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IN THE DETERMINATION OF THE PLACES AND MOTIONS OF
THE HEAVENLY BODIES.
CHAPTER I.
On the Celestial and Terrestrial Spheres
CHAPTER II.
11
On the Construction and Use of the Principal Astronomical Instruments
23
On the Corrections of the Co-ordinates of the Observed Place of a
Heavenly Body
Refraction
Parallax
Aberration
Precession and Nutation
Remarks on the Corrections.-Verification of the Hypothesis
that the Diurnal Motion of the Stars is Uniform and Circular
CHAPTER IV.
Of the Earth-its Figure and Dimensions-Latitude and Longitude
of a Place
Determination of the Latitude and Longitude of a Place
CHAPTER V.
Of the Places of the Fixed Stars
CHAPTER VI.
Of the apparent motion of the Sun in the Heavens
CHAPTER VII.
Of the Motions of the Sun, Moon, and Planets, in their orbits
Kepler's Laws
Definitions of Terms
Elements of the Orbit of a Planet
Methods of Determining the Elements of the Moon's Orbit
Methods of Determining the Elements of a Planet's Orbit
Mean Elements and their Variations
CHAPTER VIII.
On the Determination of the Place of a Planet, or of the Sun, or
Moon, for a Given Time, by the Elliptical Theory; and of the
Verification of Kepler's Laws
Place of a Planet, or of the Sun or Moon in its Orbit
Heliocentric Place of a Planet
Geocentric Place of a Planet
Places of the Sun and Moon
CHAPTER IX.
On the Inequalities of the Motions of the Planets and of the Moon;
and of the Construction of Tables for finding the Places of these
Bodies
Construction of Tables
105
ib.
106
107
108
109
114
Determination of the Time and Regulation of Clocks by Astro-
nomical Observations
130
Of the Calendar
133
PART II.
ON THE PHENOMENA RESULTING FROM THE MOTIONS OF
THE HEAVENLY BODIES, AND ON THEIR APPEARANCES,
DIMENSIONS, AND PHYSICAL CONSTITUTION.
CHAPTER XIII.
Of the Sun and the Phenomena attending its Apparent Motions
Inequality of Days
Twilight
The Seasons
Appearance, Dimensions, and Physical Constitution of the Sun
147
CHAPTER XIV.
Of the Moon and its Phenomena
153
Phases of the Moon
ib
Moon's Rising, Setting, and Passage over the Meridian
Rotation and Librations of the Moon
155
158
Dimensions and Physical Constitution of the Moon
159
CHAPTER XV.
Eclipses of the Sun and Moon--Occultations of the Fixed Stars
Eclipses of the Moon
Eclipses of the Sun
Occultations
CHAPTER XVI.
Of the Planets and the Phenomena occasioned by their Motions in
PAGE
162
171
183
Space
184
Apparent Motions of the Planets with respect to the Sun
Stations and Retrogradations of the Planets
187
Phases of the Inferior Planets
190
Transits of the Inferior Planets
191
Appearances, Dimensions, Rotation, and Physical Constitution
of the Planets
192
CHAPTER XVII.
Of Comets
201
Their General Appearance-Varieties of Appearance
Form, Structure, and Dimensions of Comets
205
PART III.
OF THE THEORY OF UNIVERSAL GRAVITATION.
CHAPTER XIX.
Of the Principle of Universal Gravitation
CHAPTER XX.
Theory of the Elliptic Motion of the Planets
CHAPTER XXI.
Theory of the Perturbations of the Elliptic Motion of the Planets
and of the Moon
231
234
239
CHAPTER XXII.
Of the Relative Masses and Densities of the Sun, Moon, and Planets;
and of the Relative Intensity of the Gravity at their surface
CHAPTER XXIII.
249
Of the Figure and Rotation of the Earth; and of the Precession of
the Equinoxes and Nutation
251
PROB. I. To work, by logistical logarithms, a proportion the terms
of which are degrees and minutes, or minutes and seconds, of
an arc; or hours and minutes, or minutes and seconds, of time
266