뉴턴의 중력법칙 : 100m당 중력가속도 구하기

중력가속도는 약 9.8로 알려져 있는데, 이건 지표면 근처에서의 중력 가속도죠. 그럼 정확히 지표 위 어디까지 9.8 일까요?

그래서 계산했습니다. 대기권의 끝 이라는 1000 km, 즉 10^6 m 까지.

100m => 9.81344
200m => 9.81313
300m => 9.81252
400m => 9.81159
500m => 9.81036
600m => 9.80882
700m => 9.80697
800m => 9.80482
900m => 9.80236      <===9.8은 여기까지!
1000m => 9.79959
1100m => 9.79652
1200m => 9.79314
1300m => 9.78945
1400m => 9.78546
1500m => 9.78117
1600m => 9.77657
1700m => 9.77167
1800m => 9.76647
1900m => 9.76096
2000m => 9.75516
2100m => 9.74906
2200m => 9.74265
2300m => 9.73595
2400m => 9.72895
2500m => 9.72166
2600m => 9.71406
2700m => 9.70618
2800m => 9.698
2900m => 9.68953
3000m => 9.68077
3100m => 9.67172
3200m => 9.66238
3300m => 9.65276
3400m => 9.64285
3500m => 9.63265
3600m => 9.62217
3700m => 9.61141
3800m => 9.60037
3900m => 9.58905
4000m => 9.57745
4100m => 9.56558
4200m => 9.55344
4300m => 9.54102
4400m => 9.52833
4500m => 9.51537
4600m => 9.50215
4700m => 9.48866
4800m => 9.47491
4900m => 9.46089
5000m => 9.44662
5100m => 9.43208
5200m => 9.41729
5300m => 9.40225
5400m => 9.38695
5500m => 9.37141
5600m => 9.35561
5700m => 9.33957
5800m => 9.32329
5900m => 9.30676
6000m => 9.29
6100m => 9.27299
6200m => 9.25575
6300m => 9.23828
6400m => 9.22057
6500m => 9.20264
6600m => 9.18448
6700m => 9.1661
6800m => 9.14749
6900m => 9.12866
7000m => 9.10962
7100m => 9.09036
7200m => 9.07089
7300m => 9.0512
7400m => 9.03131
7500m => 9.01122
7600m => 8.99092
7700m => 8.97042
7800m => 8.94972
7900m => 8.92883
8000m => 8.90774
8100m => 8.88646
8200m => 8.86499
8300m => 8.84334
8400m => 8.8215
8500m => 8.79949
8600m => 8.77729
8700m => 8.75492
8800m => 8.73238
8900m => 8.70966
9000m => 8.68678
9100m => 8.66373
9200m => 8.64052
9300m => 8.61714
9400m => 8.59362
9500m => 8.56993
9600m => 8.54609
9700m => 8.52211
9800m => 8.49797
9900m => 8.47369
10000m => 8.44927
10100m => 8.42471
10200m => 8.40001
10300m => 8.37517
10400m => 8.35021
10500m => 8.32511
10600m => 8.29989
10700m => 8.27455
10800m => 8.24908
10900m => 8.22349
11000m => 8.19779
11100m => 8.17198
11200m => 8.14605
11300m => 8.12001
11400m => 8.09387
11500m => 8.06762
11600m => 8.04128
11700m => 8.01483
11800m => 7.98829
11900m => 7.96166
12000m => 7.93493
12100m => 7.90811
12200m => 7.88121
12300m => 7.85423
12400m => 7.82716
12500m => 7.80002
12600m => 7.7728
12700m => 7.74551
12800m => 7.71814
12900m => 7.6907
13000m => 7.6632
13100m => 7.63564
13200m => 7.60801
13300m => 7.58032
13400m => 7.55258
13500m => 7.52478
13600m => 7.49693
13700m => 7.46903
13800m => 7.44108
13900m => 7.41308
14000m => 7.38504
14100m => 7.35696
14200m => 7.32885
14300m => 7.30069
14400m => 7.2725
14500m => 7.24428
14600m => 7.21602
14700m => 7.18774
14800m => 7.15943
14900m => 7.1311
15000m => 7.10275
15100m => 7.07438
15200m => 7.04599
15300m => 7.01758
15400m => 6.98916
15500m => 6.96073
15600m => 6.93228
15700m => 6.90383
15800m => 6.87538
15900m => 6.84692
16000m => 6.81846
16100m => 6.78999
16200m => 6.76153
16300m => 6.73308
16400m => 6.70463
16500m => 6.67618
16600m => 6.64775
16700m => 6.61932
16800m => 6.59091
16900m => 6.56251
17000m => 6.53412
17100m => 6.50576
17200m => 6.47741
17300m => 6.44909
17400m => 6.42078
17500m => 6.3925
17600m => 6.36425
17700m => 6.33602
17800m => 6.30782
17900m => 6.27966
18000m => 6.25152
18100m => 6.22342
18200m => 6.19535
18300m => 6.16731
18400m => 6.13932
