Laplace_Runge_Lenz_vector.svg
Size of this PNG preview of this SVG file:
800 × 450 pixels
.
Other resolutions:
320 × 180 pixels
|
640 × 360 pixels
|
1,024 × 576 pixels
|
1,280 × 720 pixels
|
2,560 × 1,440 pixels
|
1,920 × 1,080 pixels
.
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:
|
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 . |
|
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | |
| Attribution: I, Cronholm144 | ||
|
||
| 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
-
You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
-
Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.