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Re: Sun squash- was Green Flash and Longitude

From: Gary J. LaPook (no email)
Date: Wed Jan 18 2006 - 03:06:23 EST

  • Next message: Bill: "Re: dip, dip short, distance off with buildings, etc."

    Great post Ken.

    It brought back memories of my flight across the atlantic in a Cessna
    172 in 1978 trying to find Flores in the Azores. I was working for Pete
    Demis, who you also know. No autopilot, shooting stars with an A-10a I
    had purchased from you several years earlier. Level the wings, start
    shooting, straighten out plane back on heading, resume shooting, etc.
    and then interpolating the altitude from all of the pencil marks
    covering half of the disk.

    Have you had any contact with that crazy greek guy recently?
    Gary LaPook

    Ken Gebhart wrote:

    > Gentlemen,
    >
    > The comments on green flash and longitude reminded me of a project I
    > once undertook to establish longitude from estimating the percent
    > squash of the sun due to refraction after rising, or before setting.
    > It all started during a flight I was making in a single-engine Cessna
    > airplane from Honolulu to Wake Is. In 1973 we had no navigation
    > equipment except a radio direction finder which told which way to go,
    > but not when you would get there. Also it could fail. Thus, I always
    > used an aircraft sextant on such trips. Around noon I actually
    > crossed the subpoint of the sun. Sextant read 90 deg. no matter which
    > way I looked. This was handy since I could immediately put a fix on
    > my chart without using the 249 tables. It otherwise took a long time
    > to work out a sight while flying with my knees, not having an
    > autopilot. Later as the sun was beginning to set (this was a 15 hour
    > flight), and I was still a few hundred miles out, I planned to grab a
    > longitude by observing the sunset. All was fine until it did set...
    > on a cloud deck! So without a real horizon I couldn't use the sight.
    > But I remembered that the sun began to show a squash as it approached
    > the clouds. So I began to think about correlating the percent squash
    > with the actual altitude, so I could get around this cloud problem.
    > And I thought it may be of use to people on land too, who had no
    > accurate horizon.
    >
    > For the next several months I took hundreds of photos of the sun as it
    > was rising or setting, noting the time and known geographic position.
    > I projected each photo on the wall of a room, and measured the height
    > and width of the disk, thus getting the amount of squash. Working
    > backwards from the almanac refraction tables, I was able to correlate
    > the percent squash not with just Hs, but directly with Ho. I even
    > developed correction curves for temperature and pressure (including
    > altitude). As it turned out, maximum squash ever observed was only
    > about 17%. I tested this method with my co-workers who while driving
    > to work in the morning would note the squash and the time. We would
    > work the sight out, and to our surprise, they were never more than 3
    > or 4 miles off. For a long time after that, I would note sun squash
    > while driving cross country, and work the sight upon return, with the
    > same apparent accuracy.
    >
    > I had in mind to publish a book on celestial navigation anyway, and
    > the sun squash chapter could be "the hook", that is, some information
    > that had never been published before to give it intrinsic value.
    > There would be an insert with ellipses of 5, 10, and 15 % printed on
    > sun shade material, that could be held up to compare with the actual
    > sun. Trouble was, I could not produce such ellipses of suitable
    > quality for publication. I needed a PC with a desktop publishing
    > program which had not yet been invented. So, the whole project
    > languished in a file cabinet all these years. Now the issue is moot
    > except for the interest some list members may have in knowing about it.
    >
    > Ken
    >
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    >


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