Image:Legendre polaire y1 y2 y3.png

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[edit] Summary

Représentation polaire des trois premières harmoniques circulaires

Graphical representation of the three first circular harmonic in polar coordinates

Auteur/author : Christophe Dang Ngoc Chan (user:cdang)

Réalisé avec/made with : Scilab

clear;clf;

// Polynômes de Legendre, Yi = Pi(cos(t))

deff('y=Y1(t)','y=cos(t)');
deff('y=Y2(t)','y=0.25*(3*cos(2*t)+1)');
deff('y=Y3(t)','y=0.125*(5*cos(3*t)+3*cos(t))');

// domaine de définition

pas=0.05;
t=0:pas:2*%pi';

// Fonctions de base

y1=feval(t,Y1);
y2=feval(t,Y2);
y3=feval(t,Y3);

// Représentations polaires

R11=1+0.25*y1;
R21=1+0.25*y2;
R31=1+0.25*y3;

R12=y1.*y1;
R22=y2.*y2;
R32=y3.*y3;

// Tracé

subplot(3,2,1)
polarplot(t,R11,style=2)

subplot(3,2,2)
polarplot(t,R12,style=2)

subplot(3,2,3)
polarplot(t,R21,style=2)

subplot(3,2,4)
polarplot(t,R22,style=2)

subplot(3,2,5)
polarplot(t,R31,style=2)

subplot(3,2,6)
polarplot(t,R32,style=2)

[edit] Licensing

I, the copyright holder of this work, have published or hereby publish it under the following license: 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". Aragonés | العربية | Asturianu | Български | বাংলা | ইমার ঠার/বিষ্ণুপ্রিয়া মণিপুরী | Brezhoneg | Bosanski | Català | Cebuano | Česky | Dansk | Deutsch | Ελληνικά | English | Esperanto | Español | Eesti | Euskara | فارسی | Suomi | Français | Gaeilge | Galego | עברית | Hrvatski | Magyar | Bahasa Indonesia | Ido | Íslenska | Italiano | 日本語 | ქართული | ភាសាខ្មែរ | 한국어 | Kurdî / كوردی | Latina | Lëtzebuergesch | Lietuvių | Bahasa Melayu | Nnapulitano | Nederlands | ‪Norsk (nynorsk)‬ | ‪Norsk (bokmål)‬ | Occitan | Polski | Português | Română | Русский | Slovenčina | Slovenščina | Shqip | Српски / Srpski | Svenska | తెలుగు | ไทย | Türkçe | Українська | اردو | Tiếng Việt | Volapük | Yorùbá | ‪中文(中国大陆)‬ | ‪中文(台灣)‬ | +/-

La page ci-dessous contient cette image :

• Harmonique sphérique