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" The center of gravity of the Earth and Moon describes about the Sun, very nearly, an ellipse in one plane, and the area passed over by its radius vector is very nearly proportional to the time. "
Mathematical Tracts on the Lunar and Planetary Theories: The Figure of the ... - Página 12
de George Biddell Airy - 1842 - 390 páginas
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Calendar

University of Cambridge - 1830 - 554 páginas
...longitude of the perihelion, aud the time of the Earth's passing through it. 7. Prove that the centre of gravity of the Earth and Moon describes about the Sun very nearly an ellipse in one plane, and that the area described by its radius vector is very nearly proportional to the time. 8. Find the horary...
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Mathematical Tracts on the Lunar and Planetary Theories, the Figure of the ...

George Biddell Airy, Sir George Biddell Airy - 1831 - 442 páginas
...discovery of the orbit really described, the following theorem will be useful. 21. PROP. 5. The centre of gravity of the Earth and Moon describes about the...is very nearly proportional to the time. Let E and M, (fig. 1.) be the Earth and Moon, m the Sun ; G the center of gravity of the Earth and Moon ; join...
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Calendar

University of Cambridge - 1831 - 552 páginas
...horizontal axis, the body being acted on by gravity only ; find the pressure on the axis. 5. The centre of gravity of the Earth and Moon describes about the...radius vector is very nearly proportional to the time. 6. Determine the aberration of a pencil of parallel rays refracted directly through a double convex...
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A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

John Martin Frederick Wright - 1831 - 282 páginas
...How does it appear that Saturn's ring cannot be a connected and rigid body ? 18. The common centre of gravity of the Earth and Moon describes about the...radius vector is very nearly proportional to the time [Airy's Tracts]. 19. Prove that if all particles of matter attract each other with forces inversely...
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New Series of The Mathematical Repository, Volumen 6

Thomas Leybourn - 1835 - 682 páginas
...horizontal axis, the body being acted on by gravity only : find the pressure on the axis. 5. The centre of gravity of the earth and moon describes about the...radius vector is very nearly proportional to the time. 6. Determine the aberration of a pencil of parallel rays refracted directly through a double convex...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 páginas
...constant and acting in parallel lines. Determine the motion of the body. 151 . Prove that the centre of gravity of the earth and moon describes about the sun very nearly an ellipse in one plane, and that the area described by its radius vector is very nearly proportional to the time. 152. Find the...
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The London University Calendar

London univ - 1852 - 358 páginas
...any arc of a parabola in terms of its chord and the focal distances of its extremities. 6. The centre of gravity of the earth and moon describes about the...radius vector is very nearly proportional to the time. 7. In the Lunar Theory, adopting the usual notation, investigate the following approximate values for...
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Mathematical tracts on the lunar and planetary theories [&c.].

sir George Biddell Airy - 1858 - 438 páginas
...It is e2 3e3 --(e- — + &c.) cos(nt+eB) - (|+&c.) cos (2nt+2e-2ty- (^-+&c.) cos (3n<+3e-35)+&c. 1 . LUNAR THEORY. PERTURBATION OF THE EARTH'S MOTION....is very nearly proportional to the time. Let E and .M, (fig. 1) be the Earth and Moon, m the Sun; G the center of gravity of the Earth and Moon ; join...
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Mathematical Tracts on the Lunar and Planetary Theories, the Figure of the ...

George Biddell Airy - 1858 - 436 páginas
...is e2 3es -^-(ey + &c.) cos(nt + eB) - (|+&c.) cos (2n<+2e-2^)- (^-+&c.) cos (3«<+3e-3.B)+&c. j . PERTURBATION OF THE EARTH'S MOTION. 20. IF the Earth,...is very nearly proportional to the time. Let E and M, (fig. 1) be the Earth and Moon, TO' the Sun; G the center of gravity of the Earth and Moon ; join...
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The Cambridge University Calendar

University of Cambridge - 1831 - 510 páginas
...horizontal axis, the body being acted on by gravity only ; find the pressure on the axis. 5. The centre of gravity of the Earth and Moon describes about the...radius vector is very nearly proportional to the time. 6. Determine the aberration of a pencil of parallel rays refracted directly through a double convex...
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