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 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 ...
Page 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 ...
Page 43
... period of moon about earth period of sun about earth 9 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 9 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 ...
Page 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 ...
Page 58
... period , may be considered as cancelling themselves in adding up the terms of each set . Let there ber terms in the first set and s terms in the second , and let V ' , V " , ...... V ' be the values of V corresponding to positive values ...
... period , may be considered as cancelling themselves in adding up the terms of each set . Let there ber terms in the first set and s terms in the second , and let V ' , V " , ...... V ' be the values of V corresponding to positive values ...
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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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