An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the History of the Problem Up to the Time of Newton |
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Page vii
... chapters ( the sixth ) contains the physical interpretation of the various important terms in the radius vector ... chapter is a brief historical sketch of the Lunar Problem up to the time of Newton , containing an account of the ...
... chapters ( the sixth ) contains the physical interpretation of the various important terms in the radius vector ... chapter is a brief historical sketch of the Lunar Problem up to the time of Newton , containing an account of the ...
Page viii
... chapter will shew to what extent we are indebted to our great philosopher ; at the same time we cannot fail being impressed with reverence for the genius and perseverance of the men who preceded him , and whose elaborate and multiplied ...
... chapter will shew to what extent we are indebted to our great philosopher ; at the same time we cannot fail being impressed with reverence for the genius and perseverance of the men who preceded him , and whose elaborate and multiplied ...
Page ix
... CHAPTER I. INTRODUCTION . 1 Newton's Law of Universal Attraction 3 Principle of Superposition of Small Motions 6 Attractions of Spherical Bodies CHAPTER II . MOTION RELATIVE TO THE EARTH . 10 Problem of Two Bodies 14 Problem of Three ...
... CHAPTER I. INTRODUCTION . 1 Newton's Law of Universal Attraction 3 Principle of Superposition of Small Motions 6 Attractions of Spherical Bodies CHAPTER II . MOTION RELATIVE TO THE EARTH . 10 Problem of Two Bodies 14 Problem of Three ...
Page x
... CHAPTER V. NUMERICAL VALUES OF THE COEFFICIENTS . 60 First Method . 61 Second Method . Theoretical Values · 56 · Values deduced by the Solution of a large number of simultaneous Equations . · ib . ་ ་ 62 Third Method . Independent ...
... CHAPTER V. NUMERICAL VALUES OF THE COEFFICIENTS . 60 First Method . 61 Second Method . Theoretical Values · 56 · Values deduced by the Solution of a large number of simultaneous Equations . · ib . ་ ་ 62 Third Method . Independent ...
Page xi
... CHAPTER VIII . HISTORY OF THE LUNAR PROBLEM BEFORE NEWTON . 109 Description of the Eccentric and the Epicycle 112 Hipparchus's mode of representing the Motion of the Apse 113 Substitution of the Elliptic for the Circular Orbit 114 ...
... CHAPTER VIII . HISTORY OF THE LUNAR PROBLEM BEFORE NEWTON . 109 Description of the Eccentric and the Epicycle 112 Hipparchus's mode of representing the Motion of the Apse 113 Substitution of the Elliptic for the Circular Orbit 114 ...
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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
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