Re: GPS formulas

Everett M. Greene <mojaveg@xxxxxxxxxxxxxxxxxx> wrote:
> Hans-Bernhard Broeker <broeker@xxxxxxxxxxxxxxxxxxxxx> writes:

[...]

> > The distance between two such points along the earth's surface is then
> > roughly
> >
> > arccos(dotproduct(point1, point2))/R

> The above formula will cause all sorts of grief for short
> distances.

That grief is due to the problem being numerically tricky, though, not
because of the formula being wrong. The formula cited by the OP will
have very similar problems: differences among longitudes and latitudes
of nearby points will lose up to 5 decimal digits to cancellation (GPS
resolution vs. range), even before any trigonomtric function is
called.

--
Hans-Bernhard Broeker (broeker@xxxxxxxxxxxxxxxxxxxxx)
Even if all the snow were burnt, ashes would remain.
.

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