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Table 1

Comparison of analytic model and simulation for an observer inside a local spherical structure (rv<Rv) with constant density contrast δ.

r v R v δ d s Error
(10-2) (10-2) %

0.1 0.1 −1 0.12 0.13 8, 7
0.1 0.2 −1 0.39 0.41 2, 8
0.2 0.3 −1 1.69 1.71 1, 3
0.2 0.4 −1 3.25 3.28 0, 9
0.4 0.4 −1 5.47 5.47 0, 0
0.1 0.1 −0.5 0.10 0.11 10, 1
0.1 0.2 −0.5 0.21 0.17 20, 2
0.2 0.3 −0.5 0.84 0.84 0, 2
0.2 0.4 −0.5 1.57 1.54 2, 1
0.4 0.4 −0.5 2.65 2.68 1, 3
0.1 0.1 1 0.12 0.13 5, 7
0.1 0.2 2 0.75 0.76 1, 4
0.2 0.3 4 5.92 5.89 0, 5
0.2 0.4 5 11.52 11.50 0, 1
0.4 0.4 7 24.75 24.70 0, 2

Notes. The analytically calculated dipole is denoted by . Each simulated dipole amplitude ds is an average of 10 simulations with N = 106 sources each; the error is defined as .

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