[no subject]

1998-08-03 Thread Mr.Pace




hi there all gnomonists
I was given a limestone sundial to restore and 
parts of it have broken. I was told to use an epoxy glue to stick these stone 
parts to the stone sundial itself...can someone please tell me any good brand 
names of such products?

Thanks
Alexei Pace



Re: Radius of the Earth

1998-08-03 Thread Richard Langley

The prime vertical radius of curvature of the ellipsoid (the radius of the
osculating circle in the east-west direction) is given by

 a^2
N = ---
(a^2 * (cos phi)^2 + b^2 * (sin phi)^2)^0.5

The ellipsoid of the Geodetic Reference System 1980 has

a = 6 378 137 metres
b = 6 356 752 metres (to the nearest metre).

In computing the distance to the horizon, if you want the visibile horizon (as
opposed to the geometric one), you should take refraction into account.

-- Richard Langley
   Professor of Geodesy and Precision Navigation



where a and b are the semimajor and semiminor axes of the ellipsoid and phi is
the geodetic latitude.

On Mon, 3 Aug 1998, Tony Moss wrote:

Fellow Shadow Watchers,
   Information boards are being prepared for a 
 nearly-completed large dial on a hill near the Northumberland (UK) coast 
 which is 94 metres above mean sea level at Latitude  55ƒ 1' 38 North  
 Longitude  1ƒ 30' 16 West.

 The latest question is How far away is the sea horizon?  School geography 
 taught me that the earth is an 'oblate speroid' so I suppose the true 
 distance varies slightly depending on the direction in which the observer is 
 looking but so little as to be unimportant perhaps?  The sea is only visible 
 in a generally easterly direction.

Can any list member supply the mean sea level radius of the earth at this 
location on which to base the necessary trig calculation plus any subtleties I 
may have overlooked as I don't have ready access to specialist reference 
material of this sort.

With thanks in anticipation of any helpful response.

Tony Moss




=== 
 Richard B. Langley Internet: [EMAIL PROTECTED] or 
[EMAIL PROTECTED]  
 Geodetic Research Laboratory   BITnet:   [EMAIL PROTECTED] or 
[EMAIL PROTECTED]
 Dept. of Geodesy and Geomatics Engineering Phone:(506) 453-5142
 University of New BrunswickFAX:  (506) 453-4943
 Fredericton, N.B., Canada  E3B 5A3 Telex:014-46202 
  Fredericton?  Where's that? See: http://www.city.fredericton.nb.ca/
=== 


Re: Radius of the Earth

1998-08-03 Thread Thibaud Taudin-Chabot

At 12:18 3-8-98 +0100, you wrote:
-Original Message/Oorspronkelijk bericht--
Fellow Shadow Watchers,
   Information boards are being prepared for a
nearly-completed large dial on a hill near the Northumberland (UK) coast
which is 94 metres above mean sea level at Latitude  55° 1' 38 North
Longitude  1° 30' 16 West. 

 The latest question is How far away is the sea horizon?  School
geography taught me that the earth is an 'oblate speroid' so I suppose the
true distance varies slightly depending on the direction in which the
observer is looking but so little as to be unimportant perhaps?  The sea is
only visible in a generally easterly direction.

Can any list member supply the mean sea level radius of the earth at this
location on which to base the necessary trig calculation plus any
subtleties I may have overlooked as I don't have ready access to specialist
reference material of this sort.

With thanks in anticipation of any helpful response.

Tony Moss

Tony,
I saw already some nice formulas for the calculations. However your
starting point is constant changing: your heigth is 94 meters above mean
sea level you say. So that is only 4 times a day. All other moments your
height above the actual water level will be more or less thanm the 94
meters! Each meter more or less changes the distance to the horizon by ca.
0.1 nautical miles.
Is that heigth of 94 meters at ground level or is it the heigth of the eye
of the observer?
How much is the difference between high tide and low tide at that spot? In
Britain the sea-levels are related to the Chart datum, which usually
approximates to Mean Low Water Springs (which occurs roughly once a month).
Normally a sailor doesn't have to take this into account because he floats
on the water, but you have a fixed observationpoint on the land.
I am afraid you have to make a few corrections to the 94 meters!
The refraction is dependant on the airpressure and the temperature.

-
Thibaud Taudin-Chabot, home email: [EMAIL PROTECTED]
(attachments max 1.2MB, in case of larger attachments contact me)


Radius of the Earth

1998-08-03 Thread Tony Moss

Fellow Shadow Watchers,
   Information boards are being prepared for a 
nearly-completed large dial on a hill near the Northumberland (UK) coast which 
is 94 metres above mean sea level at Latitude  55° 1' 38 North  Longitude  1° 
30' 16 West. 

 The latest question is How far away is the sea horizon?  School geography 
taught me that the earth is an 'oblate speroid' so I suppose the true distance 
varies slightly depending on the direction in which the observer is looking but 
so little as to be unimportant perhaps?  The sea is only visible in a generally 
easterly direction.

Can any list member supply the mean sea level radius of the earth at this 
location on which to base the necessary trig calculation plus any subtleties I 
may have overlooked as I don't have ready access to specialist reference 
material of this sort.

With thanks in anticipation of any helpful response.

Tony Moss


Re: Radius of the Earth

1998-08-03 Thread Uncle John

On Mon, 3 Aug 1998, Tony Moss wrote:

 
  The latest question is How far away is the sea horizon? 

Like most sundial questions this is also of imporance in navigation. How
far away the horizon is at sea depends, of course, on how far above sea
leval you are. If you are treading water with your eyes at seal leval your
horizon will be very near your face. If you stand in the lifeboat with
your eyes 6 feet above sea level the horizon is 3 miles out.

Take the distance in feet from the sea surface to your eye level, multiply
by 3/2 and then take the square root. This is approximately the distance
in miles to the horizon. (I assume they mean statute miles--this is boiled
down from Science Digest Feb 1984 p 34)