Sidereal time, apparent solar time, and mean solar time

The equation of time.

Sidereal clock and mean solar clock

To find the arc described by a meridian of the earth in a mean

solar day

The sidereal day, the apparent solar day, and the mean solar day. 61

To find the daily motion of the mean sun in the equator

63

63

64

64

64

Nautical and astronomical day

Rules in Nautical Astronomy.

65

I. Given civil or nautical time to find astronomical time

II. Given astronomical time to find civil or nautical time

To find the time at any place having given the Greenwich

time and longitude .

66

VI. To find the Greenwich date (second method)

71

Explanation and use of the Nautical Almanac.

VII. To take out of the Nautical Almanac for any given time

the sun's declination (first method)

VIII. To take out the sun's declination (second method)

IX. To take out the equation of time

74

75

77

X. To take out the moon's semi-diameter and horizontal parallax 78

XII. To take out the moon's declination and right ascension

XIII. To take out the right ascension of the mean sun

82

83

XIV. To take out the lunar distance for any given time at

Greenwich

84

XV. To find the time at Greenwich corresponding to a given

lunar distance

Page

86

To take out a planet's right ascension and declination . 87

XVI. Given mean solar time and the equation of time to find

apparent solar time, and the converse

XVII. Given mean solar time to find sidereal time.

XVIII. Given apparent solar time to find sidereal time

XIX. To find what heavenly body will pass the meridian the

next after a given time

XX. Given sidereal time to find mean time

XXI. Given hour angle to find ship mean time

XXII. To find at what time any heavenly body will pass the

90

91

92

95

XXIII. Given a star's observed altitude to find its true altitude

XXIV. Given a planet's observed altitude to find its true

106

XXV. Given the sun's observed altitude to find its true

altitude

109

XXVI. Given the moon's observed altitude to find its true

altitude

110

Rules for finding the Latitude.

XXVII. To find the latitude by meridian altitudes of a circum-

XXVIII. To find the latitude by sun's meridian altitude

XXIX. To find the latitude by sun's meridian altitude in arti-

XXX. To find the latitude by moon's meridian altitude
XXXI. To find the latitude by star's meridian altitude
XXXII. To find the latitude by planet's meridian altitude
XXXIII. To find the latitude by meridian altitude under the

pole .

XXXIV. To find the latitude by sun's altitude near the meridian 136

XXXV. Correction for run of the ship in double altitude .

XXXVI. To find the latitude by double altitude of sun .

143

144

Page

XXXVII. To find the latitude by double altitude of two stars

observed at same time

150

XXXVIII. To find polar angle

155

XXXIX. To find the latitude by double altitude of two stars

observed at different times

157

altitude

XL. Ivory's Rule for finding the latitude by sun double

XLI. To find the longitude from the above observations
XLII. Given, error and rate of chronometer, to find
Greenwich mean time at some instant

XLIII. To find error of chronometer on mean time at the

ship by a single altitude of the sun

161

166

168

170

XLIV. To find the error of chronometer on mean time at

Greenwich by a single altitude of the sun

172

XLV. To find error of chronometer on mean time by single

altitude of a star

178

XLVI. To find error of chronometer by equal altitudes

183

Rules for finding the Longitude.

XLVII. To find the longitude by chronometer and altitude of

sun

XLVIII. To find the longitude by chronometer and star

192

altitude

Lunar observations

198

203

XLIX. To clear the lunar distance

L. To find the longitude by sun lunar (ship time deter-

mined from sun's altitude)

LI. To find the longitude by sun lunar (ship time deter-

mined from moon's altitude)

LII. To find the longitude by star lunar (ship time deter-

mined from star's altitude)

LIII. To find the longitude by star lunar (ship time deter-

mined from moon's altitude)

226

LIV. To find the longitude by planet's lunar (ship time

determined from planet's altitude)

Longitude by lunar-altitudes calculated to find ship

mean time

LV. To find longitude by sun lunar, altitudes calculated. 230

LVI. To find longitude by star lunar, altitudes calculated. 236

Variation of Compass.

LVII. To find the variation of the compass, having given the

true bearing and compass bearing and deviation

LVIII. Variation by amplitude

LXIX. Variation by altitude azimuth .

LX. Variation by time azimuth

Examination Papers