You are talking about the "First geodetic problem". This is a well know problem and it is solved using different iterative approach . GeoTools has an implementation of this problem in java and all of the geodesic software has different algorithm to solve it. You can google 'geodesic problem' to find more information. Any book about basic geodesy or geometric geodesy would be ok too.

http://en.wikipedia.org/wiki/Geodesy
http://www.ferris.edu/faculty/burtchr/sure452/notes/direct-inverse.pdf

With a little bit of time im sure you can find much better links in internet.

hope it helps
cheers,
Jose


On 08/11/2010 23:21, Paul Ramsey wrote:
There is code for this in the lwspheroid.c file in liblwgeom. Note it
is GPL. It's not exposed in SQL at the moment, I didn't realize people
would have that use case. So file a ticket to make azimuth/bearing
translations on the spheroid available in SQL.

P

On Mon, Nov 8, 2010 at 11:52 PM, Luke Wilmen<[email protected]>  wrote:
G'day all,
Long time reader, first time poster. Recently I have been developing a
project that is requiring a point to be translated along a great circle path
by a given distance (metres) and initial bearing. I have already implemented
functions that do this with normal spherical calculations based upon an
average radius for the Earth. These spherical calculations work fine when
you are close to the equator however the accuracy is outside the tolerances
for our project as you move further towards the poles (points drift by
upwards of 10m - 20m).
After pouring over the Internet and this mailing list I have been unable to
find any solution for achieving these calculations on a spheroid/ellipsoid
and am wondering if anyone else has had any success in this area or would be
able to offer some advice?
Regards,
Luke.
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--
------------------------------
José Carlos Martínez Llario

Producción Cartográfica y SIG.
Dpto. Ingeniería Cartográfica.
Univ. Politécnica de Valencia.

E-mail: [email protected]
Telf: 963877007 ext. 75599
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