Latitude.
There are three kinds of Terrestrial
latitude: astronomical, geographic and
geocentric. (1) Astronomical:
the angle between the direction of the
plumb-line and the plane of the Earth's
equator. If the Earth were a homogeneous
sphere without rotation, the plumb-line
would point toward its center -- but the
Earth is not an exact sphere. Deviation due
to inequalities of the Earth's surface is
termed Station Error. (2)
Geographic: the latitude used in
drawing terrestrial maps. It is astronomical
latitude corrected for station error. (3)
Geocentric: from a given point on
the Earth's surface subtend a line to the
Earth's center, and there compute the angle
between this line and the plane of the
equator.
It is
important to distinguish between
Geographical Latitude measured N. or S. of
the Equator, and Celestial Latitude measured
N. or S. of the Ecliptic. Geographical
Latitude is thus comparable to Declination
rather than Celestial Latitude.
There are also
Galactic Latitude,
angular distance on the celestial sphere
measured from the medium plane of the Milky
Way; and Heliographic Latitude,
angular distance on the Sun's sphere, N. or
S. of its Equator.
There are also
three varieties of its Celestial equivalent:
(a) that which parallels the Horizon, which
is called altitude; (b) that which parallels
the Equator, which is called declination;
and (c) that which parallels the Ecliptic,
which is called Latitude. (v. Celestial
Sphere.) Since the apparent motion of
the Sun, resulting from the Earth's motion
in orbit, is itself the Ecliptic, the Sun
can have no Latitude. Since the orbits of
the planets are inclined to the Ecliptic at
an angle of more or less obliquity, each
planet, without Latitude when it intersects
the Ecliptic, increases in latitude as it
approaches the square to its Nodes: for one
half its orbit in North Latitude, the other
half in South Latitude. The maximum possible
Latitude of each planet, and the location of
its Node, are as follows:
...Planet.......Node
as of 1946.....Maximum Latitude
...Moon...................................5°17'
...Mercury.........47°32'.................7°
...Venus...........76°05'.................0°24'
...Mars............49°02'.................1°51'
...Jupiter.........99°46'.................1°18'
...Saturn.........113°04'.................2°29'
...Uranus..........73°39'.................0°46'
...Neptune........131°02'.................1°47'
...Pluto..........109°25'................17°09'
To
Change Geographical to Geocentric
Latitude, or the Reverse.
These are equal at the equator and the
poles. At 45° the Geocentric Latitude is
the greater by about 4½ minutes.
The following table shows the corrections
for each degree of separation from either
the horizon or the pole, whichever is the
nearer, the correction to be added to
Geographic or subtracted from Geocentric
Latitude, to change one to the other.
.. 1º
....... 24".2
.. 2º
....... 24".36
.. 3º
......1'12".47
.. 4º
......1'24".16