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Sonicboom_animation.gif (360 × 376 pixels, file size: 5.73 MB, MIME type: image/gif, looped, 376 frames)

Summary

Description
English: Animation of a point source emitting spherical fronts while increasing its velocity linearly with time. For short times the Doppler effect is visible. When v=c the sonic boom is visible. When v>c the Mach cone is visible.
Date
Source https://twitter.com/j_bertolotti/status/1066037257793089537
Author Jacopo Bertolotti
Permission
(Reusing this file)
https://twitter.com/j_bertolotti/status/1030470604418428929

Mathematica 11.0 code

c = 10.;
v = \[Tau];
p1 = Table[
   Graphics[{Disk[{v \[Tau], 0}, 1], 
     Table[Circle[{v t, 0}, c (\[Tau] - t)], {t, 0, \[Tau], 0.5}]}, 
    PlotRange -> {{-50 + v \[Tau], 50 + v \[Tau]}, {-50, 50}}, 
    PlotLabel -> 
     Style[StringForm["v\!\(\*SubscriptBox[\(=\), \(``\)]\)c", 
       N[v/c, 3], \[Tau]], Medium, FontFamily -> "DejaVu Serif"], 
    LabelStyle -> {Black, Bold}]
   , {\[Tau], 0, 15, 0.04}];
ListAnimate[p1]

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

This file, which was originally posted to https://twitter.com/j_bertolotti/status/1030470604418428929, was reviewed on 24 November 2018 by reviewer Ronhjones, who confirmed that it was available there under the stated license on that date.

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23 November 2018

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Date/TimeThumbnailDimensionsUserComment
current12:00, 24 November 2018Thumbnail for version as of 12:00, 24 November 2018360 × 376 (5.73 MB)BertoUser created page with UploadWizard

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