Codebase list pysatellites / 077295d
Import Upstream version 2.5 Georges Khaznadar 4 years ago
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0 Jean-Baptiste BUTET <ashashiwa@gmail.com>
1 Bastien <bgraviere@gmail.com>
2 Georges Khaznadar <georgesk@ofset.org>
0
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675
0 JB : Jean-Baptiste BUTET
1 BG : Bastient GRAVIERE
2 GK : Georges Khaznadar
3
4 2008-03-12 : JB, interface graphique.
5 2008-04-08 : GK, méthode d'intégration, validation avec un champ de gravité
6 terrestre.
7 2008-04-11 : GK, modification de la fonction verifie_et_traduit afin de
8 faciliter l'entrée d'expressions complètes. Par exemple on peut
9 rentrer 2*3.14*(35786+6400)*1000/24/3600 comme vitesse
10 tangentielle d'un satellite géostationnaire, et on voit bien
11 l'orbite circulaire se construire.
12 2008-04-11 : GK, calcul de la période de révolution, dans le cas où l'énergie
13 mécanique Em est négative, par la méthode suivante (k=mMG) :
14 - calcul du grand axe : a = - k/2Em
15 - calcul de la période : T = 2pi(a³/k)^0.5
16 2008-04-12 : GK, mise en place d'une liste d'astres à l'aide de Wikipedia
17 et intégration avec l'application xplanet et les textures de
18 celestia pour tracer l'image de la planète. Changé les appels
19 à print pour tracer le programme en appels valués à self.debug
20 Changement de quelques widgets : combo pour choisir l'astre,
21 renseignements pour le comparer à la Terre.
22 2008-04-15 : GK, correction de la prise des données de vitesse. Redressé
23 l'axe Oy. Activé les graphiques pour Vx et Vy. Ajouté une
24 fonction d'agrandissement pour les graphiques.
25 2008-04-20 : GK, correction de problèmes avec le tracé et l'effacement de
26 points de la trajectoire, quelques changements de style,
27 amélioration des graphiques agrandis, implémenté le cas des
28 énergies mécaniques positives. Ajouté le traitement d'options
29 en ligne de commande. Réglé la gestion des chemins d'accès aux
30 répertoires.
31 2008-04-26 : GK, ajout de support pour créer une vidéo vue du satellite.
32 la vitesse initiale Vx a été réglée négative, pour un lancer
33 vers l'est. Séparation du code de vérification/calcul de
34 nombres flottants.
0 Le logiciel pysatellites permet de simuler le lancement d'un satellite
1 autour de nombreux astres connus. C'est un logiciel libre, diffusé sous
2 la licence GPL version 3. Voyez les fichiers COPYING Changelog et AUTHORS
3
4 Pour être pleinement fonctionnel, il est préférable d'installer en même
5 temps les logiciels libres xplanet et la base de données du logiciel celestia
6 ;) de toute façon, une personne intéressée par pysatellites sera très
7 probablement aussi intéressée par xplanet et celestia, pour de nombreux
8 usages complémentaires.
9
10 Certaines formules sont utilisées pour faciliter la simulation :
11 - la méthode d'intégration de Runge-Kutta qui est d'ordre 4, beaucoup
12 pkus efficace que al méthode d'Euler
13 - un calcul des paramètres de la trajectoire à partir des données connues
14 dès le lancement : énergie mécanique, grand axe, excentricité, période,
15 etc.
16
17 Le fondement théorique des méthodes emplyées est décrit dans le fichier
18 methodes.tm, qui s'ouvre à l'aide du logiciel libre TexMacs.
0 DESTDIR =
1
2 STELLARIUM_TEXTURES = /usr/share/stellarium/textures
3
4 all: user-interface pysatellites.1
5
6 pysatellites.1: manpage.xml
7 xsltproc --nonet /usr/share/sgml/docbook/stylesheet/xsl/nwalsh/manpages/docbook.xsl manpage.xml
8
9 clean:
10 rm -f *~ *.pyc
11 rm -f UI_*
12 rm -rf build
13
14 user-interface: UI_pysat.py UI_graphe.py
15
16 UI_%.py: %.ui
17 pyuic4 $< -o $@
18
19 install: all
20 mkdir -p $(DESTDIR)/usr/bin
21 install -m 755 pysatellites $(DESTDIR)/usr/bin
22 mkdir -p $(DESTDIR)/usr/share/applications
23 install -m 644 pysatellites.desktop $(DESTDIR)/usr/share/applications
24 mkdir -p $(DESTDIR)/usr/share/pysatellites
25 install -m 644 *.py $(DESTDIR)/usr/share/pysatellites
26 cp -a icones $(DESTDIR)/usr/share/pysatellites
27 # install images from stellarium-data;
28 # stellarium-data is not necessary later.
29 mkdir -p $(DESTDIR)/usr/share/pysatellites/images
30 for d in $(STELLARIUM_TEXTURES); do \
31 for f in $$(ls $$d/*.png); do \
32 g=$(DESTDIR)/usr/share/pysatellites/images/$$(echo $$(basename $$f)| sed -e 's/png/jpg/'); \
33 convert $$f $$g; \
34 done; \
35 done
36
37
38 .PHONY = user-interface install clean install-textures all install-for-debian
0 # -*- coding: utf-8 -*-
1 """La plupart de ces données ont été adaptées à partir de la version
2 anglaise de Wikipedia : http://en.wikipedia.org
3 """
4
5 from flottant import traduit
6
7 astreNom=[
8 # nom_local, nom_stellarium, masse_kg, rayon_km, commentaire, jour, flipped
9 # flipped fait référence à une propréiété dans le fichier Planet.cpp
10 # de src/libplanet du logiciel xplanet.
11
12 ["Terre","earth-clouds","6x10^24","6400","Planète du système solaire","1","1"],
13 ["Soleil","sun","6x10^31","695000","Étoile du système solaire","26","1"],
14 ["Lune","moon","7.33x10^22","1740","Lune de Terre","27.3216","1"],
15 ["Amalthée","amalthea","2.08x10^18","83.5","Lune de Jupiter","0.49817943","-1"],
16 ["Callisto","callisto","1.076x10^23 ","2410","Lune de Jupiter","16.6890184","-1"],
17 ["Deimos","deimos","1.48x10^15","6.2","Lune de Mars","1.26244","-1"],
18 ["Dione","dione","1.1x10^21","561","Lune de Saturne","2.736915","-1"],
19 ["Encelade","enceladus","1.08x10^20","252","Lune de Saturne","1.370218","-1"],
20 ["Épiméthée","epimetheus","57","5.3x10^17","Lune de Saturne","0.694333517","-1"],
21 ["Europe","europa","4.80x10^22","1569","Lune de Jupiter","3.551181","-1"],
22 ["Ganymède","ganymede","1.4819x10^23","2634","Lune de Jupiter","7.15455296","-1"],
23 ["Hyperion","hyperion","0.558x10^19","280","Lune de Saturne","21.27661","-1"],
24 ["Iapète","iapetus","1.80x10^21","1450","Lune de Saturne","79.3215","-1"],
25 ["Io","io","8.9319x10^22","1821.3","Lune de Jupiter","1.769137786","-1"],
26 ["Janus","janus","1.91x10^18","173","Lune de Saturne","0.694660342","-1"],
27 ["Jupiter","jupiter","1.90x10^27 ","70x10^3","Planète du système solaire","9.925/24","-1"],
28 ["Mars","mars","6.4185x10^23","3390","Planète du système solaire","1.025957","-1"],
29 ["Mercure","mercury","3.3022x10^23","2440","Planète du système solaire","58.646","-1"],
30 ["Mimas","mimas","3.7493x10^19","390","Lune de Saturne","0.9424218 ","-1"],
31 ["Miranda","miranda","6.59x10^19","470","Lune d'Uranus","1.413479","1"],
32 ["Neptune","neptune","1.0243x10^26","24750","Planète du système solaire","0.6713","-1"],
33 ["Obéron","oberon","3.014x10^21","761.4","Lune d'Uranus","13.463234","1"],
34 ["Phobos","phobos","1.07x10^16","11.1","Lune de Mars","0.318 910 23","-1"],
35 ["Pluton","pluto","1.30x10^22","1195","Planète du système solaire","-6.387230","1"],
36 ["Prométhée","prometheus","1.566x10^17","100","Lune de Saturne","0.612990038","-1"],
37 ["Protée","proteus","4.4x10^19","410","Lune de Neptune","1.12231477","-1"],
38 ["Rhéa","rhea","2.3065x10^21","1525","Lune de Saturne","4.518212","-1"],
39 ["Saturne","saturn","5.6846x10^26","60x10^3","Planète du système solaire","0.445","-1"],
40 ["Tethys","tethys","6.174x10^20","1060","Lune de Saturne","1.887802","-1"],
41 ["Titan","titan","1.345x10^23","2576","Lune de Saturne","15.945","-1"],
42 ["Triton","triton","2.14x10^22","1353","Lune de Neptune","-5.877","-1"],
43 ["Umbriel","umbriel","1.2x10^21","1169","Lune d'Uranus","4.144","1"],
44 ["Vénus","venus","4.8685x10^24","6051","Planète du système solaire","-243.0185","1"]
45 ]
46
47 class Astre:
48 def __init__(self,cle):
49 for a in astreNom:
50 if a[1]==cle: break
51 self.nom=a[0]
52 self.cle=cle
53 self.masse=traduit(a[2])
54 self.rayon=1000*traduit(a[3])
55 self.commentaire=a[4]
56 self.rotationSiderale=a[5] #unité jour
57 self.flip=a[6]
0 Jean-Baptiste BUTET <ashashiwa@gmail.com>
1 Bastien <bgraviere@gmail.com>
2 Georges Khaznadar <georgesk@ofset.org>
0
1 GNU GENERAL PUBLIC LICENSE
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326 modified object code on the User Product (for example, the work has
327 been installed in ROM).
328
329 The requirement to provide Installation Information does not include a
330 requirement to continue to provide support service, warranty, or updates
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332 the User Product in which it has been modified or installed. Access to a
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337 Corresponding Source conveyed, and Installation Information provided,
338 in accord with this section must be in a format that is publicly
339 documented (and with an implementation available to the public in
340 source code form), and must require no special password or key for
341 unpacking, reading or copying.
342
343 7. Additional Terms.
344
345 "Additional permissions" are terms that supplement the terms of this
346 License by making exceptions from one or more of its conditions.
347 Additional permissions that are applicable to the entire Program shall
348 be treated as though they were included in this License, to the extent
349 that they are valid under applicable law. If additional permissions
350 apply only to part of the Program, that part may be used separately
351 under those permissions, but the entire Program remains governed by
352 this License without regard to the additional permissions.
353
354 When you convey a copy of a covered work, you may at your option
355 remove any additional permissions from that copy, or from any part of
356 it. (Additional permissions may be written to require their own
357 removal in certain cases when you modify the work.) You may place
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359 for which you have or can give appropriate copyright permission.
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361 Notwithstanding any other provision of this License, for material you
362 add to a covered work, you may (if authorized by the copyright holders of
363 that material) supplement the terms of this License with terms:
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365 a) Disclaiming warranty or limiting liability differently from the
366 terms of sections 15 and 16 of this License; or
367
368 b) Requiring preservation of specified reasonable legal notices or
369 author attributions in that material or in the Appropriate Legal
370 Notices displayed by works containing it; or
371
372 c) Prohibiting misrepresentation of the origin of that material, or
373 requiring that modified versions of such material be marked in
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386 those licensors and authors.
