RE: [Paddlewise] GPS Errors Summary

From: Michael Daly <mikedaly_at_magma.ca>
Date: Sat, 04 Sep 2004 13:22:31 -0400
On 4 Sep 2004 at 17:45, PeterO wrote:

> Three questions if you have time. i) What is GPSD compared with GPS

Differential GPS (DGPS) uses a special second receiver to pick up a 
radio signal from a ground station (usually obtained by paying a fee 
to the operator of the ground station). This signal transmits 
information that indicates accurate position information (IIRC, the 
info is more precise satellite positions).  It can be used to produce 
a position estimate with much higher accuracy.

> ii) Is it possible to determine longitude without a time reference
> (Greenwich) using celestial navigation. 

Determining longitude depends on two things - finding your local time 
and knowing Greenwich time.  The difference in these two times, 
taking into account that the Earth rotates once every 23h56m (24h 
sidereal time), allows you to determine longitude.  

Local time can be determined from observing time of transit of the 
sun (hence the importance in the days of sailing ships of measuring 
noon), the moon, planets or stars. With a sextant, you can determine 
this indirectly without resort to actually observing a transit.  

(Transit is when a celestial body passes your meridian or is at it's 
highest point in the sky.)

Regardless of how the maths are done, the process is equivalent to 
the above.  Hence, the clock is critical.

> iii) With your measurements on
> the trimaran is the sextant gimballed in any way to help with
> stability or is that a ludicrous concept?

If you swing a sextant side to side, the apparent angle changes and 
the minimum angle is the correct one.  The quality of the navigator 
is indicated by their ability to get the angle correct regardless of 
how the ship is moving.

At one time, there were experiments with gimballed chairs to steady 
the observer.  They were largely futile.  This was in the days of the 
lunar distance method.  The latter was a process of measuring the 
angular distance between the moon and several stars to detemine the 
moon's true position.  Once this is known, the time at Greenwich can 
be determined.  It was an unweildy method and was largly ignored once 
marine chronometers were perfected.  Lunar distance tables were still 
published up to the first world war, however (aah, naval tradition!).
What made the method unpopular was not the measurement, but the many 
hours of computation required to produce the time.  It was the lunar 
distance method that gave us the sextant.  The octant was sufficient 
for measuring the altitude of stars, but too narrow in range to 
measure the lunar distances.  Hence the larger sextant was developed.

There are many excellent books that cover the history of this stuff - 
notably Dava Sobel's "Longitude".  It was also made into a superb 
made-for-TV movie starring Jeremy Irons and Michael Gambon.  Check it 
out of the video store!  

(In the film, Irons plays the role of Rupert T. Gould, an amateur 
chronometer enthusiast who rebuilt the original Harrison chronometers 
and got them working.  Gould's book "The Marine Chronometer" is out 
of print (both editions) and is quite valuable.  I spend untold 
numbers of hours in used bookstores when traveling to other cities in 
the hopes of finding a copy - it's on Amie's list of things to look 
for at garage sales).

Another book I like is David Landes' "Revolution in Time", but it 
focusses almost exclusively on the development of the chronometer 
rather than the other aspects of navigation.  

The root of modern astronomy and much of physical science arises from 
the problem of determining longitude.  All of the significant 
observatories were set up to determine the star positions with great 
accuracy.  All the great scientists were involved and many theories 
and discoveries in physical science resulted.  Galileo proposed using 
the moons of Jupiter as an accurate timepiece (they were used to 
establish longitude on land for many years).  Robert Hooke's 
experiments on springs (to power timepieces) resulted in the 
foundations of the theory of elasticity.  Newton invented the 
Calculus of Variations to explain the characteristics of a perfect 
pendulum to govern a clock. The concept of open scientific 
publication was also debatably enhanced as a result of the constant 
communication between seventeenth and eighteenth century scientists 
trying to solve the problem - all this in spite of frequent wars.  
Economists can point to the collapse of the guild system and the 
development of the free market in Britain as a reason why the 
technology of navigation blossomed in Britain and was stifled in the 
rest of Europe.  Fascinating stuff!

But I digress...

Mike
***************************************************************************
PaddleWise Paddling Mailing List - Any opinions or suggestions expressed
here are solely those of the writer(s). You must assume the entire
responsibility for reliance upon them. All postings copyright the author.
Submissions:     PaddleWise_at_PaddleWise.net
Subscriptions:   PaddleWise-request_at_PaddleWise.net
Website:         http://www.paddlewise.net/
***************************************************************************
Received on Sat Sep 04 2004 - 10:20:28 PDT

This archive was generated by hypermail 2.4.0 : Thu Aug 21 2025 - 16:31:17 PDT