18500m => 6.11136
18600m => 6.08344
18700m => 6.05557
18800m => 6.02773
18900m => 5.99995
19000m => 5.9722
19100m => 5.94451
19200m => 5.91686
19300m => 5.88926
19400m => 5.86171
19500m => 5.83421
19600m => 5.80677
19700m => 5.77938
19800m => 5.75204
19900m => 5.72476
20000m => 5.69754
20100m => 5.67038
20200m => 5.64328
20300m => 5.61623
20400m => 5.58925
20500m => 5.56233
20600m => 5.53547
20700m => 5.50868
20800m => 5.48196
20900m => 5.4553
21000m => 5.4287
21100m => 5.40218
21200m => 5.37572
21300m => 5.34934
21400m => 5.32302
21500m => 5.29678
21600m => 5.27061
21700m => 5.24451
21800m => 5.21849
21900m => 5.19254
22000m => 5.16666
22100m => 5.14086
22200m => 5.11514
22300m => 5.0895
22400m => 5.06393
22500m => 5.03845
22600m => 5.01304
22700m => 4.98771
22800m => 4.96246
22900m => 4.9373
23000m => 4.91222
23100m => 4.88721
23200m => 4.8623
23300m => 4.83746
23400m => 4.81271
23500m => 4.78804
23600m => 4.76346
23700m => 4.73897
23800m => 4.71456
23900m => 4.69023
24000m => 4.66599
24100m => 4.64184
24200m => 4.61778
24300m => 4.59381
24400m => 4.56992
24500m => 4.54612
24600m => 4.52242
24700m => 4.4988
24800m => 4.47527
24900m => 4.45183
25000m => 4.42848
25100m => 4.40522
25200m => 4.38205
25300m => 4.35897
25400m => 4.33599
25500m => 4.31309
25600m => 4.29029
25700m => 4.26758
25800m => 4.24496
25900m => 4.22244
26000m => 4.20001
26100m => 4.17766
26200m => 4.15542
26300m => 4.13326
26400m => 4.1112
26500m => 4.08923
26600m => 4.06736
26700m => 4.04558
26800m => 4.02389
26900m => 4.0023
27000m => 3.9808
27100m => 3.95939
27200m => 3.93808
27300m => 3.91686
27400m => 3.89573
27500m => 3.8747
27600m => 3.85377
27700m => 3.83292
27800m => 3.81218
27900m => 3.79152
28000m => 3.77096
28100m => 3.75049
28200m => 3.73012
28300m => 3.70984
28400m => 3.68966
28500m => 3.66957
28600m => 3.64957
28700m => 3.62967
28800m => 3.60986
28900m => 3.59014
29000m => 3.57052
29100m => 3.55099
29200m => 3.53155
29300m => 3.51221
29400m => 3.49296
29500m => 3.4738
29600m => 3.45474
29700m => 3.43577
29800m => 3.41689
29900m => 3.3981
30000m => 3.37941
30100m => 3.3608
30200m => 3.34229
30300m => 3.32388
30400m => 3.30555
30500m => 3.28731
30600m => 3.26917
30700m => 3.25112
30800m => 3.23315
30900m => 3.21528
31000m => 3.1975
31100m => 3.17981
31200m => 3.16221
31300m => 3.1447
31400m => 3.12728
31500m => 3.10994
31600m => 3.0927
31700m => 3.07555
31800m => 3.05848
31900m => 3.04151
32000m => 3.02462
32100m => 3.00782
32200m => 2.9911
32300m => 2.97448
32400m => 2.95794
32500m => 2.94149
32600m => 2.92513
32700m => 2.90885
32800m => 2.89266
32900m => 2.87655
33000m => 2.86053
33100m => 2.8446
33200m => 2.82875
33300m => 2.81298
33400m => 2.7973
33500m => 2.7817
33600m => 2.76619
33700m => 2.75076
33800m => 2.73542
33900m => 2.72016
34000m => 2.70498
34100m => 2.68988
34200m => 2.67487
34300m => 2.65993
34400m => 2.64508
34500m => 2.63031
34600m => 2.61562
34700m => 2.60102
34800m => 2.58649
34900m => 2.57204
35000m => 2.55767
35100m => 2.54338
35200m => 2.52917
35300m => 2.51504
35400m => 2.50099
35500m => 2.48702
35600m => 2.47312
35700m => 2.4593
35800m => 2.44556
35900m => 2.4319
36000m => 2.41831
36100m => 2.4048
36200m => 2.39136
36300m => 2.378
36400m => 2.36471
36500m => 2.3515
36600m => 2.33837
36700m => 2.3253
36800m => 2.31232
36900m => 2.2994
37000m => 2.28656
37100m => 2.27379
37200m => 2.2611