387
388 All other non-permissive additional terms are considered "further
389 restrictions" within the meaning of section 10. If the Program as you
390 received it, or any part of it, contains a notice stating that it is
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393 a further restriction but permits relicensing or conveying under this
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401 where to find the applicable terms.
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406
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433 material under section 10.
434
435 9. Acceptance Not Required for Having Copies.
436
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470
471 11. Patents.
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475 work thus licensed is called the contributor's "contributor version".
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477 A contributor's "essential patent claims" are all patent claims
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535
536 Nothing in this License shall be construed as excluding or limiting
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538 otherwise be available to you under applicable patent law.
539
540 12. No Surrender of Others' Freedom.
541
542 If conditions are imposed on you (whether by court order, agreement or
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549 the Program, the only way you could satisfy both those terms and this
550 License would be to refrain entirely from conveying the Program.
551
552 13. Use with the GNU Affero General Public License.
553
554 Notwithstanding any other provision of this License, you have
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562
563 14. Revised Versions of this License.
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568 address new problems or concerns.
569
570 Each version is given a distinguishing version number. If the
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578
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587 later version.
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589 15. Disclaimer of Warranty.
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591 THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
592 APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
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600 16. Limitation of Liability.
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610 SUCH DAMAGES.
611
612 17. Interpretation of Sections 15 and 16.
613
614 If the disclaimer of warranty and limitation of liability provided
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616 reviewing courts shall apply local law that most closely approximates
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618 Program, unless a warranty or assumption of liability accompanies a
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620
621 END OF TERMS AND CONDITIONS
622
623 How to Apply These Terms to Your New Programs
624
625 If you develop a new program, and you want it to be of the greatest
626 possible use to the public, the best way to achieve this is to make it
627 free software which everyone can redistribute and change under these terms.
628
629 To do so, attach the following notices to the program. It is safest
630 to attach them to the start of each source file to most effectively
631 state the exclusion of warranty; and each file should have at least
632 the "copyright" line and a pointer to where the full notice is found.
633
634 <one line to give the program's name and a brief idea of what it does.>
635 Copyright (C) <year> <name of author>
636
637 This program is free software: you can redistribute it and/or modify
638 it under the terms of the GNU General Public License as published by
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640 (at your option) any later version.
641
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643 but WITHOUT ANY WARRANTY; without even the implied warranty of
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648 along with this program. If not, see <http://www.gnu.org/licenses/>.
649
650 Also add information on how to contact you by electronic and paper mail.
651
652 If the program does terminal interaction, make it output a short
653 notice like this when it starts in an interactive mode:
654
655 <program> Copyright (C) <year> <name of author>
656 This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
657 This is free software, and you are welcome to redistribute it
658 under certain conditions; type `show c' for details.
659
660 The hypothetical commands `show w' and `show c' should show the appropriate
661 parts of the General Public License. Of course, your program's commands
662 might be different; for a GUI interface, you would use an "about box".
663
664 You should also get your employer (if you work as a programmer) or school,
665 if any, to sign a "copyright disclaimer" for the program, if necessary.
666 For more information on this, and how to apply and follow the GNU GPL, see
667 <http://www.gnu.org/licenses/>.
668
669 The GNU General Public License does not permit incorporating your program
670 into proprietary programs. If your program is a subroutine library, you
671 may consider it more useful to permit linking proprietary applications with
672 the library. If this is what you want to do, use the GNU Lesser General
673 Public License instead of this License. But first, please read
674 <http://www.gnu.org/philosophy/why-not-lgpl.html>.
675
0 # -*- coding: utf-8 -*-
1
2 class Debug:
3 def __init__(self, debugLevel):
4 self.debugLevel=debugLevel
5
6 def __call__(self,level,msg):
7 if self.debugLevel > level:
8 print(msg)
0 # -*- coding: utf-8 -*-
1
2 def traduit(chaine):
3 """cette méthode vérifie la validité de la chaîne en fonction de sa provenance et, au besoin, transforme des expressions possibles (10^11) en grandeur acceptée par python"""
4 # on force le type chaîne pour pouvoir faire des évaluations.
5 chaine=str(chaine).replace(" ","") # et retrait de tous les espaces
6
7 #vérification de la présence d'un float correct, sinon tente des modifs.
8 try :
9 chaine=float(eval(chaine))
10 except :
11 chaine=chaine.replace("10^","e")
12 #remplace la chaine 10^ par e
13 else:
14 return chaine
15
16 try :
17 chaine=float(eval(chaine))
18 except :
19 #remplace les "x" pour la multiplication
20 chaine=chaine.replace("x","*")
21 chaine=chaine.replace("X","*")
22 else:
23 return chaine
24
25 try :
26 chaine=float(eval(chaine))
27 except :
28 #remplace les "*" devant un "e"
29 chaine=chaine.replace("*e","e")
30 else:
31 return chaine
32
33 try :
34 chaine=float(eval(chaine))
35 except :
36 #self.debug(0,u"Erreur : %s, même après les tranformations, n'est pas une expression acceptable" %chaine)
37 return 1.0
38 else:
39 return chaine
40 return 1.0
41
0 <ui version="4.0" >
1 <class>Graphe</class>
2 <widget class="QDialog" name="Graphe" >
3 <property name="geometry" >
4 <rect>
5 <x>0</x>
6 <y>0</y>
7 <width>302</width>
8 <height>516</height>
9 </rect>
10 </property>
11 <property name="windowTitle" >
12 <string>Dialog</string>
13 </property>
14 <widget class="QDialogButtonBox" name="buttonBox" >
15 <property name="geometry" >
16 <rect>
17 <x>110</x>
18 <y>480</y>
19 <width>81</width>
20 <height>32</height>
21 </rect>
22 </property>
23 <property name="orientation" >
24 <enum>Qt::Horizontal</enum>
25 </property>
26 <property name="standardButtons" >
27 <set>QDialogButtonBox::Close</set>
28 </property>
29 </widget>
30 <widget class="QLabel" name="grapheLabel" >
31 <property name="geometry" >
32 <rect>
33 <x>10</x>
34 <y>10</y>
35 <width>270</width>
36 <height>450</height>
37 </rect>
38 </property>
39 <property name="text" >
40 <string/>
41 </property>
42 </widget>
43 </widget>
44 <resources/>
45 <connections>
46 <connection>
47 <sender>buttonBox</sender>
48 <signal>accepted()</signal>
49 <receiver>Graphe</receiver>
50 <slot>accept()</slot>
51 <hints>
52 <hint type="sourcelabel" >
53 <x>248</x>
54 <y>254</y>
55 </hint>
56 <hint type="destinationlabel" >
57 <x>157</x>
58 <y>274</y>
59 </hint>
60 </hints>
61 </connection>
62 <connection>
63 <sender>buttonBox</sender>
64 <signal>rejected()</signal>
65 <receiver>Graphe</receiver>
66 <slot>reject()</slot>
67 <hints>
68 <hint type="sourcelabel" >
69 <x>316</x>
70 <y>260</y>
71 </hint>
72 <hint type="destinationlabel" >
73 <x>286</x>
74 <y>274</y>
75 </hint>
76 </hints>
77 </connection>
78 </connections>
79 </ui>
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0 Le logiciel pysatellites permet de simuler le lancement d'un satellite
1 autour de nombreux astres connus. C'est un logiciel libre, diffusé sous
2 la licence GPL version 3. Voyez les fichiers COPYING Changelog et AUTHORS
3
4 Pour être pleinement fonctionnel, il est préférable d'installer en même
5 temps les logiciels libres xplanet et la base de données du logiciel celestia
6 ;) de toute façon, une personne intéressée par pysatellites sera très
7 probablement aussi intéressée par xplanet et celestia, pour de nombreux
8 usages complémentaires.
9
10 Certaines formules sont utilisées pour faciliter la simulation :
11 - la méthode d'intégration de Runge-Kutta qui est d'ordre 4, beaucoup
12 pkus efficace que al méthode d'Euler
13 - un calcul des paramètres de la trajectoire à partir des données connues
14 dès le lancement : énergie mécanique, grand axe, excentricité, période,
15 etc.
16
17 Le fondement théorique des méthodes emplyées est décrit dans le fichier
18 methodes.tm, qui s'ouvre à l'aide du logiciel libre TexMacs.
0 #-*- coding: utf-8 -*-
1
2 """
3 code pour la fenêtre principale de pysatellites
4 """
5
6 licence="""
7 the file mainWindow.py is part of the package pysatellites.
8
9 Copyright (C) 2007-2008 Jean-Baptiste Butet <ashashiwa@gmail.com>,
10 (C) 2007-2008 Georges Khaznadar <georgesk@ofset.org>
11
12
13 This program is free software: you can redistribute it and/or modify
14 it under the terms of the GNU General Public License as published by
15 the Free Software Foundation, either version 3 of the License, or
16 (at your option) any later version.
17
18 This program is distributed in the hope that it will be useful,
19 but WITHOUT ANY WARRANTY; without even the implied warranty of
20 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
21 GNU General Public License for more details.
22
23 You should have received a copy of the GNU General Public License
24 along with this program. If not, see <http://www.gnu.org/licenses/>.
