œ_#ÁÕ§TE NAŒ“KeÉ:”(åŽÖJÞùY’‚ñùž7; «]Û ý`8g“¯B© jdÖÖ¸ðzœ¸¦4Ç3Kó^(ÍÖ¼ Õ€pvìwšõB4df$Èü^0˜…åÌC$#2FŽÑ§±¦ÛZ/÷š&m£ñzÒÖ ’.Î]!Î;ƒ(Õ–¢d/—#Kª+tZyuÏB>NÛÖ†(¸ŒSà'³„Y˜´-_•¦¼´˜OlNK§¶ÒàŠˆTHµƒeTPå·fïM’…þuÏÍüp6دªE£åü‡ZØ'CKF#â«;‹eyO Qp„†l"ö1èíÙP ÏŒúl! BÝ2ñª•_VÁÉ÷3eu`–F¸ìI--ö<¿žë¯4õ캿¢)34Å{wMÉ2ÆÖFŸ¥`e9Ú¶¸P‡.”FÔï rY ‚²ÈTB,{ÛœéJ}«àQ4¹0Rû4D‚B§S‘ dO•v¾„™Sן¯3FeŸ™«+ÓâwH dÕÛÌì·P4ë&¥#rÜÉ Ù¦ê†ý·xòqk¯2,¹§™E\ék‚×Sá”ÚºÙ⺷ö£6…à ʾ qSá³Å|;àû}4Ÿ($â¹VY~óÍ!èÜÒŒËX½Ù1j‚VíÍŸš³+œ]«½g{_{/vµ½\¢¶vÉWKÿ:ñám½ ¥ S²x‘t ŽšÝÙÿÀÇ^ný PK IW™k‚½÷ á _rels/.relsUT dìd dìd dìd’ÏNÃ0‡ï{ŠÈ÷ÕÝ@¡¥» ¤Ý*`%îÑ&QâÁöö‚J£ì°cœŸ¿|¶²ÙÆA½rL½wVE Šñ¶w†çúay * 9Kƒw¬áÈ ¶ÕbóÄIîI]’Ê—4t"á1™ŽGJ…ìòMããH’±Å@æ…ZÆuYÞ`üÍ€jÂT;«!îì T}|Û7MoøÞ›ýÈNN<|v–í2ÄÜ¥ÏèšbË¢Ázó˜Ë )„"£OÏ7ú{ZYÈ’yÞç#1'tuÉM?6o>Z´_å9›ëKÚ˜}?þ³žÏÌ·N>fµx PK IWª½e ¢ U € word/document.xmlUT dìdPK IWþË3” z €J¢ word/settings.xmlUT dìdPK IWC‡{š' ƒ €¤ docProps/custom.xmlUT dìdPK IW츱=Œ €‡¥ [Content_Types].xmlUT dìdPK IWV%ë±" €U§ docProps/app.xmlUT dìdPK IW€RŒ 3 €¶¨ docProps/core.xmlUT dìdPK IWkòDn ô €ª word/_rels/document.xml.relsUT dìdPK IW;$î €Î« word/fontTable.xmlUT dìdPK IW+åäz] ÷. €ý¬ word/numbering.xmlUT dìdPK IW¤2×r- ¿ €›° word/styles.xmlUT dìdPK IWMFÒ ø €´ word/header1.xmlUT dìdPK IWF— T e €· word/media/image1.jpegUT dìdPK IW!Yéáå €°Ë word/media/image2.pngUT dìdPK IW°Àºë ú €ÙÌ word/media/image3.pngUT dìdPK IW$“†ª L €Î word/footer1.xmlUT dìdPK IWzaGôM €ñÑ word/footer2.xmlUT dìdPK IW–µâº P €}Õ word/theme/theme1.xmlUT dìdPK IW™k‚½÷ á €{Û _rels/.relsUT PK ! bîh^ [Content_Types].xml ¢( ¬”ËNÃ0E÷HüCä-Jܲ@5í‚Ç*Q>Àēƪc[žiiÿž‰ûB¡j7±ÏÜ{2ñÍh²nm¶‚ˆÆ»R‹ÈÀU^7/ÅÇì%¿’rZYï @1__f› ˜q·ÃR4DáAJ¬h>€ãÚÇV߯¹ªZ¨9ÈÛÁàNVÞ8Ê©ÓãÑÔji){^óã-I‹"{Üv^¥P!XS)bR¹rú—K¾s(¸3Õ`cÞ0†½ÝÎß»¾7M4²©ŠôªZÆk+¿|\|z¿(Ž‹ôPúº6h_-[ž@!‚ÒØ Pk‹´2nÏ}Ä?£LËð Ýû%áÄßdºždN"m,à¥ÇžDO97*‚~§Èɸ8ÀOíc|n¦Ñ äEøÿöéºóÀBÉÀ!$}‡íàÈé;{ìÐå[ƒîñ–é2þ ÿÿ PK ! µU0#ô L _rels/.rels ¢( ¬’MOÃ0†ïHü‡È÷ÕÝBKwAH»!T~€Iܵ£$Ý¿'TƒG½~üÊÛÝ<êÈ!öâ4¬‹;#¶w†—úqu *&r–Fq¬áÄvÕõÕö™GJy(v½*«¸¨¡KÉß#FÓñD±Ï.W ¥†=™ZÆMYÞbø®ÕBS톰·7 ê“Ï›×–¦é ?ˆ9LìÒ™ÈsbgÙ®|Èl!õùUSh9i°bžr:"y_dlÀóD›¿ý|-NœÈR"4ø2ÏGÇ% õZ´4ñËyÄ7 ëÈðÉ‚‹¨Þ ÿÿ PK ! Q48wÛ — xl/workbook.xml¤UÙnâ0}iþ!cñ‡ *–¢AšVU×$dC¬&vÆv UÕŸë@XÊK§/¹p|Žï¹N÷b“¥Ö •Š ÞC¸î"‹òHÄŒ¯zèá~b·‘¥4á1I§=ôJºèÿüÑ] ù¼âÙ ®z(Ñ:GE ͈ª‹œrˆ,…̈†©\9*—”Ä*¡Tg©ã¹nàd„q´Eåg0ÄrÉ":Q‘Q®· ’¦D}•°\UhYô¸ŒÈç"·#‘å ±`)Ó¯%(²²(œ®¸d‘‚ì nZ w v¡ñª• t¶TÆ")”Xê:@;[Ògú±ë`|²›ó=ø’ïHúÂL÷¬dðEVÁ+8€a÷Ûh¬Uz%„Íû"ZsÏÍCýî’¥ôqk]‹äù5ÉL¦Rd¥Dé˘i÷P ¦bM/|dÉ",…¨çãFNoçiûéë>aêiçsó#ðÄ ÕTr¢éHp ÜIú®ÝJìQ"ÀÜÖ-ý[0I¡¦ÀZ Z…d¡nˆN¬B¦=4 g %PDF-1.4 %âãÏÓ 3 0 obj << /Linearized 1 /L 422775 ÿØÿà JFIF ÿÛ C ÿÛ C ÿÀ X" ÿÄ ÿÄ H !1A"Qaq2‘¡#±ÁBRÑ3Cbrá$S‚¢²ð4ñ%6DTc’ÂsÿÄ ÿÄ = !1AQ"aq‘Á2R¡±BÑð#3br’²4á$‚¢ÂñÿÚ ? áHBßÝ`„! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! !@B„ „! ! stream
