Download RELATION BETWEEN LONGITUDE AND TIME

INTRODUCTION TO ASTRONOMY
DEFINITION OF TERMS
 Celestial sphere – a hollow sphere/imaginary globe of
infinite radius of which the earth is the center
 Celestial poles – are the points where the earth’s axis
prolonged pierces the celestial sphere
 Zenith – the point where a vertical line pierces the
celestial sphere above the head of the observer
 Nadir – the corresponding point in the opposite
hemisphere, directly below the observer
 Celestial equator – is the great circle formed by the
intersection of the earth’s equatorial plane with the surface
of the celestial sphere
 Declination of any celestial body – is the angular
distance of the body above or below the celestial equator
 Polar distance or codeclination of any celestial body –
is p = 90 - 
 Latitude of a place – may be defined as the angular
distance of the place above or below the equator
 Longitude of a place – is defined as the angular distance
measured along the arc of the equator between a
reference meridian and the meridian circle passing
through the station
 Primary meridian – is the reference meridian
 The right ascension of the sun or any star is the
angular distance measured along the celestial equator
between the vernal equinox and the hour circle through
the body
 Azimuth of a celestial body – is the angular distance
measured along the horizon in a clockwise direction from
the meridian to the vertical circle through the body
 Altitude of a celestial body – is the angular distance
measured along a vertical circle, from the horizon to the
body
 Zenith distance or coaltitude – is the angular distance
from the zenith to the celestial body measured along a
vertical circle
 Civil time – has the same meaning as the mean solar
time or mean time
 Local civil time – is the time at the meridian of the
observer
 Greenwich civil time – civil time of the prime meridian at
Greenwich
 Apparent solar time (at any place) – is given by the hour
angle of the true sun plus 12h. Also called, apparent time
 Local apparent time – is the apparent time for the
meridian of the observer
 Greenwich apparent time – apparent time at Greenwich
 Mean solar time (at any place) – is given by the hour
angle of the mean sun plus 12h
 Sidereal time (at any place) – is the hour angle of the
vernal equinox at that place
RELATIONS AMONG LATITUDE, ALTITUDE, AND
DECLINATION
 Figure 10.7 represents a section of the earth through the
pole and the station of an observer
 The latitude of the observer is given by the angle 
between the equator and a vertical line through the
observer’s station, the angle being measured in the plane
of the meridian
 Figure 10.8 represents a section of the celestial sphere
through the celestial poles and the observer’s zenith
 As shown
< QOZ = <NOP =  = latitude of observer’s place
 Hence, the latitude of a place is given by the angular
distance NP, which is the altitude of the pole, or by the
angular distance QZ, which is the zenith distance or
coaltitude of the equator
 The angular distance from the pole to the zenith is 90 - 
= c, which is the colatitude of the place
 In the northern latitude, if any heavenly body S having
declination  is on the meridian and south of the zenith,
then from Figure 10.8,
 = (90 - h) +  = z + 
RELATION BETWEEN LONGITUDE AND TIME
 As the sun apparently makes a completer revolution (360)
about the earth in one solar day (24 h), and as the longitudes
of the earth range from 0 to 360, it follows that in 1 hour the
sun apparently traverses 360/24 = 15 of longitude
 It follows that, the difference in local time between two
places, whether the time under consideration be sidereal,
mean solar, or apparent solar, is equal to the difference in
longitude between the two places, expressed in hours
 Some solar ephemeredes are for the meridian of Greenwich,
and a frequent problem is to find the local time
corresponding to a given instant of Greenwich time or vice
versa
 The local time (L.T.) of a place at a given instant is obtained
by adding or subtracting from the Greenwich time (G.T.) the
difference in longitude (), expressed in hours, between the
two places
 If the place is east of Greenwich, the difference in longitude
is added; if the place is west; the difference in longitude is
subtracted
Relationship between Time and Longitude
 In these problems concerning time intervals and longitude,
conversion from angular units to units of time or the
reverse frequently is necessary
 These conversion can be accomplished by the following
relationships
Time
24h
1h
1m
1s
=
=
=
=
Arc
360
15
15’
15”
Arc
360
1
1’
1”
=
=
=
=
Time
24h
4m
4s
0.067s