25 """
26
27 import sys, os
28 from PyQt4.QtCore import *
29 from PyQt4.QtGui import *
30 from glob import glob
31 from UI_pysat import Ui_MainWindow
32 from traj_satellite import Trajectoire
33 from math import pi, cos, sin, fabs
34 from astres import astreNom
35 from point import Point
36 from matplotlib_widget import MyMplCanvas
37 from repertoire import repertoire
38 from video import Cinema
39 import flottant as flottant
40 from debug import Debug
41
42 class StartQT4(QMainWindow):
43 def __init__(self, parent, rep=None , debugger=Debug(1), app=None):
44 QMainWindow.__init__(self)
45 QWidget.__init__(self, parent)
46 self.debug=debugger
47 self.app=app
48 self.ui = Ui_MainWindow()
49 self.ui.setupUi(self)
50 if rep == None:
51 self.rep=repertoire(sys.argv[0])
52 else:
53 self.rep=rep
54 self.trajectoire = Trajectoire(self.ui.afficheur, 6400, self, debugger=self.debug)
55 self.initAstres()
56 self.ui.masse_astre.setText(QApplication.translate("MainWindow", "6x10^24", None, QApplication.UnicodeUTF8))
57 self.ui.rayon_astre.setText(QApplication.translate("MainWindow", "6400", None, QApplication.UnicodeUTF8))
58 os.chdir(self.rep.chemin("defaut"))
59 self.image_sat=QPixmap("icones/sat_mini.gif")
60 self.connexions_signaux()
61 self.placeDepart()
62 self.cinemaThread=None
63 self.progress=None
64
65
66 def getRayonAstre(self):
67 return flottant.traduit(self.ui.rayon_astre.text())*1000
68
69 def placeDepart(self):
70 """
71 place la croix à la position de départ du satellite et figure
72 le vecteur vitesse
73 """
74 self.trajectoire.efface()
75 x=0
76 y=(flottant.traduit(self.ui.rayon_astre.text())+flottant.traduit(self.ui.altitude_objet.text()))*1000
77 self.trajectoire.setEchelle(y,"max")
78 vx=flottant.traduit(self.ui.vitesse_tangentielle_objet.text())
79 vy=flottant.traduit(self.ui.vitesse_normale_objet.text())
80
81 self.trajectoire.dessine([(x,y,0,vx,vy,0)])
82 self.trajectoire.update()
83
84 def initAstres(self):
85 """
86 Peuple le combo avec les noms d'astres
87 """
88 for a in astreNom:
89 self.ui.astreCombo.addItem(QApplication.translate("MainWindow", a[0], None, QApplication.UnicodeUTF8))
90 self.ui.astreCombo.setEditable(False)
91 self.ui.astreCombo.setCurrentIndex(0)
92 self.astreCourant="earth"
93 self.choisi_astre(0)
94
95 def connexions_signaux(self):
96 QObject.connect(self.ui.Bouton_Lancer,SIGNAL("clicked()"), self.trajectoire.lance)
97 QObject.connect(self.ui.Button_efface,SIGNAL("clicked()"), self.efface_trajectoire)
98 QObject.connect(self.ui.bouton_video,SIGNAL("clicked()"), self.cinema)
99 QObject.connect(self.ui.altitude_objet,SIGNAL("editingFinished()"), self.placeDepart)
100 QObject.connect(self.ui.astreCombo,SIGNAL("currentIndexChanged(int)"),self.choisi_astre)
101 QObject.connect(self.ui.radioButton_Frenet,SIGNAL("toggled(bool)"), self.choisi_coordoonees)
102 #QObject.connect(self.ui.checkBox_efface,SIGNAL("stateChanged(bool)"), self.change_comportement_effacege)
103 timer = QTimer(self);
104 QObject.connect(timer, SIGNAL("timeout()"), self.routines);
105 timer.start(1000);
106
107
108 self.ui.mTerre.setReadOnly (True)
109 self.ui.rTerre.setReadOnly (True)
110 self.ui.auSujetAstre.setReadOnly (True)
111
112 def change_comportement_effacege(self,int):
113 pass
114
115 def efface_trajectoire(self):
116 self.trajectoire.efface()
117 self.placeDepart()
118
119 def cinema(self):
120 if self.cinemaThread!=None and self.cinemaThread.isAlive():
121 return
122 import datetime,copy
123 from numpy import arange
124 date=datetime.datetime(2008,4,25)
125 date=date.today()
126 if self.trajectoire.traj != None:
127 liste_temps=arange(0,self.trajectoire.t,self.trajectoire.dt)
128 pas=10 # une image pour 10 calculs numériques
129 titre=QApplication.translate("MainWindow", "Calcul de la vidéo", None, QApplication.UnicodeUTF8)
130 legende=QApplication.translate("MainWindow", "Avancement ...", None, QApplication.UnicodeUTF8)
131 echap=QApplication.translate("MainWindow", "Arrêt", None, QApplication.UnicodeUTF8)
132 self.progress=QProgressDialog(legende,echap,0,len(liste_temps)/pas)
133 self.progress.setWindowTitle(titre)
134 self.progress.setValue(0)
135 self.progress.show()
136
137 # on lance le thread avec une copie de la liste calculée
138 self.cinemaThread=Cinema(self.rep, self.astreCourant, date,
139 liste_temps,
140 copy.copy(self.trajectoire.traj.pv),
141 "380x240",
142 pas=pas, boum=self.trajectoire.boum,
143 debugger=self.debug)
144 self.cinemaThread.start()
145
146 def routines(self):
147 if self.cinemaThread!=None and self.cinemaThread.isAlive():
148 self.progress.setValue(self.cinemaThread.nbImage)
149 if self.progress.wasCanceled():
150 self.progress.close()
151 self.cinemaThread.fini=True
152 if self.cinemaThread.fini:
153 self.progress.setValue(self.progress.maximum()+1)
154 if self.progress: self.progress.close()
155
156
157 def getMasseAstre(self):
158 return flottant.traduit(self.ui.masse_astre.text())
159 def getDistanceAstre(self):
160 return (flottant.traduit(self.ui.rayon_astre.text()) + flottant.traduit(self.ui.altitude_objet.text()))*1000 #passe en mètres
161 def getVitesse(self):
162 return (flottant.traduit(self.ui.vitesse_tangentielle_objet.text()),
163 flottant.traduit(self.ui.vitesse_normale_objet.text()))
164
165
166 def choisi_coordoonees(self,bool):
167 if self.ui.radioButton_Cartesiennes.isChecked()==True :
168 self.ui.label_V1.setText(QApplication.translate("MainWindow", "Vitesse selon Ox", None, QApplication.UnicodeUTF8))
169 self.ui.label_V2.setText(QApplication.translate("MainWindow", "Vitesse selon Oy", None, QApplication.UnicodeUTF8))
170
171 elif self.ui.radioButton_Cartesiennes.isChecked()==False :
172 self.ui.label_V1.setText(QApplication.translate("MainWindow", "Vitesse Tangentielle", None, QApplication.UnicodeUTF8))
173 self.ui.label_V2.setText(QApplication.translate("MainWindow", "Vitesse Normale", None, QApplication.UnicodeUTF8))
174
175
176 def choisi_astre(self,int):
177 """
178 choisit un astre parmi la liste disponible, sur la base du texte
179 couramment sélectionné dans le combo
180 @param int non utiliséé
181 """
182 mt0=astreNom[0][2]
183 rt0=astreNom[0][3]
184 astre=self.ui.astreCombo.currentText()
185 for a in astreNom:
186 if a[0]==astre:
187 self.trajectoire.choisi_astre(a[1])
188 self.astreCourant=a[1]
189 masse_astre=a[2]
190 rayon_astre=a[3]
191 self.ui.masse_astre.setText(QApplication.translate("MainWindow", masse_astre, None, QApplication.UnicodeUTF8))
192 self.ui.rayon_astre.setText(QApplication.translate("MainWindow", rayon_astre, None, QApplication.UnicodeUTF8))
193 mt=flottant.traduit(masse_astre)/flottant.traduit(mt0)
194 rt=flottant.traduit(rayon_astre)/flottant.traduit(rt0)
195 mt="%5g" %mt
196 rt="%5g" %rt
197 self.ui.mTerre.setText(QApplication.translate("MainWindow", mt, None, QApplication.UnicodeUTF8))
198 self.ui.rTerre.setText(QApplication.translate("MainWindow", rt, None, QApplication.UnicodeUTF8))
199 self.ui.auSujetAstre.setText(QApplication.translate("MainWindow", a[4], None, QApplication.UnicodeUTF8))
200 self.placeDepart()
201 self.trajectoire.update()
202 return
203 self.debug(0,"Astre inconnu : %s" %astre)
0 <?xml version='1.0' encoding='ISO-8859-1'?>
1 <!DOCTYPE refentry PUBLIC "-//OASIS//DTD DocBook XML V4.2//EN"
2 "http://www.oasis-open.org/docbook/xml/4.2/docbookx.dtd" [
3
4 <!--
5
6 Process this file with an XSLT processor: `xsltproc \
7 -''-nonet /usr/share/sgml/docbook/stylesheet/xsl/nwalsh/\
8 manpages/docbook.xsl manpage.dbk'. A manual page
9 <package>.<section> will be generated. You may view the
10 manual page with: nroff -man <package>.<section> | less'. A
11 typical entry in a Makefile or Makefile.am is:
12
13 DB2MAN=/usr/share/sgml/docbook/stylesheet/xsl/nwalsh/\
14 manpages/docbook.xsl
15 XP=xsltproc -''-nonet
16
17 manpage.1: manpage.dbk
18 $(XP) $(DB2MAN) $<
19
20 The xsltproc binary is found in the xsltproc package. The
21 XSL files are in docbook-xsl. Please remember that if you
22 create the nroff version in one of the debian/rules file
23 targets (such as build), you will need to include xsltproc
24 and docbook-xsl in your Build-Depends control field.
25
26 -->
27
28 <!-- Fill in your name for FIRSTNAME and SURNAME. -->
29 <!ENTITY dhfirstname "<firstname>Georges</firstname>">
30 <!ENTITY dhsurname "<surname>Khaznadar</surname>">
31 <!-- Please adjust the date whenever revising the manpage. -->
32 <!ENTITY dhdate "<date>mai 14, 2008</date>">
33 <!-- SECTION should be 1-8, maybe w/ subsection other parameters are
34 allowed: see man(7), man(1). -->
35 <!ENTITY dhsection "<manvolnum>1</manvolnum>">
36 <!ENTITY dhemail "<email>georgesk@ofset.org</email>">
37 <!ENTITY dhusername "Georges Khaznadar">
38 <!ENTITY dhucpackage "<refentrytitle>PYSATELLITES</refentrytitle>">
39 <!ENTITY dhpackage "pysatellites">
40
41 <!ENTITY debian "<productname>Debian</productname>">
42 <!ENTITY gnu "<acronym>GNU</acronym>">
43 <!ENTITY gpl "&gnu; <acronym>GPL</acronym>">
44 ]>
45
46 <refentry>
47 <refentryinfo>
48 <address>
49 &dhemail;
50 </address>
51 <copyright>
52 <year>2008</year>
53 <holder>&dhusername;</holder>
54 </copyright>
55 &dhdate;
56 </refentryinfo>
57 <refmeta>
58 &dhucpackage;
59
60 &dhsection;
61 </refmeta>
62 <refnamediv>
63 <refname>&dhpackage;</refname>
64
65 <refpurpose>simulates the launching of satellites</refpurpose>
66 </refnamediv>
67 <refsynopsisdiv>
68 <cmdsynopsis>
69 <command>&dhpackage;</command>
70
71 <arg><option>-d <replaceable>debuglevel</replaceable></option></arg>
72 <arg><option>--debug=<replaceable>debuglevel</replaceable></option></arg>
73 <arg><option>-f <replaceable>file</replaceable></option></arg>
74 <arg><option>--fichier=<replaceable>file</replaceable></option></arg>
75 <arg><option>-h </option></arg>
76 <arg><option>--help</option></arg>
77 </cmdsynopsis>
78 </refsynopsisdiv>
79 <refsect1>
80 <title>DESCRIPTION</title>
81
82 <para> This program can be used to train people to spatial mechanics at an
83 elementary level. You are given the power to launch a satellite, from
84 outside the atmosphere, around a handfull of predefined planets, or around
85 any special object you may imagine. Input the intial velocity vector of the
86 satellite, and you will get the simulated trajectory, as well as some
87 informations like the plots of variation of speed. As an extra, you can
88 compute a movie, which represents the planet seen from the satellite's
89 point of view during its orbital period.
90 </para>
91
92 </refsect1>
93 <refsect1>
94 <title>OPTIONS</title>
95
96 <variablelist>
97 <varlistentry>
98 <term><option>-h</option>
99 <option>--help</option>
100 </term>
101 <listitem>
102 <para>Show a short usage description.</para>
103 </listitem>
104 </varlistentry>
105 <varlistentry>
106 <term><option>-d <replaceable>debuglevel</replaceable></option>
107 <option>--debug=<replaceable>debuglevel</replaceable></option>
108 </term>
109 <listitem>
110 <para>Sets the debug level, from 0 to 10 (default = 0).</para>
111 </listitem>
112 </varlistentry>
113 <varlistentry>
114 <term><option>-f <replaceable>file</replaceable></option>
115 <option>--fichier=<replaceable>file</replaceable></option>
116 </term>
117 <listitem>
118 <para>Sets the configuration file (default: none)</para>
119 </listitem>
120 </varlistentry>
121 </variablelist>
122 </refsect1>
123 </refentry>
124
0 # embedding_in_qt4.py --- Simple Qt4 application embedding matplotlib canvases
1 #
2 # Copyright (C) 2005 Florent Rougon
3 # 2006 Darren Dale
4 #
5 # This file is an example program for matplotlib. It may be used and
6 # modified with no restriction; raw copies as well as modified versions
7 # may be distributed without limitation.
