 | George Biddell Airy - Astronomy - 1866 - 318 pages
...be that proportion of the orbit which is described in one hour, we found the length of the line mN through which the earth's attraction pulls the moon...same as the proportion of the mass of the moon to the masi-f of the earth. All these different methods agree very well in giving the result that the mass... | |
 | George Biddell Airy - Astronomy - 1866 - 318 pages
...the opposite problem ; knowing the length of the line through which tho earth's attraction pulls tho moon in one hour, we have to find what is the length...GM is the same as the proportion of the mass of the moou to the mass of the earth. All those different methods agree very well in giving the result that... | |
 | George Biddell Airy - Astronomy - 1868 - 354 pages
...moon in one hour. Here in Figure 65, we have the opposite problem ; knowing the length of the lino through which the earth's attraction pulls the moon...giving the result that the mass of the moon is about 10 of the earth's mass. And when this mass, and the known mass of the sun, are used in combination... | |
 | William James Rolfe, Joseph Anthony Gillet - Astronomy - 1868 - 328 pages
...motion of the earth can be found. Draw a line from E to M, and in this line take the point G, so that the proportion of EG to GM is the same as the proportion of the weight of M to the weight of E; or so that if JE and M were like two balls fastened upon the ends of... | |
 | Royal Astronomical Society - Astronomy - 1911 - 870 pages
...gravitational method is — a,3 . , i «2c -i- sin3 TT = — where TT is the Moon's mean parallax. H the ratio of the mass of the moon to the mass of the Earth. n the Moon's mean motion. n the Earth's mean orbital motion. Oj and <jj the radius of the Earth and... | |
 | James R. Wertz - Technology & Engineering - 1978 - 886 pages
...Constant GM0 Gravitational Constant G Mass of the Moon A/M Mass of the Sun Mass of the Earth Ratio of the Mass of the Moon to the Mass of the Earth Obliquity of the Ecliptic at Epoch 2000 f A/0 A/« Value Uncertainty Units (ppm) 2.4263089 x 10 -|2... | |
 | John L. Greenberg - Science - 1995 - 808 pages
...Euler still showed no signs of being aware of Bernoulli's criticism of Newton's value for the ratio of the mass of the moon to the mass of the earth appearing in Bernoulli's essay on the tides [see Wilson (1980:88-89)]. Daniel Bernoulli discussed the... | |
 | Peter Deuflhard, Folkmar Bornemann - Mathematics - 2002 - 518 pages
...+ M)2 + x\f2 , N2 = ((x, - tf + x*)3/2 , and the data /z = 0.012277471, £ = i-//. The value p, is the proportion of the mass of the moon to the mass of the entire system. The unit of length for the Euclidean norm \x\ is the mean distance between earth and... | |
 | Irene K. Fischer - Earth - 2005 - 398 pages
...mostly on these four constituents: the radius and flattening of the Earth, mean gravity, and the ratio of the mass of the Moon to the mass of the Earth. Since ideas about the magnitudes of these constituents have changed over the years, conclusions drawn... | |
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EG ; and then, as in the last method, the proportion of EG to GM is the same as the proportion of the mass of the moon to the mass of the earth. 