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 14
... period and to a degree of approximation far beyond that to which we shall carry our investigations , be considered as fixed and coinciding with its position at present . 15. The centre of gravity of the earth and moon describes ...
... period and to a degree of approximation far beyond that to which we shall carry our investigations , be considered as fixed and coinciding with its position at present . 15. The centre of gravity of the earth and moon describes ...
Σελίδα 36
... period of the 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 ...
... period of the 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 ...
Σελίδα 43
... period of moon about earth period of sun about earth = Ρ but , since the instantaneous ellipses are nearly circles , we have , as in Art . ( 24 ) , ( period of moon about earth ) " ( period of sun about earth ) " therefore if a be ...
... period of moon about earth period of sun about earth = Ρ but , since the instantaneous ellipses are nearly circles , we have , as in Art . ( 24 ) , ( period of moon about earth ) " ( period of sun about earth ) " therefore if a be ...
Σελίδα 46
... period is nearly the same as that of the moon , produces important effects in the radius vector ; and a force whose period is very long will be important in its effect on the longitude . See Airy's Tracts , Planetary Theory , p . 78 ...
... period is nearly the same as that of the moon , produces important effects in the radius vector ; and a force whose period is very long will be important in its effect on the longitude . See Airy's Tracts , Planetary Theory , p . 78 ...
Σελίδα 58
... period , may be considered as cancelling themselves in adding up the terms of each set . Let there be r terms in the first set and s terms in the second , and let V ' , V " , ...... V ' be the values of V corresponding to positive ...
... period , may be considered as cancelling themselves in adding up the terms of each set . Let there be r terms in the first set and s terms in the second , and let V ' , V " , ...... V ' be the values of V corresponding to positive ...
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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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