8
9 import sys, os, random
10 from PyQt4 import QtGui, QtCore
11 from numpy import arange, sin, pi
12 from matplotlib.backends.backend_qt4agg import FigureCanvasQTAgg as FigureCanvas
13 from matplotlib.figure import Figure
14 from PyQt4.QtCore import *
15 from PyQt4.QtGui import *
16 from UI_graphe import Ui_Graphe
17
18 progname = os.path.basename(sys.argv[0])
19 progversion = "0.1"
20
21
22 class MyMplCanvas(FigureCanvas):
23 """Ultimately, this is a QWidget (as well as a FigureCanvasAgg, etc.)."""
24 def __init__(self, parent, donnees, traitement, dates, width=0, height=0, dpi=100, cliquable=False, titre=""):
25 self.fig = Figure(figsize=(width, height), dpi=dpi )
26 FigureCanvas.__init__(self, self.fig)
27 self.setParent(parent)
28 FigureCanvas.setSizePolicy(self,
29 QtGui.QSizePolicy.Expanding,
30 QtGui.QSizePolicy.Expanding)
31 FigureCanvas.updateGeometry(self)
32 self.axes = self.fig.add_subplot(111)
33 a = self.axes.set_axis_off()
34 # We want the axes cleared every time plot() is called
35 self.axes.axison = False
36 self.axes.axis('off')
37 self.axes.hold(False)
38
39 self.cliquable=cliquable
40 self.donnees=donnees
41 self.traitement=traitement
42 self.dates=dates
43 self.titre=titre
44
45 self.plot(donnees, traitement, dates)
46
47
48 def mouseReleaseEvent(self, event):
49 if self.cliquable:
50 self.fils=QDialog()
51 self.fils.ui=Ui_Graphe()
52 self.fils.ui.setupUi(self.fils)
53 self.fils.setWindowTitle(QtGui.QApplication.translate("Graphe", self.titre, None, QtGui.QApplication.UnicodeUTF8))
54 self.fils.show()
55 ratio=2
56 w=3*ratio
57 h=5*ratio
58 d=90/ratio
59 self.fils.canvas=MyMplCanvas(self.fils.ui.grapheLabel,self.donnees, self.traitement, self.dates, width=w, height=h, dpi=d, cliquable=False, titre=self.titre)
60 self.fils.canvas.show()
61
62 def sizeHint(self):
63 w, h = self.get_width_height()
64 #print "w, h", w, h
65 return QtCore.QSize(w, h)
66
67 def minimumSizeHint(self):
68 return QtCore.QSize(10, 10)
69
70 def plot(self,donnees, traitement, dates):
71 d=[]
72 for dd in donnees:
73 d.append(traitement(dd))
74 self.axes.plot(dates,d)
75
0 <TeXmacs|1.0.6.11>
1
2 <style|article>
3
4 <\body>
5 <doc-data|<doc-title|Méthodes utilisées dans le logiciel \S pysatellites
6 \T>|<doc-author-data|<author-name|Georges Khaznadar
7 >|<author-email|georgesk@ofset.org>>>
8
9 <section|Utilité du logiciel \S pysatellites \T>
10
11 Le logiciel pysatellites sert à simuler le lancement de satellites autour
12 de diverses planètes. En France, ce logiciel est utilisé dans
13 l'enseignement au niveau du lycée. L'élève est invité à choisir une
14 planète, ou à préciser les paramètres de rayon et de masse qu'il veut, puis
15 il contrôle le point de lancment d'un satellite, sa vitesse radiale et sa
16 vitesse orthoradiale. Quand ce choix est fini, il lance la simulation et
17 voit quelle trajectoire le satellite peut alors suivre.
18
19 <section|Méthode utilisée pour la simulation>
20
21 La méthode est une méthode de calcul de proche en proche : à des
22 intervalles de temps réguliers, la vitesse et la position du satellite
23 connues sont utilisées afin de prédire sa position et sa vitesse un
24 intervalle de temps plus tard. On parle d'intégration numérique, car seule
25 la loi locale qui donne la force d'attraction appliquée au satellite est
26 prise en considération.
27
28 Un autre méthode serait possible : dans le cas d'un problème à un corps
29 plongé dans un potentiel newtonien, les équations de la dynamique du
30 satellite admettent des solutions algébriques que l'on sait déterminer.
31 J'ai utilisé un document synthétique publié sur Internet, à l'adresse\
32
33 <code*|http://melusine.eu.org/syracuse/immae/mpsi/physique-chimie/mecanique/08.pdf>
34
35 Ce document résume ce qu'on peut retenir comme propriété des coniques
36 (ellipses, parabole, hyperboles), et la solution connue du problème à un
37 corps dans un potentiel newtonien. On peut l'utiliser pour calculer sans
38 avoir à terminer la simulation divers paramètres. L'un d'entre eux est très
39 important, il s'agit de la période <math|T> du mouvement quand l'énergie
40 mécanique <math|E<rsub|m>> du satellite est négative, et que celui-ci
41 décrit une ellipse dans le puits de potentiel de l'astre qui l'attire.
42
43 <section|La méthode d'intégration de Runge-Kutta>
44
45 <section|Détermination de la période d'un mouvement elliptique>
46
47 On connaît la distance <math|r> du satellite à l'astre de masse <math|M>.
48 On en déduit facilement son énergie potentielle massique,
49 <math|E<rsub|p>/m=-<frac|GM|r>>, où <math|G=6,67.10<rsup|-11>u.s.i.> est la
50 constante universelle de gravitation. Connaissant sa vitesse radiale
51 <math|<wide|r<with|mode|text|<math|>>|\<dot\>>> et sa vitesse orthoradiale
52 <math|r<wide|\<theta\>|\<dot\>>>, on déduit son énergie cinétique massique,
53 <math|E<rsub|c>/m=<with|mode|text|<math|<wide|r|\<dot\>>>^2>+(<with|mode|text|<math|r<wide|\<theta\>|\<dot\>>>>)<rsup|2>>.
54 Il suffit d'aditionner les énergies pour parvenir à l'énergie mécanique
55 massique, <math|E<rsub|m>/m=-<frac|GM|r>+<with|mode|text|<math|<wide|r|\<dot\>>>^2>+(<with|mode|text|<math|r<wide|\<theta\>|\<dot\>>>>)<rsup|2>>.
56
57 Plusieurs cas se présentent alors :
58
59 <\enumerate-numeric>
60 <item><math|E<rsub|m>/m \<less\> 0> : le satellite reste dans le puits de
61 potentiel de l'astre, sa trajectoire est une ellipse, qu'il parcourt avec
62 une période <math|T>.
63
64 <item><with|mode|math|E<rsub|m>/m = 0> : le satellite n'est pas lié, il
65 possède tout juste la vitesse de libération, sa trajectoire est une
66 parabole, sa vitesse s'annule à l'infini.
67
68 <item><with|mode|math|E<rsub|m>/m \<gtr\> 0> : le satellite n'est pas
69 lié, sa vitesse à l'infini est non nulle, sa trajectoire est
70 hyperbolique.
71 </enumerate-numeric>
72
73 Dans le premier cas seulement, une période existe pour le mouvement du
74 satellite, et on la calcule ainsi : le grand axe <math|a> de l'ellipse se
75 déduit de la constante d'attraction (<math|k=GMm)> par la formule <math|a =
76 -k/2Em=<frac|-GM|2(-<frac|GM|r>+<with|mode|text|<math|<wide|r|\<dot\>>>^2>+(<with|mode|text|<math|r<wide|\<theta\>|\<dot\>>>>)<rsup|2>)>><math|>.
77 Connaissant le grand axe <math|a> de l'ellipse, on peut alors déterminer la
78 période <math|T> du mouvement grâce à la troisième loi de Kepler,
79 <math|T<rsup|2>=4\<pi\><rsup|2>/MG*a<rsup|3>>, soit
80 <math|T=2\<pi\><sqrt|<frac|1|MG*a<rsup|3>>|>>.
81
82 Quand la période <math|T> du mouvement est connue, on peut prendre comme
83 ordre de grandeur de l'intervalle de temps pour l'intégration, un centième
84 de cette période. Ça donne des résultats satisfaisants pour les mouvement
85 d'excentricité faible : c'est à dire que la trajectoire apparaît facilement
86 comme fermée à l'écran, au pixel près. Dans le cas d'ellipses fortement
87 excentriques, il faut diminuer le l'intervalle de temps utilisé pour
88 l'intégration.
