Memoir on the Secular Variations of the Elements of the Orbits of the Eight Principal Planets, Mercury, Venus, the Earth, Mars, Jupiter, Saturn, ... Obliquity of the Ecliptic, and the Precession - Tapa blanda

Sinopsis

Excerpt from Memoir on the Secular Variations of the Elements of the Orbits of the Eight Principal Planets, Mercury, Venus, the Earth, Mars, Jupiter, Saturn, Uranus, and Neptune: With Tables of the Same; Together With the Obliquity of the Ecliptic, and the Precession of the Equinoxes in Both Longitude and Right Ascension

The reciprocal gravitation of matter produces disturbances in the motions of the heavenly bodies, causing them to deviate from the elliptic paths which they would follow, if they were attracted only by the sun. The determination of the amount by which the actual place of a planet deviates from its true elliptic place at any time is called the problem of planetary perturbation. The analytical solution of this problem has disclosed to mathematicians the fact that the inequalities in the motions of the heavenly bodies are produced in two distinct ways. The first is a direct disturbance in the elliptic motion of the body; and the second is produced by reason of a variation of the elements of its elliptic motion. The elements of the elliptic motion of a planet are six in number, viz: the mean motion of the planet and its mean distance from the sun, the eccentricity and inclination of its orbit, and the longitude of the node and perihelion. The first two are invariable° the other four are subject to both periodic and secular variations.

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