[Proj] Relationship between transverse Mercator algorithms
Charles Karney
ckarney at sarnoff.com
Thu Sep 11 14:20:41 EDT 2008
I've posted an update of
http://charles.karney.info/geographic/UTM-fi.txt
This contains a listing of the errors quoted as meters on the ground
(instead of meters in TM space). This also includes the coefficients
for the 12th order series for the TM calculation and I say where the
extra terms go in Krueger's 1912 paper.
Finally, I've also posted 3 maxima files:
tmseries.mac -- maxima code to generate the coefficients for the series
in UTM-fi.txt.
tmscale.mac -- maxima code to generate series approximations for the
scale and meridian convergence in UTM-fi.txt.
revert.mac -- maxima code for the reversion of a series (used by
tmseries.mac).
These were important for me because I never like coding up a series
solution unless I have some way of generating the general term in the
series.
You'll need to have maxima installed to run these. (This is easy if
you're running Linux.) Sorry, but this code is neither pretty nor
efficient (nor is is documented). Ask if you have questions...
--
Charles Karney <ckarney at sarnoff.com>
Sarnoff Corporation, Princeton, NJ 08543-5300
URL: http://charles.karney.info
Tel: +1 609 734 2312
Fax: +1 609 734 2662
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