89 </body>
90
91 <\initial>
92 <\collection>
93 <associate|language|french>
94 </collection>
95 </initial>
96
97 <\references>
98 <\collection>
99 <associate|auto-1|<tuple|1|1>>
100 <associate|auto-2|<tuple|2|1>>
101 <associate|auto-3|<tuple|3|1>>
102 <associate|auto-4|<tuple|4|1>>
103 </collection>
104 </references>
105
106 <\auxiliary>
107 <\collection>
108 <\associate|toc>
109 <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|1<space|2spc>Utilité
110 du logiciel \S pysatellites \T> <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
111 <no-break><pageref|auto-1><vspace|0.5fn>
112
113 <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|2<space|2spc>Méthode
114 utilisée pour la simulation> <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
115 <no-break><pageref|auto-2><vspace|0.5fn>
116
117 <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|3<space|2spc>La
118 méthode d'intégration de Runge-Kutta>
119 <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
120 <no-break><pageref|auto-3><vspace|0.5fn>
121
122 <vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|4<space|2spc>Détermination
123 de la période d'un mouvement elliptique>
124 <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
125 <no-break><pageref|auto-4><vspace|0.5fn>
126 </associate>
127 </collection>
128 </auxiliary>
0 #-*- coding: utf-8 -*-
1
2 from PyQt4.QtCore import *
3 from PyQt4.QtGui import *
4
5 class Point(QLabel):
6 def __init__(self, parent, point, color, numero, app, pred=None,type_de_point="petit"):
7 """
8 Crée un point graphique. Paramètres :
9 parent : widget parent
10 point : coordonnées (de type vecteur)
11 color : couleur
12 numero : numéro à afficher
13 app : l'application qui commande
14 pred : le point prédecesseur
15 type_de_point : un paramètre de style
16 """
17 QLabel.__init__(self, parent)
18 self.app=app
19 self.point, self.color = point,color
20 #self.setGeometry(QRect(0,0,640,480))
21 self.setGeometry(QRect(0,0,parent.width(),parent.height()))
22 self.numero=numero
23 self.type_de_point = type_de_point
24 if type_de_point=="petit" :
25 self.largeur=2
26 elif type_de_point=="gros" :
27 self.largeur=4
28 else :
29 self.largeur=2
30
31 def icone(self,nom):
32 return self.app.rep.fichier("icones",nom)
33
34 def paintEvent(self,event):
35 self.painter = QPainter()
36 self.painter.begin(self)
37 self.painter.setPen(QColor(self.color))
38 self.painter.translate(self.point[0], self.point[1])
39 if self.type_de_point=="boum" :
40 self.image_sat=QPixmap(self.icone("sat_mini_boum.png"))
41 self.painter.drawPixmap(0,0,self.image_sat)
42 elif self.type_de_point=="gros" :
43 self.image_sat=QPixmap(self.icone("sat_mini.png"))
44 self.painter.drawPixmap(0,0,self.image_sat)
45 self.painter.drawLine(-self.largeur,0,self.largeur,0)
46 self.painter.drawLine(0,-self.largeur,0,self.largeur)
47 elif self.type_de_point=="petit" :
48 self.painter.drawLine(-self.largeur,0,self.largeur,0)
49 self.painter.drawLine(0,-self.largeur,0,self.largeur)
50
51 self.painter.end()
0 <?xml version="1.0" encoding="UTF-8"?>
1 <ui version="4.0">
2 <class>MainWindow</class>
3 <widget class="QMainWindow" name="MainWindow">
4 <property name="geometry">
5 <rect>
6 <x>0</x>
7 <y>0</y>
8 <width>1005</width>
9 <height>690</height>
10 </rect>
11 </property>
12 <property name="windowTitle">
13 <string>pySatellite, simulateur de trajectoire plane de satellites</string>
14 </property>
15 <widget class="QWidget" name="centralwidget">
16 <layout class="QHBoxLayout" name="horizontalLayout_2">
17 <item>
18 <widget class="QLabel" name="afficheur">
19 <property name="sizePolicy">
20 <sizepolicy hsizetype="Minimum" vsizetype="Minimum">
21 <horstretch>0</horstretch>
22 <verstretch>0</verstretch>
23 </sizepolicy>
24 </property>
25 <property name="minimumSize">
26 <size>
27 <width>560</width>
28 <height>650</height>
29 </size>
30 </property>
31 <property name="autoFillBackground">
32 <bool>true</bool>
33 </property>
34 <property name="styleSheet">
35 <string/>
36 </property>
37 <property name="frameShape">
38 <enum>QFrame::Panel</enum>
39 </property>
40 <property name="frameShadow">
41 <enum>QFrame::Raised</enum>
42 </property>
43 <property name="lineWidth">
44 <number>3</number>
45 </property>
46 <property name="text">
47 <string/>
48 </property>
49 </widget>
50 </item>
51 <item>
52 <widget class="QFrame" name="frame">
53 <property name="sizePolicy">
54 <sizepolicy hsizetype="Maximum" vsizetype="Preferred">
55 <horstretch>0</horstretch>
56 <verstretch>0</verstretch>
57 </sizepolicy>
58 </property>
59 <property name="maximumSize">
60 <size>
61 <width>245</width>
62 <height>16777215</height>
63 </size>
64 </property>
65 <property name="frameShape">
66 <enum>QFrame::StyledPanel</enum>
67 </property>
68 <property name="frameShadow">
69 <enum>QFrame::Raised</enum>
70 </property>
71 <layout class="QVBoxLayout" name="verticalLayout_2">
72 <item>
73 <widget class="QGroupBox" name="groupBox_3">
74 <property name="title">
75 <string>Objet lancé</string>
76 </property>
77 <layout class="QFormLayout" name="formLayout">
78 <item row="0" column="0">
79 <widget class="QLabel" name="label_4">
80 <property name="text">
81 <string>Masse (kg)</string>
82 </property>
83 </widget>
84 </item>
85 <item row="0" column="1">
86 <widget class="QLineEdit" name="masse_objet">
87 <property name="text">
88 <string>100</string>
89 </property>
90 </widget>
91 </item>
92 <item row="1" column="0">
93 <widget class="QLabel" name="label_5">
94 <property name="text">
95 <string>altitude (km)</string>
96 </property>
97 </widget>
98 </item>
99 <item row="1" column="1">
100 <widget class="QLineEdit" name="altitude_objet">
101 <property name="text">
102 <string>1000</string>
103 </property>
104 </widget>
105 </item>
106 </layout>
107 </widget>
108 </item>
109 <item>
110 <widget class="QGroupBox" name="groupBox_4">
111 <property name="title">
112 <string>Vitesses au départ (m/s)</string>
113 </property>
114 <layout class="QFormLayout" name="formLayout_2">
115 <item row="0" column="0">
116 <widget class="QLabel" name="label_6">
117 <property name="text">
118 <string>Vx (tangentielle)</string>
119 </property>
120 </widget>
121 </item>
122 <item row="0" column="1">
123 <widget class="QLineEdit" name="vitesse_tangentielle_objet">
124 <property name="text">
125 <string>-4000</string>
126 </property>
127 </widget>
128 </item>
129 <item row="1" column="0">
130 <widget class="QLabel" name="label_7">
131 <property name="text">
132 <string>Vy (normale)</string>
133 </property>
134 </widget>
135 </item>
136 <item row="1" column="1">
137 <widget class="QLineEdit" name="vitesse_normale_objet">
138 <property name="text">
139 <string>0</string>
140 </property>
141 </widget>
142 </item>
143 </layout>
144 </widget>
145 </item>
146 <item>
147 <widget class="QGroupBox" name="groupBox_5">
148 <property name="title">
149 <string>Astre défini</string>
150 </property>
151 <layout class="QGridLayout" name="gridLayout_3">
152 <item row="0" column="0">
153 <widget class="QLabel" name="label_11">
154 <property name="text">
155 <string>Masse (kg)</string>
156 </property>
157 </widget>
158 </item>
159 <item row="0" column="1">
160 <widget class="QLineEdit" name="masse_astre">
161 <property name="text">
162 <string>6*10^24</string>
163 </property>
164 </widget>
165 </item>
166 <item row="1" column="0">
167 <widget class="QLabel" name="label_10">
168 <property name="text">
169 <string>Rayon (km)</string>
170 </property>
171 </widget>
172 </item>
173 <item row="1" column="1">
174 <widget class="QLineEdit" name="rayon_astre"/>
175 </item>
176 </layout>
177 </widget>
178 </item>
179 <item>
180 <widget class="QGroupBox" name="groupBox">
181 <property name="sizePolicy">
182 <sizepolicy hsizetype="Minimum" vsizetype="Preferred">
183 <horstretch>0</horstretch>
184 <verstretch>0</verstretch>
185 </sizepolicy>
186 </property>
187 <property name="title">
188 <string>Astres connus</string>
189 </property>
190 <layout class="QGridLayout" name="gridLayout_2">
191 <item row="0" column="0" colspan="2">
192 <widget class="QComboBox" name="astreCombo"/>
193 </item>
194 <item row="1" column="0">
195 <widget class="QLineEdit" name="mTerre">
196 <property name="sizePolicy">
197 <sizepolicy hsizetype="Minimum" vsizetype="Fixed">
198 <horstretch>0</horstretch>
199 <verstretch>0</verstretch>
200 </sizepolicy>
201 </property>
202 <property name="minimumSize">
203 <size>
204 <width>100</width>
205 <height>0</height>
206 </size>
207 </property>
208 </widget>
209 </item>
210 <item row="1" column="1">
211 <widget class="QLabel" name="label_12">
212 <property name="text">
213 <string>M. terrestres</string>
214 </property>
215 </widget>
216 </item>
217 <item row="2" column="0">
218 <widget class="QLineEdit" name="rTerre">
219 <property name="sizePolicy">
220 <sizepolicy hsizetype="Minimum" vsizetype="Fixed">
221 <horstretch>0</horstretch>
222 <verstretch>0</verstretch>
223 </sizepolicy>
224 </property>
225 <property name="minimumSize">
226 <size>
227 <width>100</width>
228 <height>0</height>
229 </size>
230 </property>
231 </widget>
232 </item>
233 <item row="3" column="0" colspan="2">
234 <widget class="QTextEdit" name="auSujetAstre">
235 <property name="sizePolicy">
236 <sizepolicy hsizetype="Expanding" vsizetype="Maximum">
237 <horstretch>0</horstretch>
238 <verstretch>0</verstretch>
239 </sizepolicy>
240 </property>
241 <property name="maximumSize">
242 <size>
243 <width>16777215</width>
244 <height>46</height>
245 </size>
246 </property>
247 </widget>
248 </item>
249 <item row="2" column="1">
250 <widget class="QLabel" name="label_13">
251 <property name="minimumSize">
252 <size>
253 <width>0</width>
254 <height>0</height>
255 </size>
256 </property>
257 <property name="text">
258 <string>R. terrestres</string>
259 </property>
260 </widget>
261 </item>
262 </layout>
263 </widget>
264 </item>
265 <item>
266 <widget class="QGroupBox" name="groupBox_8">
267 <property name="title">
268 <string>Visualiser le satellite</string>
269 </property>
270 <layout class="QHBoxLayout" name="horizontalLayout">
271 <item>
272 <widget class="QLabel" name="label_2">
273 <property name="text">
274 <string>chaque ...</string>
275 </property>
276 </widget>
277 </item>
278 <item>
279 <widget class="QLineEdit" name="intervale">
280 <property name="text">
281 <string>3600</string>
282 </property>
283 </widget>
284 </item>
285 <item>
286 <widget class="QLabel" name="label_20">
287 <property name="accessibleDescription">
288 <string>temps entre chaque point</string>
289 </property>
290 <property name="text">
291 <string>s</string>
292 </property>
293 <property name="alignment">
294 <set>Qt::AlignCenter</set>
295 </property>
296 </widget>
297 </item>
298 </layout>
299 </widget>
300 </item>
301 <item>
302 <widget class="QGroupBox" name="groupBox_7">
303 <property name="title">
304 <string>Actions</string>
305 </property>
306 <layout class="QGridLayout" name="gridLayout">
307 <item row="0" column="0">
308 <widget class="QPushButton" name="Bouton_Lancer">
309 <property name="text">
310 <string>Lancer l'objet</string>
311 </property>
312 </widget>
313 </item>
314 <item row="0" column="1">
315 <widget class="QPushButton" name="Button_efface">
316 <property name="text">
317 <string>Effacer</string>
318 </property>
319 </widget>
320 </item>
321 <item row="1" column="0">
322 <widget class="QPushButton" name="bouton_video">
323 <property name="text">
324 <string>Vidéo</string>
325 </property>
326 </widget>
327 </item>
328 <item row="1" column="1">
329 <widget class="QCheckBox" name="checkBox_efface">
330 <property name="sizePolicy">
331 <sizepolicy hsizetype="Minimum" vsizetype="Fixed">
332 <horstretch>0</horstretch>
333 <verstretch>0</verstretch>
334 </sizepolicy>
335 </property>
336 <property name="text">
337 <string>chaque fois</string>
338 </property>
339 </widget>
340 </item>
341 </layout>
342 </widget>
343 </item>
344 </layout>
345 </widget>
346 </item>
347 <item>
348 <widget class="QGroupBox" name="groupBox_2">
349 <property name="sizePolicy">
350 <sizepolicy hsizetype="Maximum" vsizetype="Preferred">
351 <horstretch>0</horstretch>
352 <verstretch>0</verstretch>
353 </sizepolicy>
354 </property>
355 <property name="maximumSize">
356 <size>
357 <width>170</width>
358 <height>16777215</height>
359 </size>
360 </property>
