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Unformatted text preview: s = h(del-H) = h(-W/g) then h is independent of r and psi and is called the Love Number . The liquid surface remains an equipotential. On a solid surface there is an additional potential due to the deformation of the earth and the consequent redistribution of the mass. We expectthis to be proportional to W(r,P) - say kW. k is another Love number. A liquid surface covering the globe would remain ring the globe would remain an equipotential and be lifted (1+k)W/g relative to the centre of the earth,or (1+k-h)W/g relative to the sea bed. We can measure h and k by observing g at the surface. Variations of g g = g [1-(2W/rg )(1 - 3h/2 + k)] W is at the surface a semi-diurnal variation in g pf c. 2 in 10 7 . Changes in g of 1 in 10 10 or 1 in 10 11 can be measured. (1 + 3h/2 + k) is c. 1.1 to 1.26%. Vertically (1 + k - h) = 0.54 - 0.82. This then gives k = 0.28 and h = 0.6. Thus the rise and fall of the earth's surface is half that of the ocean - several metres!...
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This note was uploaded on 12/15/2011 for the course AST AST1002 taught by Professor Emilyhoward during the Fall '10 term at Broward College.
- Fall '10