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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. 2021|03|19 - 23h:00m (42s:654ms) v. 1.1 /  ]

Lorentz-transformations - under relative velocity:

Speed of light c =  299792458.____________ (m /s) ;
Speed of light c =  1079252848.8___________ (km/h) ;
Circumference of the earth's equator 40075.0166856__ (km) .
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)
 Total energy in motion (J)
 Kinetic energy (%)
 Speed needed (km/h)
__1
______________100.000000000000
________________0.000009265669
0.002495320233663998
100
99.99999999999957
4.263256414560601e-13

100
8987551787368216000
4.443479263855731e-13
99.13684984873056
__2
______________500.000000000000
________________0.000046328346
0.012476601168319989
100
99.99999999998927
1.0729195309977513e-11

100
8987551787369141000
1.0744104989271679e-11
499.8410033516484
__3
_____________1000.000000000000
________________0.000092656693
0.024953202336639977
100
99.99999999995707
4.293099209462525e-11

100
8987551787372035000
4.294223934736474e-11
999.9406901095422
__4
_____________5000.000000000000
________________0.000463283465
0.12476601168319988
100
99.99999999892684
1.0731611155279097e-9

100
8987551787464627000
1.073168603440603e-9
5000.013820849018
__5
____________10000.000000000000
________________0.000926566931
0.24953202336639976
100
99.99999999570737
4.292630251256924e-9

100
8987551787753978000
4.292628839616116e-9
10000.00177827556
__6
____________50000.000000000000
________________0.004632834655
1.247660116831999
100
99.99999989268422
1.0731578470313252e-7

100
8987551797013239000
1.0731580074515891e-7
49999.99854599436
__7
___________100000.000000000000
________________0.009265669311
2.495320233663998
100
99.99999957073686
4.292631388125301e-7

100
8987551825948422000
4.292631346194162e-7
99999.99967833482
__8
___________500000.000000000000
________________0.046328346555
12.47660116831999
100
99.99998926842095
0.000010731579052958296

100
8987552751874504000
0.000010731580199844794
500000.05373947666
__9
__________1000000.000000000000
________________0.092656693110
24.95320233663998
100
99.9999570736769
0.00004292632310409772

100
8987555645395351000
0.0000429263415242222
1000000.4292203159
10
__________5000000.000000000000
________________0.463283465552
124.76601168319989
100
99.99892683639432
0.0010731636056817706

100
8987648239538090000
0.0010731751226171471
5000053.658792609
11
_________10000000.000000000000
________________0.926566931105
249.53202336639978
100
99.99570727647352
0.004292723526475584

100
8987937614680706000
0.004292907809140022
10000429.29079629
12
_________50000000.000000000000
________________4.632834655529
1247.660116831999
100
99.89262657000526
0.10737342999473753

100
8997212402929112000
0.10748884445388397
50053744.42222577
13
________100000000.000000000000
________________9.265669311059
2495.320233663998
100
99.56981155058035
0.4301884494196457

100
9026382241170156000
0.4320470659936039
100432047.06599346
14
________108000000.000000000000
_______________10.006922855944
2694.9458523571175
100
99.49804769418932
0.5019523058106756

100
9032892600055555000
0.5044845777812937
108544843.34400499
15
________150000000.000000000000
_______________13.898503966589
3742.980350495997
100
99.02944808232897
0.9705519176710311

100
9075635542163475000
0.9800639471040355
151470095.92065728
16
________152247349.933238980000
_______________14.106735979665
3799.0589281013436
100
98.99999999999999
1.0000000000000142
*
100
9078335138755734000
1.0101010101010162
153785201.95276693
17
________200000000.000000000000
_______________18.531338622119
4990.640467327996
100
98.26794741355057
1.7320525864494272

100
9145964705607401000
1.7625814235849195
203525162.84716883
18
________300000000.000000000000
_______________27.797007933179
7485.960700991994
100
96.05897329225816
3.941026707741841

100
9356285497684498000
4.102715834523154
312308147.50356936
19
________400000000.000000000000
_______________37.062677244239
9981.280934655992
100
92.87818880388097
7.121811196119027

100
9676708711822582000
7.667904906239344
430671619.6249574
20
________450000000.000000000000
_______________41.695511899769
11228.94105148799
100
90.8927075590568
9.107292440943198

100
9888088966354740000
10.019827426777676
495089223.42049944
21
________470435410.244758250000
_______________43.588989435406
11738.869978157689
100
90
10
*
100
9986168652631306000
11.11111111111111
522706011.3830649
22
________500000000.000000000000
_______________46.328346555298
12476.601168319989
100
88.62101503284717
11.378984967152832

100
10141558166578164000
12.840052625142267
564200263.1257117
23
________750000000.000000000000
_______________69.492519832948
18714.901752479982
100
71.90820319871219
28.091796801287817

100
12498646034210929000
39.06619210559127
1042996440.7919346
24
_______1000000000.000000000000
_______________92.656693110597
24953.202336639977
100
37.6129927260315
62.3870072739685

100
23894806384677810000
165.86557663302128
2658655766.330213
25
_______1050000000.000000000000
_______________97.289527766127
26200.862453471975
100
23.124614311245686
76.8753856887543

100
38865737029817000000
332.4396448479108
4540616270.903064
26
_______1070000000.000000000000
_______________99.142661628339
26699.926500204776
100
13.066470267388642
86.93352973261136

100
68783317938581700000
665.317625599168
8188898593.9110985
27
_______1075000000.000000000000
_______________99.605945093892
26824.692511887977
100
8.868804990101435
91.13119500989856

100
101338926691919330000
1027.5476246417759
12121136964.899088
28
_______1079252848.800000000000
______________100.000000000000
26930.81470850151
100
__0._______________
100

100
Infinity
Infinity
Infinity
29
_______1079252848.800000000000
______________100.000000000000
26930.81470850151
100
__0._______________
100

100
Infinity
Infinity
Infinity
30
_______1079252848.900000000000
______________100.000000009265
26930.814710996834
100
Physically
IMPOSSIBLE
Physically
IMPOSSIBLE

100
Physically
IMPOSSIBLE
Physically
IMPOSSIBLE
Physically
IMPOSSIBLE