37300m => 2.24847
37400m => 2.23592
37500m => 2.22344
37600m => 2.21103
37700m => 2.19869
37800m => 2.18643
37900m => 2.17423
38000m => 2.1621
38100m => 2.15005
38200m => 2.13806
38300m => 2.12614
38400m => 2.11429
38500m => 2.10251
38600m => 2.09079
38700m => 2.07914
38800m => 2.06756
38900m => 2.05605
39000m => 2.0446
39100m => 2.03322
39200m => 2.02191
39300m => 2.01066
39400m => 1.99948
39500m => 1.98836
39600m => 1.97731
39700m => 1.96632
39800m => 1.95539
39900m => 1.94453
40000m => 1.93373
40100m => 1.923
40200m => 1.91232
40300m => 1.90171
40400m => 1.89117
40500m => 1.88068
40600m => 1.87025
40700m => 1.85989
40800m => 1.84958
40900m => 1.83934
41000m => 1.82916
41100m => 1.81903
41200m => 1.80897
41300m => 1.79897
41400m => 1.78902
41500m => 1.77913
41600m => 1.7693
41700m => 1.75953
41800m => 1.74982
41900m => 1.74016
42000m => 1.73056
42100m => 1.72101
42200m => 1.71153
42300m => 1.7021
42400m => 1.69272
42500m => 1.6834
42600m => 1.67414
42700m => 1.66493
42800m => 1.65577
42900m => 1.64667
43000m => 1.63762
43100m => 1.62862
43200m => 1.61968
43300m => 1.6108
43400m => 1.60196
43500m => 1.59318
43600m => 1.58445
43700m => 1.57577
43800m => 1.56714
43900m => 1.55856
44000m => 1.55003
44100m => 1.54156
44200m => 1.53313
44300m => 1.52476
44400m => 1.51643
44500m => 1.50816
44600m => 1.49993
44700m => 1.49175
44800m => 1.48362
44900m => 1.47554
45000m => 1.46751
45100m => 1.45952
45200m => 1.45159
45300m => 1.4437
45400m => 1.43585
45500m => 1.42806
45600m => 1.42031
45700m => 1.4126
45800m => 1.40494
45900m => 1.39733
46000m => 1.38976
46100m => 1.38224
46200m => 1.37476
46300m => 1.36733
46400m => 1.35994
46500m => 1.35259
46600m => 1.34529
46700m => 1.33803
46800m => 1.33082
46900m => 1.32365
47000m => 1.31652
47100m => 1.30943
47200m => 1.30238
47300m => 1.29538
47400m => 1.28842
47500m => 1.2815
47600m => 1.27462
47700m => 1.26778
47800m => 1.26099
47900m => 1.25423
48000m => 1.24751
48100m => 1.24084
48200m => 1.2342
48300m => 1.2276
48400m => 1.22105
48500m => 1.21453
48600m => 1.20805
48700m => 1.20161
48800m => 1.1952
48900m => 1.18884
49000m => 1.18251
49100m => 1.17622
49200m => 1.16997
49300m => 1.16375
49400m => 1.15757
49500m => 1.15143
49600m => 1.14533
49700m => 1.13926
49800m => 1.13322
49900m => 1.12723
50000m => 1.12126
50100m => 1.11534
50200m => 1.10945
50300m => 1.10359
50400m => 1.09777
50500m => 1.09198
50600m => 1.08623
50700m => 1.08051
50800m => 1.07483
50900m => 1.06917
51000m => 1.06356
51100m => 1.05797
51200m => 1.05242
51300m => 1.0469
51400m => 1.04142
51500m => 1.03596
51600m => 1.03054
51700m => 1.02515
51800m => 1.0198
51900m => 1.01447
52000m => 1.00918
52100m => 1.00391
52200m => 0.998681
52300m => 0.99348
52400m => 0.988309
52500m => 0.983169
52600m => 0.97806
52700m => 0.97298
52800m => 0.967931
52900m => 0.962911
53000m => 0.957921
53100m => 0.95296
53200m => 0.948028
53300m => 0.943126
53400m => 0.938252
53500m => 0.933406
53600m => 0.92859
53700m => 0.923801
53800m => 0.919041
53900m => 0.914308
54000m => 0.909604
54100m => 0.904927
54200m => 0.900277
54300m => 0.895655
54400m => 0.891059
54500m => 0.886491
54600m => 0.881949
54700m => 0.877434
54800m => 0.872946
54900m => 0.868483
55000m => 0.864047
55100m => 0.859636
55200m => 0.855252
55300m => 0.850892
55400m => 0.846559
55500m => 0.84225
55600m => 0.837967
55700m => 0.833709
55800m => 0.829475
