The subseismic equation and boundary conditions - Earth Dynamics: Deformations and Oscillations of the Rotating Earth - page 444

ective internal load Love numbers and equivalent
rigid-boundary radii found under the subseismic approximation at
period 4.0 hr, with azimuthal number m

Tabl e 7 . 2 E ff

= 1 , for Earth model Cal8.

h n h n n a n (km) b n (km)

0 0.0 0.137979 2804.0

1 − 19.015768 − 303.2 0.111106 3518.3

2 − 0.115485 1233.5 0.213218 3212.8

3 − 0.070219 1223.0 0.154227 3341.4

4 − 0.052138 1219.9 0.104171 3408.7

5 − 0.041878 1218.5 0.075792 3438.9

6 − 0.035135 1217.8 0.059770 3453.8

7 − 0.030323 1217.3 0.049913 3462.2

8 − 0.026700 1217.0 0.043242 3467.6

9 − 0.023865 1216.8 0.038357 3471.2

10 − 0.021583 1216.7 0.034567 3473.8

11 − 0.019705 1216.5 0.031507 3475.8

12 − 0.018131 1216.5 0.028969 3477.3

13 − 0.016792 1216.4 0.026821 3478.5

14 − 0.015638 1216.3 0.024976 3479.5

15 − 0.014634 1216.3 0.023372 3480.3

16 − 0.013752 1216.3 0.021965 3480.9

17 − 0.012970 1216.2 0.020719 3481.5

−

18 0.012273 1216.2 0.019609 3482.0

−

19 0.011647 1216.2 0.018614 3482.4

−

20 0.011083 1216.2 0.017716 3482.7

21 − 0.010570 1216.2 0.016901 3483.0

22 − 0.010103 1216.1 0.016160 3483.3

23 − 0.009676 1216.1 0.015482 3483.5

load Love number, h 1 , given in relation (7.62). The coe cients of this relation are

computed to be

10 − 3 10 − 3 10 − 3

a =

×

, b =−

×

, c =−

×

5.5807 5.5804 85.84 . (7.63)

The coe cients a and b are nearly equal in magnitude but opposite in sign,

indicating that the motion of the inner core is closely a pure translation for
azimuthal number m = 1.