| Forest Ray Moulton - 1902 - Страниц: 414
...each planet with respect to the sun as the origin, sweeps over equal areas in equal times. LAW II. The orbit of each planet is an ellipse with the sun at one of its foci. t LAW III. The squares of the periods of the planets are to each other as the cubes of the major semi—axes... | |
| Forest Ray Moulton - 1902 - Страниц: 412
...each planet with respect to the sun as the origin, sweeps over equal areas in equal times. LAW II. The orbit of each planet is an ellipse with the sun at one of its foci. LAW III. The squares of the periods of the planets are to each other as the cubes of the major semi-axes... | |
| Joseph Ames - 1904 - Страниц: 782
...equal areas are described in equal intervals of time. (2) The orbit of a planet is an ellipse, having the sun at one of its foci. (3) The squares of the periods of different planets are proportional to the cubes of the major axes of their orbits. Newton showed that... | |
| Forest Ray Moulton - 1906 - Страниц: 610
...Kepler are contained in his following three laws of planetary motions : — LAW I. The orbit of every planet is an ellipse with the sun at one of its foci. LAW II. Every planet moves so that the radius from the tun to it sweeps over equal areas in equal intervals... | |
| George Vincent Leahy - 1910 - Страниц: 296
...**Discovered by Leverrier and Adams in 1846. II. ASTRONOMICAL LAWS. A. Kepler's Laws of Planetary Motion: 1. The orbit of each planet is an ellipse, with the sun at one focus. 2. The radius vector of the ellipse, ie the line from the sun to the planet, describes equal... | |
| Silas Ellsworth Coleman - 1911 - Страниц: 672
...because it was more or less inconsistent with observation," at last discovered that the orbit of a planet is an ellipse, with the sun at one of its foci (Fig. 122). This is Kepler's first law of planetary motion. Further years of labor brought as their... | |
| Forest Ray Moulton - 1912 - Страниц: 284
...sweeps over equal areas in equal intervals of time, whatever their length. LAW II. The orbit of every planet is an ellipse with the sun at one of its foci. LAW III. The squares of the periods of any two planets are to each other as the cubes of their respective... | |
| Harold Jacoby - 1913 - Страниц: 526
...the present day, Kepler's three laws of planetary motion; and they may be formulated as follows : 1. The orbit of each planet is an ellipse, with the sun at the focus of the curve. 2. The radius vector of each planet passes over equal areas in equal times.... | |
| Forest Ray Moulton - 1914 - Страниц: 464
...of each planet with respect to the sun as the origin sweeps over equal areas in equal times. LAW II. The orbit of each planet is an ellipse with the sun at ant of its foci. LAW III. The squares of the periods of the planets are to each other as the cubes... | |
| John Barkley Rosser American Mathematical Society Cornell University - 1966 - Страниц: 316
...to one, see [ 3] . 2.4. Miscellaneous Properties. Kepler's three laws of planetary motion are: (1) The orbit of each planet is an ellipse, with the Sun at one of its foci. (Actually "Keplerian motion" is often now taken to include parabolic and hyperbolic motion, so that... | |
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