File:Laplace Runge Lenz vector.svg
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Original file (SVG file, nominally 1,920 × 1,080 pixels, file size: 7 KB)
Summary
| Description | Figure showing the Laplace-Runge-Lenz vector at four points (labelled 1, 2, 3 and 4) on an elliptical orbit. The major and minor axes are proportional to 5 and 3, respectively, so that the foci of the ellipse are located at a distance 4; hence, the eccentricity is 0.8. Once the magnitude of mk is set, the vector A may be determined from the perpendicularity of pxL to the orbit at position #2; copying A to the other points (#1, #3 and #4) then gives pxL at those points. I created this image using Xfig and my own calculations on 4 November 2006, and I hereby release it under the GFDL. The momenta/velocity vectors are not shown, since this diagram holds regardless of whether the particle is rotating clockwise or counterclockwise; it's also cool that pxL always points outwards, away from the ellipse. |
| Date | 26 June 2007 (original upload date) |
| Source | No machine-readable source provided. Own work assumed (based on copyright claims). |
| Author | No machine-readable author provided. Cronholm144 assumed (based on copyright claims). |
Licensing
I, Cronholm144, the copyright holder of this work, hereby publishes it under the following licenses:
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
  
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This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | |
Attribution:
I, Cronholm144 | ||
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| This licensing tag was added to this file as part of the GFDL licensing update. |
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.
Attribution:
I, Cronholm144
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 07:14, 18 June 2023 | No thumbnail | 1,920 × 1,080 (7 KB) | wikimediacommons>Mikhail Ryazanov | cleanup junk code, use correct and undistorted symbols |
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