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Hill was the first to use infinite determinants to study the orbit of the Moon (1877). He also developed a theory of the orbits of Jupiter and Saturn. His most important work dealt with the gravitational effects of the planets on the Moon's orbit.
Hill became a Fellow of the Royal Society (1902) receiving its Copley Medal in 1909. He was president of the American Mathematical Society from 1894 to 1896.
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Tell me about Hill's work on orbits and gravitation
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