Bah! Just when I thought I had it figured out! Oh well, at least now I get
it. Thanks for that Phil. Very helpful.

Cheers,
Phil.
----- Original Message ----- 
From: "Phil Scadden" <[EMAIL PROTECTED]>
To: "NZ Borland Developers Group - Delphi List" <[EMAIL PROTECTED]>
Sent: Thursday, April 22, 2004 10:19 AM
Subject: Re: Fw: [DUG] Converting some code from C


> > Actually, as you pointed out, a rhumb line is the straight line, but if
you
> > follow a constant bearing (eg, make sure that you are heading 20deg at
all
> > times) then you will not be following a straight line (although it's all
> > relative to the projection you use) because of the curvature of the
earth
>
> No, that is not correct. A rhumb line is not a straight line, it a line of
> constant bearing  (a loxadrome) when traversing a sphere. The idea of a
> rhumb line as "a straight line" comes from the use of a mercator
> projection. This projection is the favourite of navigators because of its
> property of showing a rhumblines as straight lines.  If you always head 20
> degrees, you are followinging a rhumbline by definition. If you follow
> a great-circle path on the earth, then you are changing your bearing
> constantly. Since this isnt  really practical for all but the most
> sophisicated of navigation, great-circles navigation is usually by a
series
> of rhumblines approximating the great circle.
>
> > Thanks for the rhumb line calculation - I will try it later and see if
it
> > works. As it turns out, it's the calculation that I was after anyway - I
> > mistakenly asked for the wrong formula. Rhumb line *is* what I want. I
was
> > going to implement the great circle bearing version with incremental
rumb
> > line segments. I'll let you know if the formula checks out.
>
> Okay, you figured it out. Just be aware that the formula has limitations
on
> the ellipsoid but you probably have limitations with the accuracy of
> distance too if this is for navigation.
>
> ----------------------------------------------------------
> Phil Scadden, Institute of Geological and Nuclear Sciences
> 764 Cumberland St, Private Bag 1930, Dunedin, New Zealand
> Ph +64 3 4799663, fax +64 3 477 5232
>
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