Gravity anomaly simulation: analytical solutions

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choose depth of body : 3.5
pipe with density-contrast at depth 3.5
Wertelistex,g
-12,0.0784
-11.9,0.079617834394904
-11.8,0.080863423328272
-11.7,0.082137588842698
-11.6,0.083441182480757
-11.5,0.08477508650519
-11.4,0.086140215174742
-11.3,0.087537516078319
-11.2,0.088967971530249
-11.1,0.090432600029529
-11,0.091932457786116
-10.9,0.093468640317412
-10.8,0.09504228411824
-10.7,0.096654568407764
-10.6,0.098306716956905
-10.5,0.1
-10.4,0.10173573623453
-10.3,0.10351529491296
-10.2,0.10534009803078
-10.1,0.10721162261509
-10,0.10913140311804
-9.9,0.11110103391983
-9.8,0.1131221719457
-9.7,0.11519653940192
-9.6,0.11732592663538
-9.5,0.11951219512195
-9.4,0.12175728058841
-9.3,0.12406319627304
-9.2,0.12643203632986
-9.1,0.12886597938144
-9,0.1313672922252
-8.9,0.13393833369779
-8.8,0.1365815587022
-8.7,0.13929952240164
-8.6,0.14209488458415
-8.5,0.14497041420118
-8.4,0.14792899408284
-8.3,0.1509736258319
-8.2,0.15410743489747
-8.1,0.15733367582841
-8,0.16065573770492
-7.9,0.16407714974551
-7.8,0.16760158708442
-7.7,0.17123287671233
-7.6,0.17497500357092
-7.5,0.17883211678832
-7.4,0.1828085360394
-7.3,0.18690875801037
-7.2,0.19113746294274
-7.1,0.19549952122566
-7,0.2
-6.9,0.20464416972937
-6.8,0.20943751068559
-6.7,0.21438571928596
-6.6,0.21949471420892
-6.5,0.22477064220183
-6.4,0.23021988348055
-6.3,0.23584905660377
-6.2,0.24166502268692
-6.1,0.24767488879903
-6,0.25388601036269
-5.9,0.26030599235019
-5.8,0.266942689039
-5.7,0.27380420205632
-5.6,0.28089887640449
-5.5,0.28823529411765
-5.4,0.29582226515334
-5.3,0.30366881507189
-5.2,0.31178416899974
-5.1,0.32017773131207
-5,0.32885906040268
-4.9,0.33783783783784
-4.8,0.34712383111363
-4.7,0.3567268491555
-4.6,0.36665668961389
-4.5,0.37692307692307
-4.4,0.38753559000316
-4.3,0.39850357839948
-4.2,0.40983606557377
-4.1,0.42154163799036
-4,0.43362831858407
-3.9,0.44610342316096
-3.8,0.4589733982765
-3.7,0.47224363916731
-3.6,0.48591828639428
-3.5,0.5
-3.4,0.51448971020579
-3.3,0.52938634399308
-3.2,0.54468652734548
-3.1,0.56038426349496
-3,0.57647058823529
-2.9,0.59293320425943
-2.8,0.60975609756097
-2.7,0.62691914022517
-2.6,0.64439768542872
-2.5,0.66216216216216
-2.4,0.68017767906718
-2.3,0.69840364880273
-2.2,0.71679344645991
-2.1,0.73529411764705
-2,0.75384615384615
-1.9,0.77238335435056
-1.8,0.79083279535184
-1.7,0.80911492734478
-1.6,0.82714382174206
-1.5,0.84482758620689
-1.4,0.86206896551724
-1.3,0.87876614060258
-1.2,0.89481373265157
-1.1,0.91010401188707
-1,0.92452830188679
-0.90000000000003,0.93797856049004
-0.80000000000003,0.95034910783553
-0.70000000000003,0.96153846153846
-0.60000000000003,0.97145122918319
-0.50000000000003,0.98
-0.40000000000003,0.98710717163578
