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Methode voor Logische Analyse



Lorentz contraction analysis - Transformations under relative velocity

.

Sources a.o.: H.A. Lorentz, 1904: Electromagnetic phenomena in a system moving with any velocity smaller than that of light, Proc. Acad. Science Amsterdam, vol 6, 1904: p.809-831.
A. Einstein, 1905: Zur Elektrodynamik bewegter Körper, In: 'Annalen der Physik', 30 juni 1905, Folge IV, Band 17, resp. Vol. 322 (no. 10): p.891-921.
A. Einstein, 1916: Die Grundlage der allgemeinen Relativitätstheorie, In: 'Annalen der Physik', 20 maart 1916, Folge IV, Band 49, resp. Vol.354 (no.7): p.769-822.

Lorentz-transformations - under relative velocity

  [dd. 2025|05|24 - 16h:11m (17s:765ms) v. 1.1 /  ]

Body

 Speed v (km/h)

 Speed / c (%)

 Cycles around earth's equator (n/s)

 Length in rest (m)

 Length in motion (m)

 Contraction (%)

 *

 Mass in rest (kg)

 Energy-,mass-growth (%)

 Speed needed (km/h)
1
 ________100.000000000000
 __0.000009265669311
 0.002495
 100.__
 _99.999999999999570
 ___.000000000000426
100.__
 _________.000000000000426
 _________99.136849848730
2
 ________500.000000000000
 __0.000046328346555
 0.012476
 100.__
 _99.999999999989270
 ___.000000000010729
100.__
 _________.000000000010729
 ________499.841003351648
3
 _______1000.000000000000
 __0.000092656693110
 0.024953
 100.__
 _99.999999999957070
 ___.000000000042930
100.__
 _________.000000000042930
 ________999.940690109542
4
 _______5000.000000000000
 __0.000463283465552
 0.124766
 100.__
 _99.999999998926840
 ___.000000001073161
100.__
 _________.000000001073161
 _______5000.013820849018
5
 ______10000.000000000000
 __0.000926566931105
 0.249532
 100.__
 _99.999999995707370
 ___.000000004292630
100.__
 _________.000000004292630
 ______10000.001778275560
6
 ______50000.000000000000
 __0.004632834655529
 1.247660
 100.__
 _99.999999892684220
 ___.000000107315784
100.__
 _________.000000107315784
 ______49999.998545994360
7
 _____100000.000000000000
 __0.009265669311059
 2.495320
 100.__
 _99.999999570736860
 ___.000000429263138
100.__
 _________.000000429263138
 ______99999.999678334820
8
 _____500000.000000000000
 __0.046328346555298
 12.476601
 100.__
 _99.999989268420950
 __0.000010731579052
100.__
 ________0.000010731580204
 _____500000.053739476660
9
 ____1000000.000000000000
 __0.092656693110597
 24.953202
 100.__
 _99.999957073676900
 __0.000042926323104
100.__
 ________0.000042926341535
 ____1000000.429220315900
10
 ____5000000.000000000000
 __0.463283465552988
 124.766011
 100.__
 _99.998926836394320
 __0.001073163605681
100.__
 ________0.001073175122598
 ____5000053.658792609000
11
 ___10000000.000000000000
 __0.926566931105977
 249.532023
 100.__
 _99.995707276473520
 __0.004292723526475
100.__
 ________0.004292907809144
 ___10000429.290796290000
12
 ___50000000.000000000000
 __4.632834655529890
 1247.660116
 100.__
 _99.892626570005260
 __0.107373429994737
100.__
 ________0.107488844453897
 ___50053744.422225770000
13
 __100000000.000000000000
 __9.265669311059780
 2495.320233
 100.__
 _99.569811550580350
 __0.430188449419645
100.__
 ________0.432047065993600
 __100432047.065993460000
14
 __108000000.000000000000
 _10.006922855944560
 2694.945852
 100.__
 _99.498047694189320
 __0.501952305810675
100.__
 ________0.504484577781298
 __108544843.344004990000
15
 __150000000.000000000000
 _13.898503966589670
 3742.980350
 100.__
 _99.029448082328970
 __0.970551917671031
100.__
 ________0.980063947104042
 __151470095.920657280000
16
 __152247349.933238980000
 _14.106735979665919
 3799.058928
 100.__
 _98.999999999999990
 __1.000000000000014
 *
 100.__
 ________1.010101010101024
 __153785201.952766930000
17
 __200000000.000000000000
 _18.531338622119560
 4990.640467
 100.__
 _98.267947413550570
 __1.732052586449427
100.__
 ________1.762581423584904
 __203525162.847168830000
18
 __300000000.000000000000
 _27.797007933179340
 7485.960700
 100.__
 _96.058973292258160
 __3.941026707741841
100.__
 ________4.102715834523153
 __312308147.503569360000
19
 __400000000.000000000000
 _37.062677244239120
 9981.280934
 100.__
 _92.878188803880970
 __7.121811196119027
100.__
 ________7.667904906239344
 __430671619.624957400000
20
 __450000000.000000000000
 _41.695511899769000
 11228.941051
 100.__
 _90.892707559056800
 __9.107292440943198
100.__
 _______10.019827426777681
 __495089223.420499440000
21
 __470435410.244758250000
 _43.588989435406740
 11738.869978
 100.__
 _90.000000000000000
 _10.000000000000000
 *
 100.__
 _______11.111111111111114
 __522706011.383064900000
22
 __500000000.000000000000
 _46.328346555298900
 12476.601168
 100.__
 _88.621015032847170
 _11.378984967152832
100.__
 _______12.840052625142280
 __564200263.125711700000
23
 __750000000.000000000000
 _69.492519832948350
 18714.901752
 100.__
 _71.908203198712190
 _28.091796801287817
100.__
 _______39.066192105591256
 _1042996440.791934600000
24
 _1000000000.000000000000
 _92.656693110597800
 24953.202336
 100.__
 _37.612992726031500
 _62.387007273968500
100.__
 ______165.865576633021250
 _2658655766.330213000000
25
 _1050000000.000000000000
 _97.289527766127690
 26200.862453
 100.__
 _23.124614311245686
 _76.875385688754300
100.__
 ______332.439644847910800
 _4540616270.903064000000
26
 _1070000000.000000000000
 _99.142661628339640
 26699.926500
 100.__
 _13.066470267388642
 _86.933529732611360
100.__
 ______665.317625599168000
 _8188898593.911098500000
27
 _1075000000.000000000000
 _99.605945093892630
 26824.692511
 100.__
 __8.868804990101435
 _91.131195009898560
100.__
 _____1027.547624641775900
 12121136964.899088000000
28
 _1079252848.800000000000
 100.000000000000000
 26930.814708
 100.__
 __0.000000000000000
 100.000000000000000
100.__
 INFINITE
 INFINITE
29
 _1079252848.800000000000
 100.000000000000000
 26930.814708
 100.__
 __0.000000000000000
 100.000000000000000
100.__
 INFINITE
 INFINITE
30
 _1079252848.900000000000
 100.000000009265680
 26930.814710
 100.__
 Physically
IMPOSSIBLE
 Physically
IMPOSSIBLE
100.__
 Physically
IMPOSSIBLE
 Physically
IMPOSSIBLE