In previous reports, the author performed the observations of tidal strain of the earth's surface in some or several directions by means of the extensometers at Osakayama observatory, Kishu mine and Matsushiro observatory, and obtained the tide-constituent (M
2, O
1 etc.) of the observed strains.
According to the results, the phase lags of M
2- constituent are nearly zero, and the upper and lower limit of them are 43° and 29° respectively. That is the coefficients of cos 2t-term are the positive values in all the azimuths, and the coefficients of sin 2t-term are far smaller than the ones of cos 2t-term, where t is an hourly angle of the hypothetical heavenly body at the observatories. And so, it is most probable that the secondary effect (due to the oceanic tide) is far smaller than the primary effect (due to the astronomical tide), and also the Love's number h is more than about five times of Shida's number
l.
Now, the precise observations of the tidal strains in the prime vertical and in the meridional directions have been performed once more with heighly sensitive extensometers of which sensitivities are 0.37×10
-8/mm and 0.57×10
-8/mm respectively at Osakayama.
From the present observations, the value of
h-3
l, relating to areal strain is obtained as follow
h-3
l= 0.448 ± 0.003
And the amplitude ratio of O
1-costituent vs. M
2-constituent are obtained as follows
(O
1/M
2)
φφ=0.85 in the prime vertical direction,
and (O
1/M
2)
θθ = 0.48 in the meridional direction.
If the secondary effect is as large as the primary effect, the ratio of amplitude, (O
1/M
2)
φφ and (O
1/M
2)
θθ should be almost equal to each other. But, on the contrary, both ratios are widely different each other. Hence we may neglect the secondary effect against the primary effect in the following process to calculate the tidal constants. The propriety of the result is shown by the comparison of the strains due to the Chile tsunami at Kishu and Osakayama. And the amplitude of M
2-costituent of the eθθcomponent vs. one of the eφφ-component is obtained as follow
(eθθ/eφφ)
M2 =1.69,
where eθθ and eφφ are the strain components in meridional and in the prime vertical directions respectively. From these results, the ratios of h and l are calculated as follows h =11.1
l from (O
1/M
2)
φφand h =10.6
l from (eθθ/eφφ)
M2 And from the value of
h-3
l and the ratio (O
1/M
2)
φφ the value of constant
h and
l are, calculated at 0.618 and 0.056 respectively.
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