below the equator. Latitudes are expressed in degrees
and are measured from 0° to 90° north or south. The
conventional symbol for latitude used in computation is
the Greek letter @.
As shown also in figure 15-2, the longitude of a
point is the angular distance measured along the equator
between the meridian passing through a point and a
reference meridian. The chosen reference meridian is
the Greenwich meridian that passes through Greenwich,
England. That meridian is known as the primary or
prime meridian. Longitude is also expressed in degrees
but is measured from 0° to 180° west or east from the
prime meridian. The conventional symbol for longitude
is the Greek letter k (lambda).
Celestial system of
Coordinates
To explain the celestial system, lets first suppose
that the earth is a glass sphere, with meridians and
parallels traced in black and a light placed at the center.
Suppose, too, that this sphere is placed at the center of
another infinitely larger sphere, as shown in figure 15-3.
This larger sphere is the imaginary celestial sphere on
which all the heavenly bodies are presumed to be
located.
The celestial sphere is a mathematical concept of a
sphere of infinite radius whose center is at the center of
the earth The points at which the earths prolonged axis
of rotation pierces the celestial sphere are known as the
celestial poles. The plane of the earths equator,
extended to the celestial sphere, coincides with the
celestial equator. Great circles through the celestial
poles, comparable to the earths meridians, are called
hour circles. The angle between hour circles is the hour
angle. Even though the earth rotates and the stars appear
stationary among themselves, it is easier to think of the
earth as being stationary, while the celestial sphere, with
the celestial bodies attached, rotates from east to west,
This is actually its apparent motion. When reference is
made to a stars path or motion, it is this apparent motion
that is referred to.
DECLINATION.
Similar to latitude, the
declination of a celestial body (star, sun, or planet) is
its angular distance north or south of the celestial
equator. As with latitude, declination is expressed in
degrees and is measured horn 0° to 90° north or south
from the celestial equator. North and south declination
values are given plus and minus signs, respectively. The
conventional symbol for declination is the Greek
letter 6 (delta).
RIGHT ASCENSION. The vernal equinox,
also known as the first point of Aries, is an imaginary
point on the celestial sphere where the ecliptic (or
apparent path of the sun) crosses the equator from
south to north on or about 21 March of each year. The
vernal equinox moves westward along the equator
about 50 seconds of arc per year. The right ascension
of the sun or any star is the angular distance measured
eastward along the celestial equator between the
vernal equinox and the hour circle passing through the
celestial body. Right ascension is normally expressed
in units of time from 0 to 24 hours, although it can be
expressed in degrees with 1 hour of time
corresponding to 15°. The conventional symbol for
right ascension is the Greek letter a (alpha), or it can
be abbreviated RA.
HOUR ANGLE. Right ascension and declination
are independent coordinates of the celestial system,
whereas the hour angle is a dependent coordinate. Hour
angle is the angle between celestial meridians, or hour
circles; but its origin is the meridian that passes through
the observers zenith (or point on the celestial sphere
directly above the observer). The hour angle of a star is
defined as the angular distance, measured westward
along the celestial equator, between the observers
meridian and the hour circle or meridian of the star. This
angle is often called the local hour angle (LHA), which
will be discussed later.
GREENWICH HOUR ANGLE. The coordi-
nate for a heavenly body that corresponds to longitude
is called the Greenwich hour angle (GHA). The
Greenwich hour angle is the angular distance from the
Greenwich meridian to the meridian of the heavenly
body. It is always measured westward from the
Greenwich meridian and is expressed in degrees from
0° to 360°. Another point to remember is that, while the
longitude of a point on the earth always remains the
same, the GHA of the celestial object is constantly
increasing as the body moves westward on the celestial
sphere.
Horizon System of
Coordinates
To connect the celestial and terrestrial coordinates,
you must have a third system, descriptive of the
observers position. The fundamental reference of this
15-4