Gravity anomaly simulation: analytical solutions

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choose depth of body : 3.5
sphere with density-contrast at depth 3.5
Wertelistex,g
-12,0.021952
-11.9,0.022465471655378
-11.8,0.022994723123954
-11.7,0.02354035050056
-11.6,0.024102976373382
-11.5,0.024683251164969
-11.4,0.02528185454847
-11.3,0.025899496943646
-11.2,0.026536921097504
-11.1,0.027194903754704
-11,0.027874257423209
-10.9,0.028575832241002
-10.8,0.029300517950059
-10.7,0.030049245984161
-10.6,0.030822991677522
-10.5,0.031622776601684
-10.4,0.032449671038558
-10.3,0.033304796598003
-10.2,0.034189328988844
-10.1,0.035104500952782
-10,0.036051605371219
-9.9,0.03703199855564
-9.8,0.038047103732823
-9.7,0.039098414736816
-9.6,0.040187499920323
-9.5,0.041316006298879
-9.4,0.042485663941938
-9.3,0.043698290625804
-9.2,0.044955796764132
-9.1,0.046260190632586
-9,0.047613583905074
-8.9,0.049018197519867
-8.8,0.050476367894794
-8.7,0.05199055351155
-8.6,0.053563341890073
-8.5,0.055197456974735
-8.4,0.056895766954938
-8.3,0.058661292543432
-8.2,0.060497215736331
-8.1,0.062406889079386
-8,0.064393845465461
-7.9,0.06646180848841
-7.8,0.068614703378558
-7.7,0.070856668544723
-7.6,0.073192067747084
-7.5,0.075625502924179
-7.4,0.078161827695745
-7.3,0.080806161560962
-7.2,0.083563904808728
-7.1,0.086440754152828
-7,0.089442719099991
-6.9,0.092576139052745
-6.8,0.09584770114144
-6.7,0.099264458770503
-6.6,0.10283385085268
-6.5,0.10656372169136
-6.4,0.11046234145458
-6.3,0.11453842716477
-6.2,0.11880116410472
-6.1,0.12326022751281
-6,0.12792580440767
-5.9,0.1328086153444
-5.8,0.13791993585932
-5.7,0.14327161730822
-5.6,0.14887610674247
-5.5,0.15474646539685
-5.4,0.16089638528271
-5.3,0.16734020328671
-5.2,0.17409291206992
-5.1,0.18117016694137
-5,0.18858828774364
-4.9,0.19636425463483
-4.8,0.20451569647933
-4.7,0.21306087036917
-4.6,0.22201863058725
-4.5,0.23140838509408
-4.4,0.24125003737152
-4.3,0.25156391119152
-4.2,0.26237065560019
-4.1,0.27369112712056
-4,0.28554624588988
-3.9,0.29795682216938
-3.8,0.31094334940837
-3.7,0.32452575982968
-3.6,0.33872313835083
-3.5,0.35355339059327
-3.4,0.36903286079485
-3.3,0.38517589566853
-3.2,0.40199435069043
-3.1,0.41949703600737
-3,0.43768910018705
-2.9,0.45657135145658
-2.8,0.47613951795306
-2.7,0.4963834509034
-2.6,0.51728627761399
-2.5,0.53882351471797
-2.4,0.56096215630834
-2.3,0.5836597563478
-2.2,0.60686353000788
-2.1,0.63050950420039
-2,0.65452175329382
-1.9,0.67881176153245
-1.8,0.70327795857955
-1.7,0.72780547837225
-1.6,0.75226619351289
-1.5,0.77651907708422
-1.4,0.80041094041832
-1.3,0.82377758838734
-1.2,0.84644542277851
-1.1,0.86823350906689
-1,0.88895610253585
-0.90000000000003,0.90842560676197
-0.80000000000003,0.92645591198645
-0.70000000000003,0.94286603431819
-0.60000000000003,0.95748395094865
-0.50000000000003,0.97015050378794
-0.40000000000003,0.9807232264336