361 <property name="title">
362 <string>Vitesses</string>
363 </property>
364 <layout class="QVBoxLayout" name="verticalLayout">
365 <item>
366 <widget class="QRadioButton" name="radioButton_Cartesiennes">
367 <property name="text">
368 <string>coord. cartésiennes</string>
369 </property>
370 <property name="checked">
371 <bool>true</bool>
372 </property>
373 </widget>
374 </item>
375 <item>
376 <widget class="QRadioButton" name="radioButton_Frenet">
377 <property name="text">
378 <string>repère de frénet</string>
379 </property>
380 <property name="checked">
381 <bool>false</bool>
382 </property>
383 </widget>
384 </item>
385 <item>
386 <widget class="QLabel" name="label_V1">
387 <property name="text">
388 <string>Vitesse selon OX</string>
389 </property>
390 </widget>
391 </item>
392 <item>
393 <widget class="QLabel" name="label_vitx">
394 <property name="sizePolicy">
395 <sizepolicy hsizetype="Minimum" vsizetype="Minimum">
396 <horstretch>0</horstretch>
397 <verstretch>0</verstretch>
398 </sizepolicy>
399 </property>
400 <property name="minimumSize">
401 <size>
402 <width>101</width>
403 <height>141</height>
404 </size>
405 </property>
406 <property name="toolTip">
407 <string>Cliquez pour agrandir</string>
408 </property>
409 <property name="frameShape">
410 <enum>QFrame::Box</enum>
411 </property>
412 <property name="text">
413 <string/>
414 </property>
415 </widget>
416 </item>
417 <item>
418 <widget class="QLabel" name="label_V2">
419 <property name="text">
420 <string>Vitesse selon OY</string>
421 </property>
422 </widget>
423 </item>
424 <item>
425 <widget class="QLabel" name="label_vity">
426 <property name="sizePolicy">
427 <sizepolicy hsizetype="Minimum" vsizetype="Minimum">
428 <horstretch>0</horstretch>
429 <verstretch>0</verstretch>
430 </sizepolicy>
431 </property>
432 <property name="minimumSize">
433 <size>
434 <width>101</width>
435 <height>141</height>
436 </size>
437 </property>
438 <property name="toolTip">
439 <string>Cliquez pour agrandir</string>
440 </property>
441 <property name="frameShape">
442 <enum>QFrame::Box</enum>
443 </property>
444 <property name="text">
445 <string/>
446 </property>
447 </widget>
448 </item>
449 <item>
450 <widget class="QLabel" name="label_14">
451 <property name="text">
452 <string>Norme de la vitesse</string>
453 </property>
454 </widget>
455 </item>
456 <item>
457 <widget class="QLabel" name="label_vit_norm">
458 <property name="sizePolicy">
459 <sizepolicy hsizetype="Minimum" vsizetype="Minimum">
460 <horstretch>0</horstretch>
461 <verstretch>0</verstretch>
462 </sizepolicy>
463 </property>
464 <property name="minimumSize">
465 <size>
466 <width>101</width>
467 <height>141</height>
468 </size>
469 </property>
470 <property name="toolTip">
471 <string>Cliquez pour agrandir</string>
472 </property>
473 <property name="frameShape">
474 <enum>QFrame::Box</enum>
475 </property>
476 <property name="text">
477 <string/>
478 </property>
479 </widget>
480 </item>
481 <item>
482 <widget class="QLabel" name="label">
483 <property name="text">
484 <string>(Cliquez pour agrandir)</string>
485 </property>
486 </widget>
487 </item>
488 </layout>
489 </widget>
490 </item>
491 </layout>
492 </widget>
493 <widget class="QStatusBar" name="statusbar"/>
494 </widget>
495 <resources/>
496 <connections>
497 <connection>
498 <sender>Button_efface</sender>
499 <signal>pressed()</signal>
500 <receiver>afficheur</receiver>
501 <slot>clear()</slot>
502 <hints>
503 <hint type="sourcelabel">
504 <x>244</x>
505 <y>579</y>
506 </hint>
507 <hint type="destinationlabel">
508 <x>241</x>
509 <y>519</y>
510 </hint>
511 </hints>
512 </connection>
513 </connections>
514 </ui>
0 #!/bin/sh
1
2 exec python3 /usr/share/pysatellites/pysatellites.py
0 .\" Title: PYSATELLITES
1 .\" Author:
2 .\" Generator: DocBook XSL Stylesheets v1.73.2 <http://docbook.sf.net/>
3 .\" Date: mai 14, 2008
4 .\" Manual:
5 .\" Source:
6 .\"
7 .TH "PYSATELLITES" "1" "mai 14, 2008" "" ""
8 .\" disable hyphenation
9 .nh
10 .\" disable justification (adjust text to left margin only)
11 .ad l
12 .SH "NAME"
13 pysatellites - simulates the launching of satellites
14 .SH "SYNOPSIS"
15 .HP 13
16 \fBpysatellites\fR [\fB\-d\ \fR\fB\fIdebuglevel\fR\fR] [\fB\-\-debug=\fR\fB\fIdebuglevel\fR\fR] [\fB\-f\ \fR\fB\fIfile\fR\fR] [\fB\-\-fichier=\fR\fB\fIfile\fR\fR] [\fB\-h\ \fR] [\fB\-\-help\fR]
17 .SH "DESCRIPTION"
18 .PP
19 This program can be used to train people to spatial mechanics at an elementary level\. You are given the power to launch a satellite, from outside the atmosphere, around a handfull of predefined planets, or around any special object you may imagine\. Input the intial velocity vector of the satellite, and you will get the simulated trajectory, as well as some informations like the plots of variation of speed\. As an extra, you can compute a movie, which represents the planet seen from the satellite\'s point of view during its orbital period\.
20 .SH "OPTIONS"
21 .PP
22 \fB\-h\fR \fB\-\-help\fR
23 .RS 4
24 Show a short usage description\.
25 .RE
26 .PP
27 \fB\-d \fR\fB\fIdebuglevel\fR\fR \fB\-\-debug=\fR\fB\fIdebuglevel\fR\fR
28 .RS 4
29 Sets the debug level, from 0 to 10 (default = 0)\.
30 .RE
31 .PP
32 \fB\-f \fR\fB\fIfile\fR\fR \fB\-\-fichier=\fR\fB\fIfile\fR\fR
33 .RS 4
34 Sets the configuration file (default: none)
35 .RE
36 .SH "COPYRIGHT"
37 Copyright \(co 2008 Georges Khaznadar
38 .br
0 [Desktop Entry]
1 Name=pySatellites
2 Comment=Interactive simulator for launching satellites
3 Comment[fr_FR.UTF-8]=Simulateur interactif de lancement de satellites
4 Exec=pysatellites
5 Icon=pysatellites
6 Terminal=false
7 Type=Application
8 Categories=Video;Education;Science;
0 #-*- coding: utf-8 -*-
1
2 licence="""
3 pysatellites : a program to plot trajectories of satellites
4 Copyright (C) 2007-2008 Jean-Baptiste Butet <ashashiwa@gmail.com>,
5 (C) 2007-2008 Georges Khaznadar <georgesk@ofset.org>
6
7
8 This program is free software: you can redistribute it and/or modify
9 it under the terms of the GNU General Public License as published by
10 the Free Software Foundation, either version 3 of the License, or
11 (at your option) any later version.
12
13 This program is distributed in the hope that it will be useful,
14 but WITHOUT ANY WARRANTY; without even the implied warranty of
15 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
16 GNU General Public License for more details.
17
18 You should have received a copy of the GNU General Public License
19 along with this program. If not, see <http://www.gnu.org/licenses/>.
20 """
21
22 licence_fr="""
23 pysatellites : un programme pour tracer les trajectoires de satellites
24 Copyright (C) 2007-2008 Jean-Baptiste Butet <ashashiwa@gmail.com>,
25 (C) 2007-2008 Georges Khaznadar <georgesk@ofset.org>
26
27 Ce projet est un logiciel libre : vous pouvez le redistribuer, le modifier selon les terme de la GPL (GNU Public License) dans les termes de la Free Software Foundation concernant la version 3 ou plus de la dite licence.
28
29 Ce programme est fait avec l'espoir qu'il sera utile mais SANS AUCUNE GARANTIE. Lisez la licence pour plus de détails.
30
31 <http://www.gnu.org/licenses/>.
32 """
33
34 import sys
35 from PyQt4.QtCore import *
36 from PyQt4.QtGui import *
37 from debug import Debug
38 from mainWindow import StartQT4
39
40
41
42
43 def usage():
44 print ("Usage : pysatellites [-h | --help] [-d n | --debug=n] [-f fichier | --fichier=fichier]")
45 sys.exit(0)
46
47 def run():
48 app = QApplication(sys.argv)
49
50 #translation
51 #locale = QLocale.system().name()
52
53 #qtTranslator = QTranslator()
54 #if qtTranslator.load("qt_" + locale):
55 # app.installTranslator(qtTranslator)
56 #appTranslator = QTranslator()
57
58 # if appTranslator.load("lang/pyfocus_" + locale):
59 #app.installTranslator(appTranslator)
60
61 from getopt import getopt
62 optlist, argv=getopt(sys.argv[1:],"d:f:h",["debug=","fichier=","help"])
63
64 debugger=Debug(0)
65 for (cle,val) in optlist:
66 if cle=="-d" or cle=="--debug":
67 debugger=Debug(int(val))
68 if cle=="-h" or cle=="--help":
69 usage()
70 if cle=="-f" or cle=="--fichier":
71 print ("On ne sait pas encore quoi faire de '%s', la fonctionnalité gouvernée par '%s' reste à implémenter." %(val,cle))
72
73 windows = StartQT4(None, debugger=debugger, app=app)
74 windows.show()
75 sys.exit(app.exec_())
76
77 if __name__ == "__main__":
78 run()
0 # -*- coding: utf-8 -*-
1
2 from PyQt4.QtGui import *
3 from PyQt4.QtCore import *
4 from debug import Debug
5
6 class Rs(QWidget):
7 def __init__(self, parent, geometry=None,
8 image=None, text=None,
9 color=QColor("grey"),
10 debuglevel=0,
11 onPress=None,
12 onRelease=None,
13 onDoubleClick=None,
14 onMove=None,
15 debugger=Debug(0)):
16 QWidget.__init__(self,parent)
17 if geometry==None: # le widget recouvrira le parent
18 if parent!=None:
19 self.setGeometry(QRect(0,0,parent.width(),parent.height()))
20 else:
21 self.setGeometry(QRect(0,0,100,100))
22 else:
23 self.setGeometry(geometry)
24 self.setMouseTracking(True)
25 self.image=image
26 self.text=text
27 self.color=color
28 self.debug=debugger
29 self.onPress=onPress
30 self.onRelease=onRelease
31 self.onDoubleClick=onDoubleClick
32 self.onMove=onMove
33
34 def mousePressEvent(self,ev):
35 if self.onPress != None:
36 return self.onPress(ev)
37 else:
38 self.debug(9, "event onPress still to implement")
39 def mouseReleaseEvent(self,ev):
40 if self.onRelease != None:
41 return self.onRelease(ev)
42 else:
43 self.debug(9, "event onRelease still to implement")
44 def mouseMoveEvent(self,ev):
45 if self.onMove != None:
46 return self.onMove(ev)
47 else:
48 self.debug(9, "event onMove still to implement ... x=%s, y=%s" %(ev.x(),ev.y()))
49 def mouseDoubleClickEvent(self,ev):
50 if self.onDoubleClick != None:
51 return self.onDoubleClick(ev)
52 else:
53 self.debug(9, "event onDoubleClick still to implement")
54
55 def paintEvent(self, event):
56 QWidget.paintEvent(self,event)
57 self.painter = QPainter()
58 self.painter.begin(self)
59 if self.color !=None:
60 self.painter.fillRect(QRect(0,0,self.width(),self.height()),
61 self.color)
62 if self.image != None:
63 self.painter.drawImage(0,0,self.image)
64 if self.text != None:
65 self.painter.drawText(0,0,self.text)
66 self.painter.end()
67
68 class RsImage(Rs):
69 """Une classe dérivée du rectangle sensible Rs, qui contient
70 une image et se place en x,y sur le parent
71 """
72 def __init__(self, parent, x, y, image,
73 text=None,
74 color=QColor("grey"),
75 onPress=None,
76 onRelease=None,
77 onDoubleClick=None,
78 onMove=None,
79 debugger=Debug(0)):
80 rect=QRect(x,y,image.size().width(), image.size().height())
81 Rs.__init__(self, parent, rect, image=image,
82 text=None,
83 color=color,
84 onPress=onPress,
85 onRelease=onRelease,
86 onDoubleClick=onDoubleClick,
87 onMove=onMove,
88 debugger=debugger)
0 # -*- coding: utf-8 -*-
1
2 import os.path
3
4 class repertoire:
5 def __init__(self, chemin):
6 self.chemin0=os.path.abspath(chemin)
7 if os.path.isfile(self.chemin0):
8 self.chemin0=os.path.dirname(self.chemin0)
9
10 def chemin(self,choix="defaut"):
11 if choix=="defaut":
12 return self.chemin0
13 if choix=="textures":
14 for d in [self.chemin0, "/usr/share/pysatellites"]:
15 if os.path.exists(d+'/images/earth-clouds.jpg'):
16 return d
17 print ("erreur : pas de répertoire des planètes")
18 print ("=== Il manque les textures de Stellarium ===")
19 raise(IOError)
20 elif os.path.isdir(os.path.join(self.chemin0,choix)):
21 return os.path.join(self.chemin0,choix)
22 else:
23 raise(IOError)
24 def fichier(self,*elementsDeChemin):
25 f=self.chemin0
26 for e in elementsDeChemin:
27 f=os.path.join(f,e)
28 return f
29
0 # -*- coding: utf-8 -*-
1 # Résolution numérique d'un problème à un corps soumis à un
2 # potentiel newtonien (en 1/r^2)
3 # d'équa. diff. vec{r}'' = -k/m vec{r}/r^3
4 # le vecteur de données considéré sera le vecteur (x, y , vx, vy)
5 # dont la dérivée est (vx, vy, -k/m*x/(x^2+y^2)^3/2, -k/m*y/(x^2+y^2)^3/2)
6
7 from numpy import *
8 from pylab import *
9 from PyQt4.QtCore import *
10 from PyQt4.QtGui import *
11 from point import Point
12 import os, tempfile, time
13 from matplotlib_widget import MyMplCanvas
14 import flottant as flottant
15 from rectangle_sensible import Rs
16 from debug import Debug
17
18 def rk4(derivs, y0, t):
19 """
