In 1958, Prof. I. Tsubokawa proposed a gravity meter with three strings intersecting at right angles to one another as shown in Fig. 1. The principle of measurement is as follows [1]. Let the components of gravity along three strings be
g1,
g2 and
g3, and the frequencies of the strings 1, 2 and 3 be
f1,
f2 and
f3 respectively, then
g2=
g12+
g22+
g32 g1=
a1f12,
g2=
a2f22,
g3=
a3f32}(1)
where
a1,
a2 and
a3 are the coefficients which depend on the dimentions, linear density and elasticity of the strings and the weight. Let the respective angles between the strings be α
12, α
23 and α
31, where α
12=90°-ε
12, α
23=90°-ε
23 and α
31=90°-ε
31.
g=√
a12f14+
a22f24+
a32f34+2
a1a2f12f22sinε
12+2
a2a3f22f32sinε
23+2
a3a1f32f12sinε
31 (2)
We assume construction accuracies of gravity meter as follows;
1) ε
12, ε
23, ε
31<1×10
-3 2)
a1,
a2 and
a3 are equal in the accuracy of 1×10
-3 By integration Eq. (2) from time O to T, the value of the gravity difference between the starting and observation stations Δ
g can be expressed as
The suffix 0 corresponds to the starting station and s the observation station. In this equation, gh is the horizontal acceleration due to the ship's movement and the last term is the Eötvös correction, in which V is the speed of the ship in knot, ψlatitude and A the azimuth of the course. Gravity survey was carried out on the sea around Japan during the period from April to June in 1969 on the board "Hakuhop-maru" belonging to the Ocean Research Institute, the University of Tokyo. The ships' tracks are shown in Fig. 4 with profile No. of gravity anomaly. The plofiles of free air and Bouguer anomalies are shown in P. 1-17 with bottom topography.
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