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As the standard approach uses a linear approximation I have an idea if
you start from any guess of the position and iterate this is
equivalent to Newton's method for solving non-linear equations by
successive linearization. Presumably there is a paper somewhere that
says how close to the true position you have to be for convergence?

Bill

On Mon, 20 Jan 2020 at 19:03, Dustin Baenen  wrote:
>
> http://fer3.com/arc/m2.aspx/Can-I-Navigate-Without-an-Assumed-Position-Baenen-aug-2017-g39877
>
> Here is a link from the 2017 thread mentioned earlier.  There is alot of 
good info in it.  My amateur advice would be to start with your best guess of 
a D/R (Last known fix, or just make one up like Moitessier did) and do 
several iterations of your sight reduction using the resulting fix as a new 
assumed position.  Within a few iterations the LOP's will stabalize around 
your true position.
>
> db
>
> 44.30N, 88.00W
>
> 

   

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