File:Field lines.gif
Field_lines.gif (360 × 360 pixels, file size: 1.73 MB, MIME type: image/gif, looped, 70 frames)
Captions
Captions
Summary
editDescriptionField lines.gif |
English: Vector field for Field lines are a convenient way to visualize vector fields, and are defined to be tangent to them at each point. Due to inertia, field lines do not represent the trajectory that a test mass would follow in a force field. If the force field is F, then:
|
Date | |
Source | https://twitter.com/j_bertolotti/status/1138025351819485184 |
Author | Jacopo Bertolotti |
Permission (Reusing this file) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
Mathematica 11.0 code
editv = {Cos[0.5 x] Cos[0.5 y] + y/Sqrt[x^2 + y^2 + 0.1], Sin[0.5 y ] - x/Sqrt[x^2 + y^2 + 0.1]}; sol = Table[ NDSolve[{fx'[t] == Cos[0.5 fx[t]] Cos[0.5 fy[t] ] + fy[t]/Sqrt[fx[t]^2 + fy[t]^2 + 0.1], fy'[t] == Sin[0.5 fy[t] ] - fx[t]/Sqrt[fx[t]^2 + fy[t]^2 + 0.1], fx[0] == j, fy[0] == k}, {fx, fy}, {t, 0, 20}] , {j, -9, 9, 3}, {k, -9, 9, 3}]; Show[ VectorPlot[{Cos[0.5 x] Cos[0.5 y] + y/Sqrt[x^2 + y^2 + 0.1], Sin[0.5 y ] - x/Sqrt[x^2 + y^2 + 0.1]}, {x, -10, 10}, {y, -10, 10}] , ParametricPlot[{fx[t], fy[t]} /. sol, {t, 0, 20}, PlotRange -> {{-10, 10}, {-10, 10}}, Axes -> False, PlotStyle -> {Thick, Red}] ] p1 = Table[ Show[ VectorPlot[v, {x, -10, 10}, {y, -10, 10}, Frame -> False, VectorColorFunction -> (Black &)] , ParametricPlot[{fx[t], fy[t]} /. sol, {t, 0, \[Tau]}, PlotRange -> {{-10, 10}, {-10, 10}}, Axes -> False, PlotStyle -> {Thick, Red}] , PlotRange -> {{-10, 10}, {-10, 10}} ] , {\[Tau], 0.001, 7, 0.1}]; ListAnimate[p1]
Licensing
edit![]() ![]() |
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.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 08:07, 11 June 2019 | ![]() | 360 × 360 (1.73 MB) | Berto (talk | contribs) | User created page with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikibooks.org
- Usage on sk.wikipedia.org
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
GIF file comment | Created with the Wolfram Language : www.wolfram.com |
---|