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 v
... obtained were found to agree very nearly with those de- termined by observation , and afforded a remarkable con- firmation of the truth of his great principle ; but the geometrical methods which he had adopted seem inade- quate to so ...
... obtained were found to agree very nearly with those de- termined by observation , and afforded a remarkable con- firmation of the truth of his great principle ; but the geometrical methods which he had adopted seem inade- quate to so ...
Page vii
... obtained in this university , and it is hoped that it may prove of service to the student in his reading for the examination for Honours . In furtherance of this object , one of the chapters ( the sixth ) contains the physical ...
... obtained in this university , and it is hoped that it may prove of service to the student in his reading for the examination for Honours . In furtherance of this object , one of the chapters ( the sixth ) contains the physical ...
Page x
... obtained by Reversion of Series 52 u and s in terms of t 54 Parallax of the Moon 40 41 51 52 53 523 CHAPTER V. NUMERICAL VALUES OF THE COEFFICIENTS . 60 First Method . 61 Second Method . Theoretical Values · 56 · Values deduced by the ...
... obtained by Reversion of Series 52 u and s in terms of t 54 Parallax of the Moon 40 41 51 52 53 523 CHAPTER V. NUMERICAL VALUES OF THE COEFFICIENTS . 60 First Method . 61 Second Method . Theoretical Values · 56 · Values deduced by the ...
Page 3
... obtained will be the same as the disturbance due to the simultaneous action of all the forces . Principle of Superposition of Small Motions . 3. Let a particle be moving under the action of any number of forces some of which are very ...
... obtained will be the same as the disturbance due to the simultaneous action of all the forces . Principle of Superposition of Small Motions . 3. Let a particle be moving under the action of any number of forces some of which are very ...
Page 5
... obtained , and leaves the question in exactly the same state as if they were particles . ( Princip . lib . I. prop . 75. ) Attractions of Spherical Bodies . 6. Let P be a particle situated at a distance OP = a from the centre of a ...
... obtained , and leaves the question in exactly the same state as if they were particles . ( Princip . lib . I. prop . 75. ) Attractions of Spherical Bodies . 6. Let P be a particle situated at a distance OP = a from the centre of a ...
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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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