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    Re: Direct methods
    From: Gary LaPook
    Date: 2007 Nov 03, 23:13 -0700

    For those of you with the ION cd you will find several papers
    discussing various ways to compute the fix by direct computation.
    Look at items 5, 34, 35, 46, 47, 59, 64, 66, 80, 83, and 246. Van
    Allen,s paper is number 5.
    Here is a link to the ION table of contents.
    On Oct 31, 2:51 pm, d walden  wrote:
    > It is of course possible, as has been pointed out, to calculate the latitude 
    and longitude of the points of intersection of two circles of position 
    directly with neither an estimated nor an assumed position.  Nor in fact are 
    altitudes and intercepts or any plotting needed.  The intersection of cones 
    method, described by Frank in the discussion of latitude by lunars, and shown 
    in a previously posted FORTRAN and Maxima example can be used.  A few minor 
    changes to the programs posted are needed.
    >   The problem is, in fact, slightly easier.  It can be done with 
    intersecting planes.  The attached little spread sheet is an example of how.  
    One enters with the altitude, declination, and GHA of two bodies.  Out come 
    the latitudes and longitudes of the two intersection points.  If you have 
    three bodies, pick a different pair, and two of the points should wind up 
    quite close.  There you are.
    >   Seems to be working for me, but no guarantees.
    >  __________________________________________________
    > Do You Yahoo!?
    > Tired of spam?  Yahoo! Mail has the best spam protection aroundhttp://mail.yahoo.com
    >  vanAllenFIX#2.xls
    > 22KDownload
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