File:Gezeitenpotential.png
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| Description |
Deutsch: Der lila Trichter ist das Gravitationspotential eines Körpers in seinem Zentrum. Allgemein gibt das Gefälle eines Potentials die Feldstärke eines Kraftfeldes an, hier die Fallbeschleunigung = Feldstärke des Gravitationsfeldes. Die rote Ebene hat das gleiche Gefälle wie der Trichter am Ort der blauen Kugel. Mit ihrem konstanten Gefälle ist die rote Ebene das Potential eines fiktiven homogenen Feldes, in dem frei fallende Probemassen konstante gegenseitige Abstände haben könnten. Die schwarze Fläche stellt die Differenz der beiden Potentiale dar. Es handelt sich um das Gezeitenpotential. Ein auf dieser Potentialfläche verteilter Schwarm von Probemassen wird verzerrt: Die Gezeitenbeschleunigung führt Probemassen, die sich weiter innen oder weiter außen befinden, von der blauen Kugel fort; jene dagegen, die neben ihr fallen, zu ihr hin. |
| Date | |
| Source | Own work |
| Author | Rainald62 |
Gnuplot script (author Rainald62):
reset
set terminal windows size 600,400
set parametric
set hidden
unset key
set dummy r,phi
set view 73,349
set hidden3d nooffset nobentover
set zrange [-3.5:1]
set xyplane at 0.2
set notics
set vrange [ -pi : pi ]
rLo = 0.3
rHi = 2
set urange [ rLo : rHi ]
nr = 12
np = 32
set isosamples nr+1, np+1
nrLo = 5
nrHi = 5
mr = 0.07
rClip = rLo+(rHi-rLo)*(nrHi+nrLo)/nr
dr(r) = r>rClip ? 1/0 : mr*((r-rLo)*nrHi - (rClip-r)*nrLo)
npPM = 7
mp = 0.7
pClip = npPM*2*pi/np
dp(phi) = abs(phi)>pClip ? 1/0 : mp*phi
r0 = 1.3
splot r0 , 0 , -1/r0+0.01 w p pt 7 ps 1 lt rgb "skyblue", \
r0 , 0 , 0.01 w p pt 7 ps 1 lt rgb "skyblue", \
r*cos(phi), r*sin(phi), -1/r lt 1, \
r0+dr(r) , -dp(phi) , (-1 + dr(r)/r0)/r0 lt rgb "red", \
r0+dr(r) , -dp(phi) , -(-1 + dr(r)/r0)/r0 \
-1/sqrt((r0+dr(r))**2+(phi*mp)**2) lt rgb "black"
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I, the copyright holder of this work, hereby publish 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. |
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 16:17, 23 April 2016 | | 394 × 255 (10 KB) | RokerHRO (talk | contribs) | optimized down to 41% |
| 01:51, 11 March 2015 |  | 394 × 255 (24 KB) | Rainald62 (talk | contribs) | {{Information |Description ={{de|1=Der lila Trichter ist das Gravitationspotential eines Körpers in seinem Zentrum. Allgemein gibt das Gefälle eines Potentials die Feldstärke eines Kraftfeldes an, hier die Fallbeschleunigung = Feldstärke des Gra... |
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