(pardon the long post)
Mr. Falla,
I do not have any experience doing night land nav, nor as a forward observer. But from my topography lessons at college, and professional experience in the field of geology, I tend to think that milliradian precision is only to be acquired if using a stable, level position, with a long sighting base and appropriate magnification.
Even if all previous considerations are awfully wrong, math still applies.
A circumference has 360 degrees, 2 Pi radians or 6238 milliradians.
1 milliradian equals 0.00017 degrees, while 1 arc-second equals 0.00027 degrees.
Even if military compasses are divided in 6200 or 6400 mils, the above numbers are correct up to the 5th place.
While I was working at a mine in SE Brazil, the survey crew usually spat out angle measurements that amounted to 2 arc-seconds. And that is with a stable, leveled base and precision instrument, which a compass has not and is not.
Further, the error from a 1-degree off compass reading is in the order of 1,7%. So, for a ded reckon lenght of 1000m, one would veer off-course only 17m.
Considering that one would (presumably) rarely cover that long distance without looking around, that 17m mistake would me corrected long before the end of the 1000m leg.
Also, humans rarely walk in a straight line, and in a wooded area, the total distance, due to walking around trees and other obstruction would probably be much more than those 17m.
Using radians (or mils) does have other advantages, though.
What I know that from a known distance from an object is just a matter of a simple multiplication to get the height or length from said object. If using degrees, one needs to use a trigonometric table before doing said multiplication.
The inverse operation allows to get distance from a known height (or length), and that, AFAIK, is the method used with the mil-dot reticle on rifle scopes.
So, if you prefer the mils, just state so. No need to state the precision, which I hopefully made the case, is only of interest to surveyors and engineers.
Other than what I said regarding the mils, I agree with you.
P.S.: Geologists are well known to be fond of the awkward quadrant compasses...

Bookmarks