20 C'est le code de rk4 pris dans le module matplotplib.
21
22 Liste des paramètres d'entrée
23
24 derivs :
25 une fonction qui accepte en entrée un 6-uplet position,vitesse
26 et le papramètre temps, et qui renvoie en sortie un 6-uplet de dérivées.
27 y0 :
28 un 6-uplet représentant la position et la vitesse initiales
29 t :
30 une liste de dates régulièrement espacées pour lesquelles on veut
31 construire les points et vitessesde la trajectoire
32
33 Résultat de la fonction :
34 une liste de 6-uplets représentant les positions et vitesses aux
35 instants de la liste des dates données.
36 """
37 Float=0.0
38 try: Ny = len(y0)
39 except TypeError:
40 yout = zeros( (len(t),), float)
41 else:
42 yout = zeros( (len(t), Ny), float)
43 yout[0] = y0
44 i = 0
45 for i in arange(len(t)-1):
46 thist = t[i]
47 dt = t[i+1] - thist
48 dt2 = dt/2.0
49 y0 = yout[i]
50 k1 = asarray(derivs(y0, thist))
51 k2 = asarray(derivs(y0 + dt2*k1, thist+dt2))
52 k3 = asarray(derivs(y0 + dt2*k2, thist+dt2))
53 k4 = asarray(derivs(y0 + dt*k3, thist+dt))
54 yout[i+1] = y0 + dt/6.0*(k1 + 2*k2 + 2*k3 + k4)
55 return yout
56
57
58 def euler(derivs, y0, t):
59 """
60 C'est le code de la méthode d'Euler, qui est d'ordre 1 et très simple.
61
62 Liste des paramètres d'entrée
63
64 derivs :
65 une fonction qui accepte en entrée un 6-uplet position,vitesse
66 et le papramètre temps, et qui renvoie en sortie un 6-uplet de dérivées.
67 y0 :
68 un 6-uplet représentant la position et la vitesse initiales
69 t :
70 une liste de dates régulièrement espacées pour lesquelles on veut
71 construire les points et vitessesde la trajectoire
72
73 Résultat de la fonction :
74 une liste de 6-uplets représentant les positions et vitesses aux
75 instants de la liste des dates données.
76 """
77 try: Ny = len(y0)
78 except TypeError:
79 yout = zeros( (len(t),), Float)
80 else:
81 yout = zeros( (len(t), Ny), Float)
82 yout[0] = y0
83 i = 0
84 for i in arange(len(t)-1):
85 thist = t[i]
86 dt = t[i+1] - thist
87 y0 = yout[i]
88 k1 = asarray(derivs(y0, thist))
89 yout[i+1] = y0 + dt*k1
90 return yout
91
92 def nouvChampGrav(x0,m):
93 """Cette fonction renvoie une fonction anonyme représentant un champ
94 gravitationnel créé par un objet de masse m immobile aux coordonnées
95 spécifiées par x0.
96 le profil de la fonction résultat est :
97 (vecteur position -> vecteur accélération)
98 """
99 return lambda x: (-6.67e-11*m*(x[0]-x0[0])/((x[0]-x0[0])**2+(x[1]-x0[1])**2+(x[2]-x0[2])**2)**1.5,
100 -6.67e-11*m*(x[1]-x0[1])/((x[0]-x0[0])**2+(x[1]-x0[1])**2+(x[2]-x0[2])**2)**1.5,
101 -6.67e-11*m*(x[2]-x0[2])/((x[0]-x0[0])**2+(x[1]-x0[1])**2+(x[2]-x0[2])**2)**(1.5))
102
103 class trajectoire(QObject):
104 def __init__(self,dt,t,y0, champ):
105 """Les paramètres sont :
106 dt : intervalle de temps
107 t : durée totale de la simulation
108 y0 : vecteur à 6 composantes (position, vitesse initiales)
109 champ : une fonction donnant l'accélération à partir de la position
110 """
111 QObject.__init__(self)
112 self.dt = dt
113 self.t = arange(0,t,self.dt)
114 self.y0 = y0
115 self.champ=champ
116 self.calcul()
117
118 def dessine(self):
119 x=[]
120 y=[]
121 for point in self.pv :
122 x.append(point[0])
123 y.append(point[1])
124 self.x = x
125 self.y = y
126
127 plot(self.x,self.y) # le dessin est en projection dans le plan x,y
128 axis('equal')
129 show()
130
131 def derivs(self,x,t):
132 """calcul de la dérivée du vecteur à 6 composantes position,vitesse
133 """
134 g = self.champ(x[0:3]) # le champ de gravité
135 return (x[3], # vitesse x
136 x[4], # vitesse y
137 x[5], # vitesse z
138 g[0], # acceleration x
139 g[1], # acceleration y
140 g[2]) # acceleration z
141
142 def calcul(self):
143 """lance le calcul de la trajectoire à l'aide de l'algorithme de
144 Runge-Kutta qui est d'ordre 4 et rapide en même temps.
145 le résultat est dans self.pv, qui est une liste contenant
146 les 6-uplets position, vitesse.
147 """
148 self.pv = rk4(self.derivs, self.y0, self.t)
149
150
151 def calculeNorme(nuplet):
152 s=0
153 for x in nuplet:
154 s+=x**2
155 return s**0.5
156
157 def projection(n):
158 if n >=0:
159 return lambda nuplet:nuplet[n]
160 else:
161 return 0.0
162
163 class Trajectoire(Rs):
164 def __init__(self, parent, rayon_astre, mainWin, debugger=Debug(0)):
165 Rs.__init__(self, parent, debugger=debugger)
166 self.parent = parent
167 self.mainWin=mainWin
168 self.milieuX=self.width()/2
169 self.milieuY=self.height()/2
170 self.rep= mainWin.rep
171 #self.setFrameShape(QFrame.Box)
172 self.setEchelle(6.4e6/25)
173 self.points={}
174 self.planetes={}
175 self.vitesse=[]
176 self.date=[]
177 self.dt=1
178 self.widget_vit_norm=None
179 self.widget_vitx=None
180 self.widget_vity=None
181 self.boum=-1.0
182 self.traj=None
183
184
185 def setEchelle(self,val, mode="mppx"):
186 """ Régle l'échelle, selon le mode choisi.
187 mode=mppx : échelle en mètre par pixel
188 mode=max : l'échelle sera ajustée pour que le point (0,val) soit dans
189 la fenêtre de trajectoire (à 95% du maximum)
190 """
191 if mode=="mppx":
192 self.echelle=val
193 self.debug(9,"Échelle %s px/m (mode direct)" %self.echelle)
194 elif mode=="max":
195 self.echelle=val/self.milieuY/0.95
196 self.debug(9,"%s m pour %s px" %(val,self.milieuY))
197 self.debug(9,"Échelle %s px/m (mode max)" %self.echelle)
198 else:
199 self.debug(0,"Le mode %s ne convient pas pour setEchelle()" %mode)
200
201 def lance(self):
202 self.calcul_parametre()
203 if self.mainWin.ui.checkBox_efface.isChecked() :
204 self.efface()
205 self.debug(10,"efface la trajectoire depuis un lancé")
206 a=time.time()
207
208 self.traj= trajectoire(self.dt, self.t, self.pos+self.vit, self.gAstre)
209 self.debug(8, "%s, %s, %s, %s" %(self.dt, self.t, self.pos+self.vit, self.gAstre))
210 self.debug(5,"calcul en %s secondes" %(time.time()-a))
211 self.dessine_trajectoire()
212 #dessine les vitesses
213 self.grapheV()
214
215 def grapheV(self):
216 if self.widget_vit_norm != None:
217 self.widget_vit_norm.hide()
218 if self.widget_vitx != None:
219 self.widget_vitx.hide()
220 if self.widget_vity != None:
221 self.widget_vity.hide()
222 self.widget_vit_norme = MyMplCanvas(self.mainWin.ui.label_vit_norm,self.vitesse, calculeNorme, self.date, width=3, height=5, dpi=30, cliquable=True, titre="Norme de la vitesse")
223 self.widget_vitx = MyMplCanvas(self.mainWin.ui.label_vitx,self.vitesse, projection(0), self.date, width=3, height=5, dpi=30, cliquable=True, titre="Abscisse de la vitesse")
224 self.widget_vity = MyMplCanvas(self.mainWin.ui.label_vity,self.vitesse, projection(1), self.date, width=3, height=5, dpi=30, cliquable=True, titre="Ordonnée de la vitesse")
225 self.widget_vit_norme.show()
226 self.widget_vitx.show()
227 self.widget_vity.show()
228
229
230 def calcul_parametre(self):
231 self.masse_astre = self.mainWin.getMasseAstre()
232 self.distance_astre = self.mainWin.getDistanceAstre()
233 self.vitesse_x,self.vitesse_y = self.mainWin.getVitesse()
234
235 self.G=6.67259e-11
236 #calcul des énergies massiques (cinétique, potentielle, mécanique)
237 Ec_massique=0.5*(self.vitesse_x**2+self.vitesse_y**2)
238 Ep_massique=-self.masse_astre*self.G/self.distance_astre
239 Em_massique=Ec_massique+Ep_massique
240 if Em_massique >= 0:
241 self.debug(1,"L'énergie mécanique est excessive (%s J/kg), la trajectoire ne se fermera pas" %Em_massique)
242 t=QApplication.translate("MainWindow", "Ce n'est pas un satellite", None, QApplication.UnicodeUTF8)
243 q=QApplication.translate("MainWindow", "L'énergie mécanique initiale est positive, l'objet lancé échappera à l'attraction de l'astre. Voulez-vous tracer une partie de la trajectoire ?", None, QApplication.UnicodeUTF8)
244 ret=QMessageBox.question (self, t, q, 1, 2)
245 if ret==1:
246 self.t=30*(self.distance_astre**3/self.masse_astre/self.G)**0.5
247 self.dt=self.t/100
248 else:
249 raise(ValueError)
250 else:
251 # calcul du grand axe a : Em = -k/2a pour une trajectoire elliptique
252 # donc a = -k/2Em
253 a = - self.masse_astre*self.G/2/Em_massique
254
255 # calcul de la période, en utilisant la troisième loi de Kepler
256 # T²=4pi²/MG*a³
257 self.t = 2*pi*(a**3/self.masse_astre/self.G)**0.5
258 self.dt = self.t/1000
259 self.debug(5,"masse astre %s" %self.masse_astre)
260 self.gAstre = nouvChampGrav((0,0,0),self.masse_astre)
261 self.pos = (0.0, self.distance_astre, 0)
262 self.vit = (self.vitesse_x,self.vitesse_y,0.0)
263
264
265 def dessine_trajectoire(self):
266
267 self.debug(9,"dessine la trajectoire")
268 self.dessine(self.traj.pv)
269 # on teste si toute la trajectoire tien bien là.
