ELEMENTARY TREATISE ON ASTRONOMY. BY ROBERT WOODHOUSE, A. M. F. R. S. FELLOW OF GONVILLE AND CA1US . COLLEGE, CAMBRIDGE CAMBRIDGE Printed by J. Smith, Printer to the University. CONTENTS. CHAP. I. Page CERTAIN Phenomena of the Heavens explained by the Rotation of the Earth 1 CHAP. II. On the proper Motions of the Earth, Moon, and Planets - - - 9 CHAP. III. On the Vicissitude of Seasons, and of Day and Night - ... 12 CHAP. IV. On the Phases and Eclipses of the Moon. 17 CHAP. V. On the Earth its Figure and Dimensions 20 CHAP. VI. Description and UTO cf the Astronomical Quadrant of the Circle of the Transit Instrument 24, CHAP. VII. Suns Motion Path Ecliptic Obliquity of Ecliptic - - - 34-CHAP. VIII. Transit of Stars over the Meridian Ascension Sidereal Day Mean Solar Day Year Longitude of the Sun Latitude and Longitude of the fixed Stars An of Position48 CHAP. IX. Precession of the Equinoxes Solar or Tropical Year Its Length Sidereal and Anomalistic Years Their Lengths, and the Methods of computing them THEORIES OF CORRECTIONS. CHAP. X. Page On the Corrections necessary to be made to the observed Right Ascensions and Declinations of Stars Refraction Parallax Aberration Precession Inequality of Precession Nutation - - 72 , CHAP. XI. Refraction Bradleys Formula Application of it, as a Correction of Observations 1CHAP. XII. On Parallax CHAP. XIII. On Aberration CHAP. XIV. On the Precession of the Equinoxes 130. CHAP. XV. On the Solar Inequality of Precession 149 CHAP. XVI. On Nutation Bradleys explanation of it ,-Formula foi the Effects of Nutation in North Polar Distance, and in Ascension - Obliquity of the Ecliptic affected by Nutation Use of Nutation as a Correction of Observations . j 53 CHAP. XVII. On the Means by which Bradley separated Nutation from the Inequalities of Precession and Aberration On the successive Circulations applied to the Apparent Place of a Star On the Secular Diminution of the Obliquity17 THEORY OF THE SUN. CHAP. XVIII. On the Orbit described by the Earth The Law of its Motion Keplers Problem Its. CHAP. XIX. Page On the Place and Motion of the Aphelion of an Orbit Duration of Seasons Application of Keplers Problem to the determination of the Suns Place ,-2 f By mistake, CHAP. XXI. was, made to follow CHAP. XIX. CHAT. XXL On the Inequalities of the Earths Orbit and Motion, caused by the disturbing Forces of the Moon and the Planets 217 CHAP. XXII. On the Equation of Time-222 THEORY OF THE PLANETS. CHAP. XXT1I. On the Phases of the Planets Their Points of Station, Retro gradations, c. 230 CHAP. XXIV. On the Method of reducing Observations made at the Earth to Observations that would, at the same time, be made by a Spectator situated in the Sun -252 CHAP. XXV. Determination of the Elements of the Orbits of Planets - - - 260 CHAP. XXVI. On the Formation of Tables of the Planets Motions, c. The Variation of the Elements of the Orbits Method of deducing the Place of a Planet from Tables --------268 CHAP. XXV11. On the Mode of examining, by Observations, the Tables of the Motions of Planets Heliocentric Longitudes and Latitudes reduced to Geocentric -273. CHAP. XXVIIL Page On the Synodical Revolutions of Planets On the Method of com putting the Returns of Planets to the same Points of their Orbits Tables of the Elements of the Orbits of Planets276 CHAP. XXIX. On the Satellites of the Planets On Saturn's Ring 288 THEORY OF THE MOON. CHAP. XXX. On the Phases of the Moon Its Disk Its Liberations in Longitude, in Latitude, and Diurnal - - - - -------29 3 CHAP. XXXI...