the appropriate offset for the intercept point on the sunline LOP. So, even if it was just dead reckoning all the way from the Ontario, then Noonan would have aimed 110 NM, at least, to the north-northwest of Howland which would ensure that they did not end up south of Howland at the point of intercept.[/i] They would then fly 220 NM south-southeast along the LOP looking for Howland so, worst case, if they missed the island and if they had been at the maximum D.R. error to the right point of interception, they would still not proceed more than 110 NM further to the south-southeast before turning back to the north to execute a search pattern.
Good plan, but why so certain NNW and not bias to SSE intercept? A SSE intercept would be a bit further (LOP tangent), but it would put the error toward back-up landfall - Baker for one, also Phoenix group.
I realize we're probably going to disagree, but your logic on this point runs counter to what
Friedell (CO - Colorado) was being advised of, and believed was likely -
"...first despatch cast definite doubt as to the location as being 281 miles north of Howland... the region to the north of Howland... was entirely water. ...other despatch referred to the opinion of the technical aides connected with the flight, that the plane would be found in the original line, which would indicate a position through Howland Island and the Phoenix Group... These reports bore out the original assumption of the Commanding Officer, which was based on all information then available, that the logical quadrant for the position of the plane was the southeast quadrant...
...Considering the question as to what Mr. Noonan did do, it must be considered which way he would steer on the line. To the northwest of Howland was wide stretches of ocean, to the southeast were spots of land. To a seaman in low visibility the thing to do when in doubt of own position would be to head for the open sea. The land would be the place to get away from. To the Air Navigator with position in doubt and flying a land plane it is apparent that the thing to do would be to steer down the line towards the most probable land..."So, at least one case was made at the time for SSE of Howland; if FN was doing as Friedell and others suspected, a SSE bias makes more sense to support landfall, failing Howland for any reason.
Consider a 're-aim' -
...110 NM, at least, to the north-northwest SSE of Howland [/b] which would ensure that they did not end up south north of Howland at the point of intercept.[/i] They would then fly 220 NM south-southeast NNE along the LOP looking for Howland so, worst case, if they missed the island and if they had been at the maximum D.R. error to the right point of interception, they would still not proceed more than 110 NM further to the south-southeast NNE before turning back to the north to execute a search pattern.
- Strikethroughs and color indicate my changes to your quote.
By the way, I share Friedell's notion in part because as you've said earlier today "Navigators are expected to use all information available to them for safely conducting the flight", and because other seasoned people, such as Friedell, understood it. The Phoenix group would have been a known thing, as would Baker, to a well prepared navigator doing as you've suggested he should.
The problem is and what AE did say ('on line' - never 'in box'), I am moved toward "LOP" as the 'search pattern' and away from
box followed by LOP.
On your site, "American Air Navigator", Mattingly - 1944 - pages 157 - 158 discuss both the box search and LOP approaches to landfall. (Single Line of Position Landfall Position) - the excerpt you provide there starts out by covering a box search procedure (example: Wake Island), and then moves on to a LOP landfall procedure (which happens to use a Canton Island example, of all things...) - the latter exercise fitting at least the "on the line" LOP call.
[/b] But what if... a much larger error in the DR than expected, wouldn't they have ended up much further south? ...that brings in Baker, 38 NM south of Howland. In order to miss seeing both Howland and Baker, and with 20 NM visibility, they would have had to have been an additional 58 NM off to the right of the DR course in order to pass so far south of Baker so as to not be able to see it.
Pretty strong assumptions about being able to spot those two islands. Whatever you believe, many see Howland as a challenge - and Baker was probably no better. Maybe could be seen for 20 miles, maybe not. I don't doubt that conditions generally weren't bad - just don't believe that it would be so easy to spot those two places because of their physical character, for one thing.
This would be a total DR error of 168 NM, 15% of the distance flown from Ontario and 26% of the distance flown from a 1623 Z fix. It is highly unlikely to have such large DR errors. Based on the statistics of navigation, (appendix Q in the 1977 edition of the American Practical Navigator) there is only one chance in 370 of being 15% off course and only one chance in ten-million of being 26% off course! And, as is likely, if Noonan added an additional safety margin to his offset then missing both Howland and Baker is an even more remote possibility.
Agree, but miss somehow he did.
Now, the second point. If the DR accuracy doesn't convince you then let's shoot the moon. I have pointed out many times that the moon was positioned to provide an LOP that would tell Noonan whether he was north or south of Howland and so would also prevent flying down to Gardner.
Well, it wouldn't "prevent flying down to Gardner", Gary - but it should have allowed him to find Howland - which he didn't. He could still fly "down to Gardner" after failing to find Howland, and apparently Baker.Looking at 1912 Z, the height of the moon was 74° 26' at Howland and its azimuth was 328° which produced an LOP running 058° -238° T. (We know that Noonan could take observations at least as high as 75° since he did so on the leg to Hawaii.) Using this LOP, Noonan would have known how far he was north or south along the 157° -337° sun line LOP. I have attached a chart showing a fix using the sun and the moon at 1912 Z. (I am not saying that they were at this fix position, this is just an example of a fix that Noonan could have obtained at 1912 Z.) So, looking at the moon LOP running from the lower left to the upper right, you can see that Noonan could have determined how far they were south of Howland and so would have let then know that they had to turn around to go back to the north to search for Howland.
Excellent. So any of at least 3 things may have happened:
- This shot was not available for some reason we can't understand
- Something failed in the process of applying the fix, or
- The navigation worked very much as you believe and the flight came tragically close, but through a combination of error (celestial ain't perfect - and DR's less so) and visibility (due to distance and / or local conditions), neither Howland nor Baker were spotted.
The first may be a tough-luck possibility,
The second is unlikely IMHO, and
You are very convincing as to the possibility of the third, excepting that we'll probably disagree on ability to see the islands of Howland and Baker.
The yellow moon LOP was calculated from an observation of the moon of 73° 22' placing the LOP, and the observer (Noonan) 64 NM south-southeast of Howland. The white sunline LOP was calculated from an observation of 17° 13' placing this LOP and Noonan 109 NM west-southwest of Howland. From the plotted example fix it is 153 NM on a course of 032° T to Howland. The weather conditions south of Howland were conducive to celestial observation of both the sun and the moon.
So they may have come very close to Howland, and Baker for that matter - but seem to have spotted neither. What's to prevent the flight from bugging out for Gardner down the line of position after that 1913Z call? It appears to me that contrary to where we were on the MC analysis a couple of days ago, you've gotten this flight right back on top of Howland.
How far west of the LOP is Gardner (Niku) - about 15 miles? Doesn't that leave Gardner within scope on the other end of a 300 mile DR course? I don't see the problem with that.
I do see a problem with spotting the cow patty islands of Howland and Baker; far less so with bright, blue lagooned / wide fringing reefed Gardner with her 90 foot Buka forests on the necklace. Just IMHO - YMMV.

EXCELLENT exercise too Gary - I'm fascinated by all you've shared.
LTM -