File:SR redshift derivation.svg

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Summary

Description
Date
Source Own work
Author Boud
SVG development
InfoField
 
The SVG code is valid.
 
This vector image was created with Xfig and a Fig-to-SVG conversion tool.

fig2dev code

The .svg version of the file is produced by
* the following [[w:xfig|.fig]] source code, 
* several command line options: ''xfig -specialtext -latexfonts -startlatexFont default FILENAME.fig'', and
* ''export''ing to .svg format.

 #FIG 3.2  Produced by xfig version 3.2.8b
 Landscape
 Center
 Metric
 A4
 100.00
 Single
 -2
 1200 2
 0 32 #007100
 1 3 1 3 7 7 50 -1 -1 8.000 1 0.0000 7592 9587 45 45 7592 9587 7612 9627
 2 1 1 3 1 7 50 -1 -1 8.000 0 0 -1 0 0 2
         3202 6707 5812 3957
 2 1 0 3 0 7 50 -1 -1 0.000 0 0 -1 0 0 2
         2700 6750 8100 6750
 2 1 0 3 0 7 50 -1 -1 0.000 0 0 -1 0 0 2
         2717 6613 8100 8055
 2 1 1 3 1 7 50 -1 -1 8.000 0 0 -1 0 0 2
         6504 7638 9114 4888
 2 1 1 3 0 7 50 -1 -1 8.000 0 0 -1 0 0 2
         6496 5533 6508 8621
 2 1 1 3 32 7 50 -1 -1 8.000 0 0 -1 1 1 2
        2 1 2.00 150.00 120.00
        2 1 2.00 180.00 120.00
         5847 6777 5854 7650
 2 1 1 3 32 7 50 -1 -1 8.000 0 0 -1 1 1 2
        2 1 2.00 150.00 120.00
        2 1 2.00 180.00 120.00
         7416 6027 6543 6034
 2 1 1 3 32 7 50 -1 -1 8.000 0 0 -1 1 1 2
        2 1 2.00 150.00 120.00
        2 1 2.00 180.00 120.00
         6450 6480 3190 6530
 2 1 0 3 0 7 50 -1 -1 0.000 0 0 -1 0 0 2
         3296 7187 2520 4270
 2 1 0 3 0 7 50 -1 -1 0.000 0 0 -1 0 0 2
         3150 7200 3150 4150
 3 2 0 3 4 7 50 -1 -1 8.000 0 0 0 3
         8065 8537 6895 7787 6519 6818
         0.000 -1.000 0.000
 3 2 0 3 4 7 50 -1 -1 8.000 0 0 0 3
         8056 5029 6886 5779 6510 6748
         0.000 -1.000 0.000
 4 0 0 50 -1 0 32 0.0000 4 360 390 2655 6570 O\001
 4 0 0 50 -1 0 32 0.0000 2 435 810 8260 6775 $x$\001
 4 0 0 50 -1 0 32 0.0000 2 435 915 8296 8329 $x'$\001
 4 0 0 50 -1 0 32 0.0000 4 360 360 5965 8060 C\001
 4 0 0 50 -1 0 32 0.0000 4 360 360 7055 6630 B\001
 4 0 0 50 -1 0 32 6.0388 4 480 1155 4123 7436 30 ps\001
 4 0 0 50 -1 0 24 0.0000 4 345 795 2285 7180 (0,0)\001
 4 0 1 50 -1 0 32 0.8203 2 510 4020 7244 7416 wave phase $2\\pi$\001
 4 0 1 50 -1 0 32 0.8378 2 510 3450 4115 5527 wave phase $0$\001
 4 0 0 50 -1 0 32 0.0000 4 360 390 6545 6630 A\001
 4 0 32 50 -1 0 32 0.0000 2 510 3810 4087 6228 $30 \\cosh\\phi$ ps\001
 4 0 32 50 -1 0 32 0.0000 4 360 2070 2162 7828 AB = AC\001
 4 0 32 50 -1 0 32 0.0000 2 510 4290 2497 8338  = $30 \\sinh\\phi$ ps\001
 4 0 0 50 -1 0 32 0.0000 2 435 795 1989 4155 $t'$\001
 4 0 0 50 -1 0 32 0.0000 2 435 690 3120 4025 $t$\001

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
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8 July 2011

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File history

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Date/TimeThumbnailDimensionsUserComment
current22:22, 16 March 2024Thumbnail for version as of 22:22, 16 March 2024565 × 473 (8 KB)Boudshorter t and t' axes to match the source update
21:35, 16 March 2024Thumbnail for version as of 21:35, 16 March 2024575 × 619 (8 KB)Boudmatch the slightly adjusted .fig source
11:49, 16 March 2024Thumbnail for version as of 11:49, 16 March 2024676 × 619 (8 KB)BoudThe previous diagram showed a messy, incorrect derivation. This one is simple and clear, showing the spacelike separations in the two reference frames.
14:50, 8 July 2011Thumbnail for version as of 14:50, 8 July 2011468 × 621 (8 KB)Boud

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