An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the History of the Problem Up to the Time of Newton |
From inside the book
Results 1-5 of 19
Page vi
... variations of the motion of the node and of the inclination of the orbit . Laplace , Damoiseau , Plana , and also Herschel and Airy in their more elementary works , have found it more con- venient to express the variations of the ...
... variations of the motion of the node and of the inclination of the orbit . Laplace , Damoiseau , Plana , and also Herschel and Airy in their more elementary works , have found it more con- venient to express the variations of the ...
Page vii
... variation in the elements . of the moon's orbit , and thence to conclude the corre- sponding variations of the radius vector , the longitude , and the latitude . The selection of the method followed in the present work , which is the ...
... variation in the elements . of the moon's orbit , and thence to conclude the corre- sponding variations of the radius vector , the longitude , and the latitude . The selection of the method followed in the present work , which is the ...
Page xi
... Variation 112 123 Tycho Brahe's discovery and representation of the Annual Equation · 124 Tycho's Table for the Reduction 125 Inclination of the Moon's orbit and motion of the Node cal- culated by Hipparchus • • 126 Tycho Brahe's ...
... Variation 112 123 Tycho Brahe's discovery and representation of the Annual Equation · 124 Tycho's Table for the Reduction 125 Inclination of the Moon's orbit and motion of the Node cal- culated by Hipparchus • • 126 Tycho Brahe's ...
Page 68
... Variation . 72. To explain the physical meaning of the term Ym2 sin { ( 2 – 2m ) pt — 2ß } , - * The change of eccentricity and the variation in the motion of the apse follow the same law as the abscissa and ordinate of an ellipse ...
... Variation . 72. To explain the physical meaning of the term Ym2 sin { ( 2 – 2m ) pt — 2ß } , - * The change of eccentricity and the variation in the motion of the apse follow the same law as the abscissa and ordinate of an ellipse ...
Page 69
... Variation , its period is the time in which the argument ( 2-2m ) pt - 28 will increase by 2π ; .. period of variation = 73. The quantity = * 2π mean synodical month Th - mTh ( 2-2m ) p - = 144 days , nearly . * 2 m2 is only the first ...
... Variation , its period is the time in which the argument ( 2-2m ) pt - 28 will increase by 2π ; .. period of variation = 73. The quantity = * 2π mean synodical month Th - mTh ( 2-2m ) p - = 144 days , nearly . * 2 m2 is only the first ...
Other editions - View all
Common terms and phrases
3m²e accelerating forces Algebra angle angular velocity annual equation anomaly apogee apse line astronomers attraction bodies BROOKE FOSS WESTCOTT calculated Cambridge centre cloth coefficient considered correct cos2 Crown 8vo determined differential equations distance disturbing force E-Ma E+Ma earth eccentricity ecliptic ELEMENTARY TREATISE elliptic inequality epicycle equal evection expression Fcap fixed plane fourth order h²u³ higher order Hipparchus hu³ integration John's College Lunar Theory MACMILLAN AND CO'S Mathematical mean anomaly mean longitude mean motion mean value method moon moon's mean moon's motion moon's orbit nearly neglected Newton node numerous observations obtained order of approximation parallax particle perigee periodical terms position Ps-S Ptolemy quadrature quantity radius vector revolution Schools Second Edition second order shew sidereal month sin2 solution sphere student substituted syzygy third order true anomaly true longitude Tycho variation že²
Popular passages
Page 10 - MORGAN — A COLLECTION OF PROBLEMS AND EXAMPLES IN MATHEMATICS. With Answers. By HA Morgan, MA, Sadlerian and Mathematical Lecturer of Jesus College, Cambridge.
Page 5 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Page 9 - THE FIRST THREE SECTIONS of NEWTON'S PRINCIPIA. With Notes and Illustrations. Also a Collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA, late Fellow of St. John's College, Mathematical Lecturer of King's College, Cambridge.
Page 22 - WILSON — THE BIBLE STUDENT'S GUIDE to the more Correct Understanding of the English Translation of the Old Testament, by reference to the original Hebrew. By WILLIAM WILSON, DD, Canon of Winchester, late Fellow of Queen's College, Oxford. Second Edition, carefully revised. 410. cloth. 25*. YONGE (CHARLOTTE M.)— SCRIPTURE READINGS FOR SCHOOLS AND FAMILIES. By CHARLOTTE M. YONGE, Author of "The Heir of Redclyffe.
Page 2 - CICERO— THE SECOND PHILIPPIC ORATION. From the German of Karl Halm. Edited, with Corrections and Additions, by JOHN EB MAYOR, Professor of Latin in the University of Cambridge, and Fellow of St.
Page 21 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Page 19 - THE ELEMENTS OF GRAMMAR TAUGHT IN ENGLISH, With Questions. Fourth Edition. i8mo. 2s. THE CHILD'S GRAMMAR. Being the Substance of "The Elements of Grammar taught in English," adapted for the Use of Junior Classes.
Page 4 - Thucydides. — THE SICILIAN EXPEDITION. Being Books VI. and VII. of Thucydides, with Notes. A New Edition, revised and enlarged, with a Map. By the Rev. PERCIVAL FROST, MA. late Fellow of St. John's College, Cambridge. Fcap. 8vo.
Page 5 - HELLENICA; OR, A HISTORY OF GREECE IN GREEK, as related by Diodorus and Thucydides ; being a First Greek Reading Book, with explanatory Notes, Critical and Historical.
Page 20 - PROCTER— A HISTORY OF THE BOOK OF COMMON PRAYER, with a Rationale of its Offices. By FRANCIS PROCTER, MA Thirteenth Edition, revised and enlarged. Crown 8vo. loг. 6d. PROCTER AND MACLEAR— AN ELEMENTARY INTRODUCTION TO THE BOOK OF COMMON PRAYER.