.... 2 ' V - sin t rnIZ ' -l_ 1 N hence — - 1 = - - - = D (n + 1), suppose ; and This determines w, that is, the ratio of the mass of the Earth to the mass of the Moon. If we calculate the values of C and 2" T D with the values of t, — , and — , already given, n + l= rx 47,52- 177,56....

.../ 3 . , \ T2 1 sm % \ \ 2 ) a T°~(n+l) hence — — l = — = D (n + 1), suppose ; bC T2fl--sin " This determines n, that is, the ratio of the mass...the Earth to the mass of the Moon. If we calculate the values of C and 7* T D with the values of i, — , and — , already given, n+l = -.47,52 — 177,56....

...precessional movement. How will the amount of precession, as deduced from observation, aid in determining the ratio of the mass of the Earth to the mass of a pound weight ? 7. What is meant by secular variations of planetary elements ? Shew how to find the...

...M' * -=-= =319824,* the ratio of the mass of the Sun to the •"* mass of the Earth. ^ = X = 81'5, the ratio of the mass of the Earth to the •"* mass of the Moon. Number of seconds in the mean annual Solar Precession = 2w x 206265 x ^ = 2w x 206265 xf - . ~ cosw...

...the ratio of the attraction of the sphere and cone to that of the sphere alone, and from this we get the ratio of the mass of the earth to the mass of the mountain. Such a determination was carried out by Mendenhall, on Fujiyama, Japan, in 1880, giving 5.77...

...about their common centre of gravity. This third datum cannot be calculated without knowing accurately the ratio of the mass of the earth to the mass of the moon. All of the calculations used the value 83 to represent this ratio. The sun's distance was found from...

...±o* -005. The value of the solar parallax derived in this way is dependent upon the value assumed for the ratio of the mass of the Earth to the mass of the Moon, but this ratio is now known with sufficient accuracy for its effect on the solar parallax to be practically...

...equilibrium tide. — Assigning to the constants in equation (16) their numerical values, the ratio, M/E, of the mass of the earth to the mass of the moon is 1/81.45; a, the mean radius of the earth, 3,959 statute miles; R, the mean distance to the moon,...

...equilibrium tide. — Assigning to the constants in equation (16) their numerical values, the ratio, M/E, of the mass of the earth to the mass of the moon is 1/81.45; a, the mean radius of the earth, 3,959 statute miles; R, the mean distance to the moon,...

...equilibrium tide. — Assigning to the constants in equation (16) their numerical values, the ratio, M/E, of the mass of the earth to the mass of the moon is 1/81.45; a, the mean radius of the earth, 3,959 statute miles; R, the mean distance to the moon,...