"It was not until 1748 that any computation of the perturbations of Jupiter and Saturn, in accordance with the theory of gravitation, was undertaken. This was by . He appears to have limited himself to the terms which have the mean elongation of the planets of the planets from each other as their argument. Later the terms factored by the simple power of the eccentricities were added by himself, , , , and . But these terms not bringing about a reconciliation between observation and theory, and were led to make their notable researches on the possibility of secular equations in the mean motions of the planet. At length the whole difficulty with Jupiter and Saturn was removed by discovery of the great inequalities in 1786. almost immediately constructed tables which far exceeded in accuracy any previously possessed. They are those that appear in the third edition of Astronomie."
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George William Hill
George William Hill (March 3, 1838 – April 16, 1914) was an American astronomer and mathematician, who won the Royal Society's Copley Medal in 1909.
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