#! /usr/bin/python2.7
""" turtle-example-suite:
tdemo_planets_and_moon.py
Gravitational system simulation using the
approximation method from Feynman-lectures,
p.9-8, using turtlegraphics.
Example: heavy central body, light planet,
very light moon!
Planet has a circular orbit, moon a stable
orbit around the planet.
You can hold the movement temporarily by
pressing the left mouse button with the
mouse over the scrollbar of the canvas.
"""
from turtle import Shape, Turtle, mainloop, Vec2D as Vec
from time import sleep
G = 8
class GravSys(object):
def __init__(self):
self.planets = []
self.t = 0
self.dt = 0.01
def init(self):
for p in self.planets:
p.init()
def start(self):
for i in range(10000):
self.t += self.dt
for p in self.planets:
p.step()
class Star(Turtle):
def __init__(self, m, x, v, gravSys, shape):
Turtle.__init__(self, shape=shape)
self.penup()
self.m = m
self.setpos(x)
self.v = v
gravSys.planets.append(self)
self.gravSys = gravSys
self.resizemode("user")
self.pendown()
def init(self):
dt = self.gravSys.dt
self.a = self.acc()
self.v = self.v + 0.5*dt*self.a
def acc(self):
a = Vec(0,0)
for planet in self.gravSys.planets:
if planet != self:
v = planet.pos()-self.pos()
a += (G*planet.m/abs(v)**3)*v
return a
def step(self):
dt = self.gravSys.dt
self.setpos(self.pos() + dt*self.v)
if self.gravSys.planets.index(self) != 0:
self.setheading(self.towards(self.gravSys.planets[0]))
self.a = self.acc()
self.v = self.v + dt*self.a
## create compound yellow/blue turtleshape for planets
def main():
s = Turtle()
s.reset()
s.tracer(0,0)
s.ht()
s.pu()
s.fd(6)
s.lt(90)
s.begin_poly()
s.circle(6, 180)
s.end_poly()
m1 = s.get_poly()
s.begin_poly()
s.circle(6,180)
s.end_poly()
m2 = s.get_poly()
planetshape = Shape("compound")
planetshape.addcomponent(m1,"orange")
planetshape.addcomponent(m2,"blue")
s.getscreen().register_shape("planet", planetshape)
s.tracer(1,0)
## setup gravitational system
gs = GravSys()
sun = Star(1000000, Vec(0,0), Vec(0,-2.5), gs, "circle")
sun.color("yellow")
sun.shapesize(1.8)
sun.pu()
earth = Star(12500, Vec(210,0), Vec(0,195), gs, "planet")
earth.pencolor("green")
earth.shapesize(0.8)
moon = Star(1, Vec(220,0), Vec(0,295), gs, "planet")
moon.pencolor("blue")
moon.shapesize(0.5)
gs.init()
gs.start()
return "Done!"
if __name__ == '__main__':
main()
mainloop()