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    Re: Today's octant sights
    From: Peter Hakel
    Date: 2010 Mar 17, 18:34 -0700
    Thank you for this data set, Frank.  I dug up my old rapid-fire-fix Fortran program, finally addressed a little detail in it and, lo and behold, my "error bars" became much smaller than before.  As I suspected last year, the results are indeed better than my "old" standard deviations would allow.  For your data set I calculate:

    Latitude:       N  41 deg  57.4'   +/- 11.8'
    Longitude:   W  87 deg  43.1'   +/- 16.0'

    This result differs from your actual location by S 0.2' in latitude, and W 5.0' in longitude.

    @Antoine:
    The source code and input file are attached.  The program calculates the crossings of all possible LOP pairs.  Then it calculates the average latitude and longitude, and the associated standard deviations.

    Even in this case the "error bars" still appear to be unnecessarily large.  Suggestions of a more appropriate statistical procedure would be welcome.


    Peter Hakel



    From: Frank Reed <FrankReed@HistoricalAtlas.com>
    To: NavList@fer3.com
    Sent: Wed, March 17, 2010 2:32:01 PM
    Subject: [NavList] Today's octant sights

    Here are the Sun sights I took with an old ebony octant c.1840 this morning on the shore of Lake Michigan:

    10:29:00 35-00
    10:31:35 35-23
    10:33:31 35-38
    10:35:39 35-52
    10:37:49 36-12
    10:39:39 36-27
    10:41:44 36-44
    10:43:11 36-58
    10:45:39 37-13
    10:47:23 37-29

    Times are CDT. The "watch" was 10 seconds slow, so add 05:00:10 to get to GMT. These are all Sun LL (35-00 means 35 deg 00'). Index correction was 0 since those old octants were supposed to be zeroed out every time. Height of eye was 16 feet above Lake Michigan, weather conditions near standard, and the actual location was 41d 57.6N, 87d 38.1W. The horizon was a little vague. By my reductions, the mean error in the sights is about 1 minute of arc and the standard deviation is about 1 minute of arc. Pretty good considering that this is a normal octant with no telescope and a discolored vernier that I really have to squint at to read.

    "Rapid-fire" fix anyone?

    -FER

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