"That the squares of the periodic times are proportion to the cubes of the major-axes. These laws were discovered by Kepler from observations made on Mars and stated by analogy as general laws, which, although not rigidly true, are sufficiently near to the truth to have led to the discovery of the law of attraction of the bodies of the solar system. The deviation from complete accuracy is due to the facts, that the planets are not of inappreciable mass, that, in consequence, they disturb each other's orbits about the Sun, and, by their action on the Sun itself, cause the periodic time of each to be shorter than if the Sun were a fixed body, in the subduplicate ratio of the mass of the Sun to the sum of the masses of the Sun and Planet; these errors are appreciable although very small, since the mass of the largest of the planets, Jupiter, is less than 1/1000th of the Sun's mass."
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Original Language: English
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Sources
Sir Isaac Newton in: Newton's Principia, sect. i., ii., iii., [tr. with notes, also a collection of problems, by P. Frost], 1854, p. 208-09
https://en.wikiquote.org/wiki/Planet
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