An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the History of the Problem Up to the Time of NewtonMacmillan, 1859 - 119 σελίδες |
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Σελίδα v
... inequalities . The results he 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 ...
... inequalities . The results he 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 ...
Σελίδα vii
... the several inequalities and of the methods by which they were represented , those only being See the Report of the " Board of Mathematical Studies " for 1850 . mentioned which , as the theory has since verified , PREFACE . vii.
... the several inequalities and of the methods by which they were represented , those only being See the Report of the " Board of Mathematical Studies " for 1850 . mentioned which , as the theory has since verified , PREFACE . vii.
Σελίδα x
... Inequality 99 Secular Acceleration • 100 Inequalities depending on the figure of the Earth 102 Perturbations due to Venus 103 Motion of the Ecliptic 104 Note on the numerical Values of the Coefficients 61 71 76 78 • 81 82 84 86 • 87 89 ...
... Inequality 99 Secular Acceleration • 100 Inequalities depending on the figure of the Earth 102 Perturbations due to Venus 103 Motion of the Ecliptic 104 Note on the numerical Values of the Coefficients 61 71 76 78 • 81 82 84 86 • 87 89 ...
Σελίδα 36
... inequality denoted by it would ' be of great length ; then , whatever might be the value of the co- ' efficient a , the inequality would still be always confined within certain ' limits , and after many ages would return to its former ...
... inequality denoted by it would ' be of great length ; then , whatever might be the value of the co- ' efficient a , the inequality would still be always confined within certain ' limits , and after many ages would return to its former ...
Σελίδα 37
... inequality , and that a really periodical function , from the effect ' of an imperfect approximation , would appear under the form of one ' not periodical ... .These terms in the value of u , when they " occur , are not superfluous ...
... inequality , and that a really periodical function , from the effect ' of an imperfect approximation , would appear under the form of one ' not periodical ... .These terms in the value of u , when they " occur , are not superfluous ...
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accelerating forces Algebra angle angular velocity annual equation apogee approximation apse line argument astronomers attraction Author has endeavoured body calculated CAMBRIDGE CLASS BOOKS centre chapter cloth coefficient Collection of Examples connexion considered correction cos2 Crown 8vo determine differential equations distance disturbing force E-Ma E+Ma earth eccentricity ecliptic elliptic inequality epicycle equal evection expression fixed plane h2u³ higher order Hipparchus inclination ISAAC TODHUNTER John's College late Fellow Latin latitude Lunar M.A. Fellow mean motion mean place mean value method moon moon's mean longitude moon's motion moon's orbit nearly node numerous Examples observations obtained octants order of approximation particle perigee periodical terms position Ps-S Ptolemy quadrature quantity radius vector revolution Schools Second Edition second order shew sidereal month solution sphere student syzygy Theory third order tions true anomaly true longitude Tycho Brahé V₁ variation že²
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