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    Re: HO 211 with Sadler method
    From: Robert VanderPol II
    Date: 2016 Jul 25, 22:17 -0700

    PaulH;

    I went back and looked at all the stats you've given over the last 6 weeks or so trying to tease out the best compromise between accuracy and usability.

    The givens seem to be:

    0.5o tabulation,

    Max Dec 75o

    Max Lat 70o

    Decimal point from 54o                                                                                                                                                                                                      

    Errors that would be reasonable to me were obtained by using mostly No-Interpolation, some Interpolation and a bit of Sadler.  The stats I found were:           

                                                RMS Alt       Error >0.5'           Max Error        Remarks                        Posted                                                           

    t<82o or t>98o                     ?                  4%                        2.9'                  No interpolation             15-Jun   

    82<t<87 or 93<t<98                                                                                     Interpolation                                                                                        

    87<t<93                               0.4              12%                       8.5'                  Sadler                            18-Jul                                                             

                                                     

                                                                                                                                                                                                                                                         

    In general :                                                                                                                                                                                                                               

    About 0.2% azimuths greater than 0.5o in error with Max Az error ~ 2o                        

    The value I would think most important would be max error.  Yes, one would like to keep RMS and %>0.5’ as low as possible, but the RMS errors seem to be similar to or better than what one can practically expect from on the water CelNav.   Given that I would be most interested in how badly I can get burned no matter how unlikely and use this as a basis for making decisions about how much to trust my results when making navigation decisions.

     

    It seems to me that the way to pick where one converts from using Interpolation to using Sadler is to calc the stats for 1o intervals and compare when the one method becomes less advantageous than the other.  

    So for the interval 86<t<87 what are the stats for both Interpolation and Sadler? And 85<t<86?  And 87<t<88?

     

    Or focusing just on the Max Error value that I prefer what are the Max Errors for Sadler and for Interpolation for each degree interval from 80o-90o?

    With that I could create a graph and pick the point where they cross.

     

    For deciding when to switch from NoInterpolation to Interpolation I would expect the interpolation to always give a better result (sometimes much better, sometimes slightly better) that is dependant on the situation one is in.  Offshore no nearby hazards, don’t bother to interpolate.  Inshore you go with Interpolation.  The decision of when to change methods strikes me as somewhat dependant on the user’s risk tolerance so a comparative graph would allow a user to make their own educated decision.  To that end what are the Max Errors for Interpolated and Non-Interpolated 0o-80o for 1o intervals?

     

    Am I barking up the wrong tree focusing on Max Error?

    Am I asking for more analysis than you have time for?

    Bob II

       
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