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" Mariners 6 and 7 have been used to obtain values for the ratio of the mass of the Earth to that of the Moon which are in substantial agreement with those determined from other Mariner and Pioneer spacecraft. "
Memoirs of the Royal Astronomical Society
by Royal Astronomical Society - 1867
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Monthly Notices of the Royal Astronomical Society, Volume 32

1872 - 412 pages
...referred to that of the Sun as unity. If we admit 8"'8i3 as the value of it as the parallax, we find that the ratio of the mass of the Earth to that of the Sun is -jj-gg--? <r The reduction of ^th, proposed by Encke in the value of the parallax, would lead us...
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Heroes of Science: Astronomers

Edward John Chalmers Morton - 1882 - 372 pages
...the southern one northwards, together producing this additional inclination of 12". From this fact, the ratio of the mass of the earth to that of the mountain could be found. The mountain was then carefully surveyed in order to find its volume, and...
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The Advanced Part of A Treatise on the Dynamics of a System of Rigid Bodies ...

Edward John Routh - 1884 - 368 pages
...so that, if M" be the mass of the moon, R'0 the mean distance, we have (M" + M}jR'* = ?i"2. Let v be the ratio of the mass of the earth to that of the moon, then M" (1 + v)/R'* = n'"2, and therefore if R' be the distance of the moon the moment of the...
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The Advanced Part of A Treatise on the Dynamics of a System of ..., Volume 2

Edward John Routh - 1884 - 372 pages
...that, if M" be the mass of the moon, JR'0 the mean distance, we have (M" + M*)/R'* — n"*. Let v be the ratio of the mass of the earth to that of the moon, then M" (1 + v)/R'* = n"2, and therefore if R' be the distance of the moon the moment of the...
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Advanced Physiography

John Thornton (M.A.) - 1890 - 372 pages
...average density. The two would then give the mountain's mass, and the problem then was to estimate the ratio of the mass of the earth to that of the mountain so that the latter could produce this deflection of 6" in the plumbline. By this means the...
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The Solar System: A Study of Recent Observations

Charles Lane Poor - 1908 - 358 pages
...attractions and making allowance for the different distances of the attracting bodies from the small ball, the ratio of the mass of the earth to that of the large lead ball can be found, and thence the density of the earth. Cavendish found the mean density...
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Monthly Notices of the Royal Astronomical Society, Volume 70

Royal Astronomical Society - 1910 - 1030 pages
...IX. Our definitive result is therefore ioo/i= +-0851-048. § 1 6. The Moss of the Moon. — Let E be the ratio of the mass of the Earth to that of the Moon, adopted in the computation of the lunar equation. AE the correction to this value required by...
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Astronomy in a Nutshell: The Chief Facts and Principles Explained in Popular ...

Garrett Putman Serviss - 1912 - 332 pages
...be compared with the force of the earth's attraction which produces the weight of the ball, and thus the ratio\ of the mass of the earth to that of the ball is determined. The total mass of the earth has been found to be equivalent to a\" weight" of about...
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An Introduction to Astronomy

Forest Ray Moulton - 1916 - 644 pages
...the earth and moon from the center of the earth is 2886 miles. Now consider the problem of finding the ratio of the mass of the earth to that of the moon. In Fig. 74 let E represent the earth, C the center of gravity of the earth and moon, and M the...
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Astronomy: A Revision of Young's Manual of Astronomy, Volume 1

Henry Norris Russell, Raymond Smith Dugan, John Quincy Stewart - 1926 - 514 pages
...planet Eros, on the principle of method (1). He summarizes the results of various determinations of the ratio of the mass of the earth to that of the moon as follows : Newcomb, from observations of the sun and planets, 81.48± 0.20 Newcomb, from the...
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