55900m => 0.825267
56000m => 0.821082
56100m => 0.816922
56200m => 0.812786
56300m => 0.808675
56400m => 0.804587
56500m => 0.800523
56600m => 0.796482
56700m => 0.792465
56800m => 0.788471
56900m => 0.7845
57000m => 0.780553
57100m => 0.776628
57200m => 0.772726
57300m => 0.768846
57400m => 0.764989
57500m => 0.761155
57600m => 0.757342
57700m => 0.753551
57800m => 0.749783
57900m => 0.746036
58000m => 0.74231
58100m => 0.738607
58200m => 0.734924
58300m => 0.731263
58400m => 0.727622
58500m => 0.724003
58600m => 0.720405
58700m => 0.716827
58800m => 0.713269
58900m => 0.709733
59000m => 0.706216
59100m => 0.70272
59200m => 0.699243
59300m => 0.695787
59400m => 0.69235
59500m => 0.688933
59600m => 0.685536
59700m => 0.682158
59800m => 0.678799
59900m => 0.675459
60000m => 0.672139
60100m => 0.668837
60200m => 0.665555
60300m => 0.662291
60400m => 0.659045
60500m => 0.655818
60600m => 0.65261
60700m => 0.649419
60800m => 0.646247
60900m => 0.643093
61000m => 0.639957
61100m => 0.636838
61200m => 0.633737
61300m => 0.630654
61400m => 0.627588
61500m => 0.62454
61600m => 0.621509
61700m => 0.618495
61800m => 0.615498
61900m => 0.612518
62000m => 0.609554
62100m => 0.606608
62200m => 0.603678
62300m => 0.600764
62400m => 0.597867
62500m => 0.594987
62600m => 0.592122
62700m => 0.589274
62800m => 0.586441
62900m => 0.583625
63000m => 0.580824
63100m => 0.578039
63200m => 0.57527
63300m => 0.572516
63400m => 0.569778
63500m => 0.567055
63600m => 0.564347
63700m => 0.561654
63800m => 0.558976
63900m => 0.556313
64000m => 0.553665
64100m => 0.551032
64200m => 0.548414
64300m => 0.54581
64400m => 0.54322
64500m => 0.540645
64600m => 0.538085
64700m => 0.535538
64800m => 0.533006
64900m => 0.530487
65000m => 0.527983
65100m => 0.525493
65200m => 0.523016
65300m => 0.520553
65400m => 0.518104
65500m => 0.515668
65600m => 0.513245
65700m => 0.510836
65800m => 0.508441
65900m => 0.506058
66000m => 0.503689
66100m => 0.501332
66200m => 0.498989
66300m => 0.496658
66400m => 0.494341
66500m => 0.492036
66600m => 0.489743
66700m => 0.487464
66800m => 0.485196
66900m => 0.482942
67000m => 0.480699
67100m => 0.478469
67200m => 0.476251
67300m => 0.474045
67400m => 0.471851
67500m => 0.469669
67600m => 0.467499
67700m => 0.465341
67800m => 0.463194
67900m => 0.46106
68000m => 0.458937
68100m => 0.456825
68200m => 0.454725
68300m => 0.452636
68400m => 0.450559
68500m => 0.448492
68600m => 0.446437
68700m => 0.444394
68800m => 0.442361
68900m => 0.440339
69000m => 0.438328
69100m => 0.436328
69200m => 0.434339
69300m => 0.43236
69400m => 0.430392
69500m => 0.428435
69600m => 0.426488
69700m => 0.424552
69800m => 0.422626
69900m => 0.420711
70000m => 0.418805
70100m => 0.41691
70200m => 0.415025
70300m => 0.413151
70400m => 0.411286
70500m => 0.409431
70600m => 0.407586
70700m => 0.405751
70800m => 0.403926
70900m => 0.40211
71000m => 0.400305
71100m => 0.398508
71200m => 0.396722
71300m => 0.394945
71400m => 0.393177
71500m => 0.391418
71600m => 0.389669
71700m => 0.38793
71800m => 0.386199
71900m => 0.384478
72000m => 0.382766
72100m => 0.381063
72200m => 0.379368
72300m => 0.377683
72400m => 0.376007
72500m => 0.374339
72600m => 0.372681
72700m => 0.371031
72800m => 0.369389
72900m => 0.367757
73000m => 0.366133
73100m => 0.364517
73200m => 0.36291
73300m => 0.361311
73400m => 0.359721
73500m => 0.358139
73600m => 0.356565
