Asymptotic Determination of Fluid Love Numbers (hf , kf , lf ) of the Earth and Advance in Their Analytical Determination

With gradual stepwise reduction in rigidity of the Earth model, the three fluid Love numbers of the Earth were determined as; (h_f, k_f , l_f ) = (1.935, 0.935, 1.07) for PREM and (h_f, k_f , l_f ) = (1.937, 0.937, 1.07) for ak135-F Earth models. Also analytical evaluation of the Earth’s secular Love number as well as fluid Love number, originally defined by Munk and MacDonald, were made by using updated Earth’s physical property and minor enhancement in the formulation. The permanent tide of the Earth was calculated as follows: the vertical displacement is 0.1924m at the equator and -0.3801m at the pole, while the horizontal displacement is 0.317m at the mid latitude.