+---------+---------------+-------------+-----------+----------------+ | | Mean dist. | | Square |No. of rotations| |Planet's | from the sun | Mars. | root of | in one sid. | | name. | in miles. | | Mars. | period. | +---------+---------------+-------------+-----------+----------------+ |Mercury, | 36,814,000 | 277,000 | 526·3 | 87·63 | |Venus, | 68,787,000 | 2,463,836 | 1·569·6 | 230·90 | |Earth, | 95,103,000 | 2,817,409 | 1·678·5 | 366·25 | |Mars, | 144,908,000 | 392,735 | 626·7 | 669·60 | |Jupiter, | 494,797,000 | 953,570,222 | 30·879·8 | 10·471·00 | |Saturn, | 907,162,000 | 284,738,000 | 16·874·1 | 24·620·00 | |Uranus, | 1,824,290,000 | 35,186,000 | 5·931·5 | | +---------+---------------+-------------+-----------+----------------+ From these data he deduces the following law:--"The square of the number of a primary planet's days in its year, is as the cube of the diameter of its sphere of attraction in the nebular hypothesis." "The points of equal attraction between the planets severally (when in conjunction), are situated as follows:-- Miles from the Miles from the former. latter. Between Mercury and Venus, 8,029,600 23,943,400 " Venus and the Earth, 12,716,600 13,599,400 " Earth and Mars, 36,264,600 13,540,400 " Jupiter and Saturn, 266,655,000 145,710,000 " Saturn and Uranus, 678,590,000 238,538,000 "It will be seen from the above, that the diameter of the earth's sphere of attraction is 49,864,000 miles. Hence the diameters of the respective spheres of attraction of the other planets, according to my empirical law, will be found to be as follows:-- Diameter of sphere of Attraction. Mercury, 19,238,000 Venus, 36,660,000 Mars, 74,560,000 Jupiter, 466,200,000 Saturn, 824,300,000