73700m => 0.355
73800m => 0.353443
73900m => 0.351894
74000m => 0.350353
74100m => 0.34882
74200m => 0.347295
74300m => 0.345778
74400m => 0.344268
74500m => 0.342767
74600m => 0.341274
74700m => 0.339788
74800m => 0.33831
74900m => 0.336839
75000m => 0.335377
75100m => 0.333921
75200m => 0.332474
75300m => 0.331033
75400m => 0.329601
75500m => 0.328175
75600m => 0.326757
75700m => 0.325347
75800m => 0.323943
75900m => 0.322547
76000m => 0.321158
76100m => 0.319776
76200m => 0.318401
76300m => 0.317034
76400m => 0.315673
76500m => 0.314319
76600m => 0.312972
76700m => 0.311633
76800m => 0.3103
76900m => 0.308973
77000m => 0.307654
77100m => 0.306341
77200m => 0.305035
77300m => 0.303736
77400m => 0.302443
77500m => 0.301157
77600m => 0.299877
77700m => 0.298604
77800m => 0.297337
77900m => 0.296077
78000m => 0.294823
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761000m => 4.72963e-05
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822500m => 3.46807e-05
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831100m => 3.32698e-05
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866800m => 2.81263e-05
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868500m => 2.79071e-05
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868800m => 2.78686e-05
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873400m => 2.72871e-05
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873600m => 2.72622e-05
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874600m => 2.71379e-05
874700m => 2.71255e-05
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876500m => 2.69037e-05
876600m => 2.68915e-05
876700m => 2.68792e-05
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878400m => 2.66721e-05
878500m => 2.66599e-05
878600m => 2.66478e-05
878700m => 2.66357e-05
878800m => 2.66236e-05
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879400m => 2.65511e-05
879500m => 2.65391e-05
879600m => 2.6527e-05
879700m => 2.6515e-05
879800m => 2.6503e-05
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880000m => 2.64789e-05
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880500m => 2.64189e-05
880600m => 2.64069e-05
880700m => 2.6395e-05
880800m => 2.6383e-05
880900m => 2.6371e-05
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882100m => 2.62281e-05
882200m => 2.62162e-05
882300m => 2.62043e-05
882400m => 2.61925e-05
882500m => 2.61806e-05
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932500m => 2.10081e-05
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933200m => 2.09452e-05
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936400m => 2.06607e-05
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937000m => 2.0608e-05
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937200m => 2.05904e-05
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939900m => 2.03551e-05
940000m => 2.03465e-05
940100m => 2.03378e-05
940200m => 2.03292e-05
940300m => 2.03206e-05
940400m => 2.03119e-05
940500m => 2.03033e-05
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999000m => 1.59543e-05
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999200m => 1.59415e-05
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999400m => 1.59288e-05
999500m => 1.59224e-05
999600m => 1.5916e-05
999700m => 1.59097e-05
999800m => 1.59033e-05
999900m => 1.5897e-05
1e+06m => 1.58906e-05