An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the History of the Problem Up to the Time of NewtonMacmillan, 1853 - 103 |
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2e sin cpt 3m²e angle angular velocity annual equation anomaly apogee apse line astronomers attraction bodies calculated Cambridge central disturbing force centre cloth coefficient College considered correction cos(c Crown 8vo determine differential equation discovery distance E-Ma E+Ma earth eccentric ecliptic Edition effect elliptic inequality epicycle equal Euclid's Elements evection expression fourth order h²u³ Hence higher order Hipparchus hu³ hypothesis inclination introduced latitude Lunar Theory mean angular mean motion mean place mean value moon moon moves moon's longitude moon's motion moon's orbit nearly neglected Newton node numerous observation obtained octants order of approximation parallax perigee periodical terms position Ptolemy Ptolemy's quadrature quantity radius vector revolution second order shew sidereal month sin(g sin2 solution Substituting suppose supposition syzygy third order true anomaly true longitude U₁ variation že² ᏧᎾ
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