 | Forest Ray Moulton - 1902 - 414 síður
...reverse one of finding the orbit when the law of force is given. ) 55. Derivation of Newton's Law. In the early part of the seventeenth Century Kepler announced...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 - 1906 - 610 síður
...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... | |
 | Percey Franklyn Smith, William Raymond Longley - 1910 - 312 síður
...radius vector of each planet with respect to the sun as origin sweeps over equal areas in equal times. II. The orbit of each planet is an ellipse with the sun at afocus. III. The square of the period of revolution is proportional to the cube of the major semiaxis.... | |
 | George Vincent Leahy - 1910 - 296 síður
...**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 - 672 síður
...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 - 284 síður
...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 mean distances from the sun. To... | |
 | Harold Jacoby - 1913 - 526 síður
...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 - 1925 - 674 síður
...intervals of time, whatever their length. This is known as the law of areas. II. The orbit of every planet is an ellipse with the sun at one of its foci. Fio. 86. — Johann Kepler. III. The squares of the periods of any two planets are proportional to... | |
 | 1916 - 574 síður
...vector of each planet with respect to the sun as the origin sweeps over equal areas in equal times. (2) The orbit of each planet is an ellipse with the sun at one of its foci. (3) The squares of the periods of the planets are to each other as the cubes of the semi-major axes... | |
 | John Barkley Rosser American Mathematical Society Cornell University - 1966 - 316 síður
...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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Kepler's laws of planetary motion: 1. The orbit of each planet is an ellipse with the Sun at one of its foci. 
