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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accelerating according action angle angular velocity applied approximation apse argument assume astronomers attraction becomes bodies calculated called Cambridge carried centre CHAPTER coefficient College combined consider constant contains correction corresponding cos2 described determine differential equations direction discovery distance disturbing force earth eccentricity ecliptic Edition effect epicycle equal evection examine explain expression fixed fourth give given Hence higher order important inclination increased inequality instant integration introduced known latitude longitude Lunar mass mean method month moon moon's orbit motion moving nearly necessary neglected Newton node observation obtained particle period plane position present principle problem produced quadrature quantity radius vector referred represented retained second order solution sphere substituted sufficient sun's suppose syzygy theory third order true uniform University variation whole
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