-0.30000000000003,0.99270664505672
-0.20000000000003,0.99674532139951
-0.10000000000003,0.99918433931484
-2.5895952049382E-14,1
0.099999999999974,0.99918433931485
0.19999999999997,0.99674532139951
0.29999999999997,0.99270664505673
0.39999999999997,0.98710717163578
0.49999999999997,0.98
0.59999999999997,0.97145122918319
0.69999999999997,0.96153846153846
0.79999999999997,0.95034910783553
0.89999999999997,0.93797856049005
0.99999999999997,0.9245283018868
1.1,0.91010401188708
1.2,0.89481373265157
1.3,0.87876614060259
1.4,0.86206896551725
1.5,0.8448275862069
1.6,0.82714382174207
1.7,0.80911492734479
1.8,0.79083279535184
1.9,0.77238335435057
2,0.75384615384616
2.1,0.73529411764706
2.2,0.71679344645992
2.3,0.69840364880274
2.4,0.68017767906719
2.5,0.66216216216217
2.6,0.64439768542873
2.7,0.62691914022518
2.8,0.60975609756098
2.9,0.59293320425944
3,0.5764705882353
3.1,0.56038426349497
3.2,0.54468652734549
3.3,0.52938634399309
3.4,0.5144897102058
3.5,0.5
3.6,0.48591828639429
3.7,0.47224363916731
3.8,0.45897339827651
3.9,0.44610342316096
4,0.43362831858407
4.1,0.42154163799037
4.2,0.40983606557377
4.3,0.39850357839948
4.4,0.38753559000317
4.5,0.37692307692308
4.6,0.36665668961389
4.7,0.35672684915551
4.8,0.34712383111363
4.9,0.33783783783784
5,0.32885906040269
5.1,0.32017773131208
5.2,0.31178416899975
5.3,0.30366881507189
5.4,0.29582226515335
5.5,0.28823529411765
5.6,0.2808988764045
5.7,0.27380420205633
5.8,0.26694268903901
5.9,0.26030599235019
6,0.2538860103627
6.1,0.24767488879903
6.2,0.24166502268692
6.3,0.23584905660378
6.4,0.23021988348055
6.5,0.22477064220184
6.6,0.21949471420892
6.7,0.21438571928597
6.8,0.20943751068559
6.9,0.20464416972937
7,0.2
7.1,0.19549952122566
7.2,0.19113746294274
7.3,0.18690875801038
7.4,0.1828085360394
7.5,0.17883211678832
7.6,0.17497500357092
7.7,0.17123287671233
7.8,0.16760158708442
7.9,0.16407714974551
8,0.16065573770492
8.1,0.15733367582841
8.2,0.15410743489747
8.3,0.1509736258319
8.4,0.14792899408284
8.5,0.14497041420118
8.6,0.14209488458416
8.7,0.13929952240164
8.8,0.1365815587022
8.9,0.13393833369779
9,0.1313672922252
9.1,0.12886597938144
9.2,0.12643203632986
9.3,0.12406319627304
9.4,0.12175728058841
9.5,0.11951219512195
9.6,0.11732592663538
9.7,0.11519653940192
9.8,0.1131221719457
9.9,0.11110103391983
10,0.10913140311804
10.1,0.10721162261509
10.2,0.10534009803079
10.3,0.10351529491296
10.4,0.10173573623453
10.5,0.1
10.6,0.098306716956906
10.7,0.096654568407765
10.8,0.095042284118241
10.9,0.093468640317413
11,0.091932457786117
11.1,0.09043260002953
11.2,0.08896797153025
11.3,0.08753751607832
11.4,0.086140215174742
11.5,0.084775086505191
11.6,0.083441182480758
11.7,0.082137588842699
11.8,0.080863423328273
11.9,0.079617834394905
12,0.078400000000001

computing time was 0.001 sec