Nautical Issues
marine navigation :: basic geographical notions
 
 
Marine Navigation
Basic geographical notions

A diameter around which the Earth is turning is an axis of the Earth, ends of that axis are poles: north and south. The zero parallel i.e. the equator are coming into existence by cutting in two the Earth with the perpendicular to the axis of the Earth and going through its middle. The equator is dividing also the globe into two hemispheres: north and south.

Parallels are circles about smaller than the ray of the Earth radii and parallel to the equator, their plain aren't going through the middle of Land. Meridians are circles about the rays equal of the ray of the Earth and running across poles north and noon, their plains are going through the middle of Land. The prime meridian is running across the London Greenwich district and he is dividing the globe into two hemispheres: east and west.

Geographical longitudes and latitudes

Longitude λ (upper and bottom scale on the map)
It is angle measure between the prime meridian (Greenwich) and with free different meridian. The longitude is being measured up from the prime meridian to the east or the west. A letter is a symbol of the longitude λ.
Longitude All points to the east of the Greenwich meridian (from 0 to 180°) they have the eastern length, so at the recording of coordinates a sign is being added [+] or oh and is writing this way:
λ = +012° 47,3'
or so:
λ = 012° 47,3' E
All points west of the Greenwich meridian (from 0 to 180°) they have the west length, at the recording of coordinates a sign is being added [-] or in and is enrolling this way:
λ = -012° 47,3'
or so:
λ = 012° 47,3' W

The 180° meridian is international date line.

 

 

Latitude φ (right and left scale on the map)
It is angle measure between the equator and the free different parallel. The latitude is being measured up from the equator for the midnight or the noon. He is a symbol of the latitude φ.
Latitude All points to the north of the equator (from 0 to 90°) of May north breadth, so at the recording of coordinates a sign is being added [+] or N and is writing this way:
φ = +55° 32,5'
or so:
φ = 55° 32,5' N
All points to the south of the equator (from 0 to 90°) they have the southern breadth, at the recording of coordinates a sign is being added [-] or S and is enrolling this way:
φ = -55° 32,5'
or so:
φ = 55° 32,5' S

 

 

 

Geographical longitudes and latitudes

This way so putting the yacht at sea is determining two coordinates: the length and the latitude. In practice he often enrols coordinates of the position into this way:

φ 55° 32,5' N ; λ 012° 47,3' E

The longitude and the latitude are being measured up in steps, minutes and seconds, where:

1° = 60'
1' = 60''

 

 

 

 

 

 

The horizon

Horizon of the observer - it is the plain distant from the surface of the Earth at the so-called optic height (that is distance equal of raising eyes of the observer above the surface of the Earth) and perpendicular to the clearing of the sector running across the place of the observer and the centre of Land.

True horizon - it is a parallel to the horizon of the observer and going through the middle of Land plain. The sight of the observer is limited by the ruler of the horizon and he is depending on the optic height.

The horizons

Knowing the height of raising eyes of the observer (h) it is possible easily to calculate the distance to the horizon what in certain situations can be essential (e.g. assessment of distance dividing the yacht from the edge). We are calculating the distance from the model.

formula

 

We can use the line and to calculate the distance to the object about the known height (e.g. lights of the lighthouse) using the moment in which the light is hiding behind the horizon. Best to capture such a moment when the light is visible for the observer standing aboard and invisible for the sitting observer.

Distance to the lighthouse

Remarks:
Height of Focal Plane above Chart Datum if no tide or Height of Focal Plane above water (tide has to be calculate)

 

Calculating the Distance to the Horizon

Using the Pythagoras theorem for a right-angled triangle OBC it is possible to deduce the formula to the distance to the horizon.

AB = h   (The height of the observers eye above see level in metres [m])
OA = OC = R   (Earth radius)
BC = d   (Distance of sea horizon in Nautical Miles [Mm])
BO = h + R
CO = R
so
BO2 = BC2 + CO2
(R + h)2 = d2 + R2

d2 = (R + h)2R2 = R2 + 2Rh + h2R2

So the total distance to the horizon is given by:


On account of the minimum value to the Earth radius we are omitting the "h" in the expression (h+2R), then we will receive

Calculating in nautical miles (Mm)   

Mean of the Earth radius R = 6370 x 103 m and we are sharing the result through 1852 m in order to get nautical miles (Mm).

So    

As a result of the refraction, the average distance to the horizon is enlarged about 1/13.

The height of the observer's eye above see level in metres [m] and feet

 

 

 

 


Top of page

These website prescribe to observe with opened eyes, at the resolution screen 1024/768 and colors 32bit
Copyright 2007 Nautical Issues. All rights reserved. Designed by author.