-0.30000000000003,0.98907993928375
-0.20000000000003,0.99512195660648
-0.10000000000003,0.99877675849458
-2.5895952049382E-14,1
0.099999999999974,0.99877675849458
0.19999999999997,0.99512195660649
0.29999999999997,0.98907993928375
0.39999999999997,0.9807232264336
0.49999999999997,0.97015050378795
0.59999999999997,0.95748395094866
0.69999999999997,0.9428660343182
0.79999999999997,0.92645591198646
0.89999999999997,0.90842560676198
0.99999999999997,0.88895610253586
1.1,0.8682335090669
1.2,0.84644542277852
1.3,0.82377758838735
1.4,0.80041094041833
1.5,0.77651907708423
1.6,0.75226619351291
1.7,0.72780547837226
1.8,0.70327795857956
1.9,0.67881176153246
2,0.65452175329383
2.1,0.63050950420041
2.2,0.60686353000789
2.3,0.58365975634782
2.4,0.56096215630835
2.5,0.53882351471798
2.6,0.517286277614
2.7,0.49638345090341
2.8,0.47613951795307
2.9,0.45657135145659
3,0.43768910018706
3.1,0.41949703600738
3.2,0.40199435069044
3.3,0.38517589566854
3.4,0.36903286079486
3.5,0.35355339059328
3.6,0.33872313835084
3.7,0.32452575982969
3.8,0.31094334940837
3.9,0.29795682216939
4,0.28554624588989
4.1,0.27369112712057
4.2,0.2623706556002
4.3,0.25156391119152
4.4,0.24125003737153
4.5,0.23140838509409
4.6,0.22201863058725
4.7,0.21306087036918
4.8,0.20451569647934
4.9,0.19636425463483
5,0.18858828774365
5.1,0.18117016694138
5.2,0.17409291206993
5.3,0.16734020328671
5.4,0.16089638528272
5.5,0.15474646539685
5.6,0.14887610674247
5.7,0.14327161730822
5.8,0.13791993585932
5.9,0.1328086153444
6,0.12792580440767
6.1,0.12326022751281
6.2,0.11880116410473
6.3,0.11453842716477
6.4,0.11046234145458
6.5,0.10656372169136
6.6,0.10283385085268
6.7,0.099264458770505
6.8,0.095847701141442
6.9,0.092576139052746
7,0.089442719099993
7.1,0.08644075415283
7.2,0.083563904808729
7.3,0.080806161560963
7.4,0.078161827695746
7.5,0.07562550292418
7.6,0.073192067747085
7.7,0.070856668544724
7.8,0.068614703378559
7.9,0.066461808488411
8,0.064393845465462
8.1,0.062406889079387
8.2,0.060497215736332
8.3,0.058661292543433
8.4,0.056895766954939
8.5,0.055197456974736
8.6,0.053563341890074
8.7,0.051990553511551
8.8,0.050476367894795
8.9,0.049018197519868
9,0.047613583905074
9.1,0.046260190632587
9.2,0.044955796764133
9.3,0.043698290625805
9.4,0.042485663941939
9.5,0.04131600629888
9.6,0.040187499920324
9.7,0.039098414736817
9.8,0.038047103732824
9.9,0.03703199855564
10,0.036051605371219
10.1,0.035104500952783
10.2,0.034189328988845
10.3,0.033304796598003
10.4,0.032449671038558
10.5,0.031622776601684
10.6,0.030822991677522
10.7,0.030049245984162
10.8,0.02930051795006
10.9,0.028575832241002
11,0.027874257423209
11.1,0.027194903754705
11.2,0.026536921097504
11.3,0.025899496943646
11.4,0.025281854548471
11.5,0.024683251164969
11.6,0.024102976373382
11.7,0.02354035050056
11.8,0.022994723123954
11.9,0.022465471655378
12,0.021952

computing time was 0.001 sec