270 r=self.maxDistance(self.traj.pv)
271 if not self.surementVisible(r) and not self.boum > 0:
272 t=QApplication.translate("MainWindow", "Changement d'échelle", None, QApplication.UnicodeUTF8)
273 q=QApplication.translate("MainWindow", "Un dépassement a été détecté. Voulez-vous changer d'échelle ?", None, QApplication.UnicodeUTF8)
274 ret=QMessageBox.question (self, t, q, 1, 2)
275 if ret==1:
276 self.setEchelle(r,"max")
277 self.efface()
278 self.dessine(self.traj.pv)
279
280 def maxDistance(self,points_vitesses):
281 """renvoie la distance max entre le centre et le satellite en
282 projection sur le plan xy.
283 """
284 r=0
285 for pv in points_vitesses:
286 if fabs(pv[0])>r: r=fabs(pv[0])
287 if fabs(pv[1])>r: r=fabs(pv[1])
288 return r
289
290
291 def surementVisible(self,r):
292 """vrai si un cercle de rayon r est visible à coup sûr"""
293 return r/self.echelle < self.milieuY
294
295 def efface(self):
296 for k in self.points.keys():
297 objet=self.points[k]
298 objet.hide()
299 objet.clear()
300 self.points = {}
301 self.vitesse = []
302
303 def trace_point(self, x, y, couleur, type="petit", tau=None):
304 if tau:
305 cle=(x,y,tau)
306 else:
307 cle=(x,y)
308 if cle in self.points.keys():
309 # efface des points préexistants de même emplacement
310 objet=self.points[cle]
311 objet.hide()
312 objet.clear()
313 self.points[cle]=Point(self, (x,y), couleur, "", self.mainWin,type_de_point=type)
314 self.points[cle].show()
315
316
317 def dessine(self,points_vitesses):
318 self.boum=-1.0
319 OKtau=False
320 intervalle=self.mainWin.ui.intervale.text()
321 self.tau = int(flottant.traduit(intervalle))
322 if self.tau > 60: OKtau=True
323
324 self.vitesse = []
325 self.date=[]
326 tau_entier = 0
327 for i in range(0,len(points_vitesses),10):
328 # on ne trace qu'un point sur 10, soit 100 points
329 # sur les 1000 calculés
330 pv=points_vitesses[i]
331 pix_x=int(pv[0]/self.echelle+self.milieuX)
332 pix_y=int(-pv[1]/self.echelle+self.milieuY)
333
334 # pv est un hexuplet : 3 coordonnées de position, 3 de vitesse
335 self.vitesse.append((pv[3],pv[4]))
336 self.date.append(self.dt*i)
337 if ((pix_x-self.milieuX)**2+(pix_y-self.milieuY)**2)**(0.5) < int(self.mainWin.getRayonAstre()/self.echelle) :
338 self.trace_point(pix_x, pix_y, "red", type="boum")
339 self.boum=self.dt*i
340 break
341 else:
342 self.trace_point(pix_x, pix_y, "red")
343
344 if OKtau:
345 try :
346 #dessine un point tous les "tau" secondes si défini.
347 tau = i*self.dt/self.tau
348
349 if int(tau) > int(tau_entier) :
350 self.trace_point(pix_x, pix_y, "blue", type="gros", tau=tau)
351 tau_entier=int(tau)
352 except AttributeError:
353 pass
354 self.repaint()
355 self.update()
356
357 def paintEvent(self, event):
358 painter = QPainter()
359 painter.begin(self)
360 painter.setBrush(Qt.CrossPattern)
361 painter.setPen(Qt.green)
362
363 rayon=int(self.mainWin.getRayonAstre()/self.echelle)
364 painter.drawLine(self.milieuX, 0, self.milieuX, self.milieuY*2)
365 painter.drawLine(0,self.milieuY , 2*self.milieuX, self.milieuY)
366 img=self.astreImg
367 sourcerect=QRect(0,0,512,512)
368 self.milieuX=self.size().width()/2
369 self.milieuY=self.size().height()/2
370 targetrect=QRect(self.milieuX-rayon,self.milieuY-rayon,2*rayon,2*rayon)
371 #TODO : il faudrait redessiner le rectangle en fonction de l'échelle
372 #TODO : la taille n'est pas bien calculée quand on redimensionne !!!
373 painter.drawEllipse(targetrect)
374 painter.drawImage(targetrect,img,sourcerect)
375 painter.end()
376
377 def dir(self,choix):
378 return self.rep.chemin(choix)
379
380 def debug(self,level,msg):
381 self.mainWin.debug(level,msg)
382
383 def getPlanete(self,nom):
384 if nom not in self.planetes.keys():
385 handle, imageFile = tempfile.mkstemp(".png")
386 os.close(handle)
387 cmd="xplanet -latitude 90 -num_times 1 -glare 10 -body %s -radius 50 -searchdir %s -transpng %s -rotate -70" %(nom,self.dir("textures"),imageFile)
388 # la rotation de -70° permet au méridiens français de se trouver
389 # au centre de l'image. Cette valeur est empirique et dépend
390 # probablement de l'implémentation de Xplanet. Il n'est pas
391 # évident de jouer avec l'option -north qui seule permet de
392 # contrôler totalement l'orientation de l'image.
393 self.debug(8,"Création de l'image de planète par \"%s\"" %cmd)
394 os.system(cmd)
395 self.planetes[nom]=QImage(imageFile)
396 os.system("rm -f %s" %imageFile)
397 return self.planetes[nom]
398
399 def choisi_astre(self,nom):
400 self.astreImg= self.getPlanete(nom)
401
402
403 class Satellite(QLabel):
404 def __init__(self, parent, coord_sat, image):
405 QLabel.__init__(self, parent)
406 self.parent = parent
407 self.coord_sat=coord_sat
408 self.image = image
409 def paintEvent(self, event):
410 painter = QPainter()
411 painter.setBrush(Qt.CrossPattern)
412 painter.setPen(Qt.green)
413 painter.begin(self)
414 x, y = self.coord_sat.x(), self.coord_sat.y()
415 self.debug(5,"%s,%s" %(x,y))
416 painter.drawEllipse(x,y,30,16)
417 painter.drawPixmap(self.coord_sat, self.image)
418 painter.end()
419
0 # -*- coding: utf-8 -*-
1
2 """
3 video.py est un module permettant de faire un fichier video à partir d'un
4 tableau de positions-vitesses tel que pysatellite peut le réaliser.
5 """
6
7 import math, datetime, tempfile, os.path, os
8 from astres import Astre
9 from PyQt4.QtGui import *
10 from threading import *
11 from debug import Debug
12 import flottant as flottant
13
14 class Cinema(Thread):
15 def __init__(self,repertoire, astre, dateorigine, liste_temps, liste_pos, geometrie, pas=1, nettoie=True, boum=-1.0, debugger=Debug(0)):
16 Thread.__init__(self)
17 self.repertoire=repertoire
18 self.astre=astre
19 self.dateorigine=dateorigine
20 self.liste_temps=liste_temps
21 self.liste_pos=liste_pos
22 self.geometrie=geometrie
23 self.pas=pas
24 self.nettoie=nettoie
25 self.boum=boum
26 self.dir=tempfile.mkdtemp("","pysat")
27 self.fini=False
28 self.nbImage=0
29 self.debug=debugger
30
31 def run(self):
32 self.video()
33 os.system("vlc --loop %s > /dev/null 2>&1" %os.path.join(self.dir,"out.avi"))
34 if self.nettoie: os.system("rm -r %s" %self.dir)
35
36 def video(self):
37 self.images()
38 cmd="ffmpeg -r 25 -f image2 -i %s -f avi -vcodec mpeg1video -b 800k %s > /dev/null 2>&1" %(os.path.join(self.dir, "%04d.jpg"), os.path.join(self.dir, "out.avi"))
39 os.system(cmd)
40
41 def images(self):
42 listenum= range(0, len(self.liste_temps), self.pas)
43 for i in listenum:
44 if self.fini:
45 return
46 temps=self.liste_temps[i]
47 if self.boum > 0 and temps > self.boum:
48 self.imageCrash(self.nbImage)
49 self.fini=True
50 return
51 x=self.liste_pos[i][0]
52 y=self.liste_pos[i][1]
53 z=self.liste_pos[i][2]
54 cmd=self.xplanetCmd(temps, x, y, z,
55 os.path.join(self.dir, "%04d.jpg" %self.nbImage))
56 os.system(cmd)
57 self.nbImage+=1
58
59 def imageCrash(self,num):
60 for n in range(20):
61 nomfichier=os.path.join(self.dir, "%04d.jpg" %(num+n))
62 (w,h)=self.geometrie.split("x")
63 img=QImage(int(w), int(h), QImage.Format_RGB32)
64 img.fill(QColor("red").rgb())
65 img.save(nomfichier)
66
67 def xplanetCmd(self,temps, x, y, z, nomfichier):
68 """
69 dateorigine est un objet datetime fixe,
70 temps est une durée en seconde
71 """
72 a=Astre(self.astre)
73 td=datetime.timedelta(seconds=temps)
74 date=self.dateorigine+td
75 dateXplanet=date.strftime("%Y%m%d.%H%M%S")
76
77 rayon=1.0*(x**2+y**2+z**2)**0.5
78 range=rayon/a.rayon
79 if range > 1.0:
80 radius=100*math.asin(1.0/range)
81 else:
82 radius=9000
83 longitude0=360.0*temps/(24*3600*flottant.traduit(a.rotationSiderale))
84 longitude=180/math.pi*math.atan2(y,x)-90
85 latitude=180/math.pi*math.atan2(z,(x**2+y**2)**0.5)
86 cmd="xplanet -date %s -radius %s -num_times 1 -output '%s' -geometry %s -origin %s -range %s -longitude %s -latitude %s -starmap BSC -searchdir %s -body %s -label >/dev/null 2>&1" %(dateXplanet, radius, nomfichier, self.geometrie, self.astre, range, int(a.flip)*(longitude-longitude0), latitude, self.repertoire.chemin("textures"), self.astre)
87 self.debug(4,u"Lancemende de «%s»" %cmd)
88 return cmd
89