# NavList:

## A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding

**Re: The Darn Old Cocked Hat - the sequel 1**

**From:**Brad Morris

**Date:**2013 Mar 14, 16:35 -0700

Hello Hanno

Since it is clear that we seem not to be communicating, I will try to explain in images. Please take this a constructive criticism, okay?

1) Consult 7500RandomFixes. I permitted +/-1.5 miles in both latitude and longitude using a UNIFORM RANDOM distribution.

2) Consult InstancesPerAnnulus. I set up concentric series of rings. Each annulus increments by 0.2 miles. We count the number of instances in each annulus and plot. This shows what you say, that you cannot find the true location because the cases in the smallest annulus are very low.

3) Consult AreaOfEachAnnulus. We must consider the area of each annulus, such that we can determine the instances per unit area. This diagram shows that each annulus has more area than the inner previous one.

4) Consult InstancesPerUnitAreaOfAnnulus. Here we divide the number of cases per annulus by the area of each annulus, to determine the number of instances per unit area per annulus.

NOTE THAT THERE IS NO HOLE IN THE CENTER.

It shows that a uniform random distribution has a fairly uniform random chance of being some distance from TL. THIS IS CONTRARY TO WHAT YOU STATED. You claim a Raleigh Distribution. That's right, but only when you fail to account for the unit area.

So why does my last data trail off at the end? Simple. When the distance from TL is beyond 1.5 miles, we have data only in the corner of the randomly distributed square. The 7500 random fixes about TL should have been circular (r-theta distribution) instead of rectangular (cartesian x-y distribution).

I hope that the english was simple enough for you to follow and understand. I do have first hand experience in conversing in a language other than my native one. It is difficult.

Hopefully you consider the point that I and others are making. Your model has a problem which you must either explain or correct..

Respectfully Submitted

Brad Morris

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