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 89 99 Secular Acceleration 91 100 Inequalities depending on the figure of the Earth 102 Perturbations due to Venus 92 93 103 Motion of the Ecliptic 104 Note on the numerical Values of the Coefficients 94 97 Art . CHAPTER VIII ...
... Inequality 89 99 Secular Acceleration 91 100 Inequalities depending on the figure of the Earth 102 Perturbations due to Venus 92 93 103 Motion of the Ecliptic 104 Note on the numerical Values of the Coefficients 94 97 Art . CHAPTER VIII ...
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 ...
... 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 ...
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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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