1 | n/a | #!/usr/bin/env python3 |
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2 | n/a | """ turtle-example-suite: |
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3 | n/a | |
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4 | n/a | tdemo_planets_and_moon.py |
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5 | n/a | |
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6 | n/a | Gravitational system simulation using the |
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7 | n/a | approximation method from Feynman-lectures, |
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8 | n/a | p.9-8, using turtlegraphics. |
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9 | n/a | |
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10 | n/a | Example: heavy central body, light planet, |
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11 | n/a | very light moon! |
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12 | n/a | Planet has a circular orbit, moon a stable |
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13 | n/a | orbit around the planet. |
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14 | n/a | |
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15 | n/a | You can hold the movement temporarily by |
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16 | n/a | pressing the left mouse button with the |
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17 | n/a | mouse over the scrollbar of the canvas. |
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18 | n/a | |
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19 | n/a | """ |
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20 | n/a | from turtle import Shape, Turtle, mainloop, Vec2D as Vec |
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21 | n/a | |
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22 | n/a | G = 8 |
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23 | n/a | |
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24 | n/a | class GravSys(object): |
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25 | n/a | def __init__(self): |
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26 | n/a | self.planets = [] |
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27 | n/a | self.t = 0 |
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28 | n/a | self.dt = 0.01 |
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29 | n/a | def init(self): |
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30 | n/a | for p in self.planets: |
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31 | n/a | p.init() |
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32 | n/a | def start(self): |
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33 | n/a | for i in range(10000): |
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34 | n/a | self.t += self.dt |
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35 | n/a | for p in self.planets: |
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36 | n/a | p.step() |
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37 | n/a | |
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38 | n/a | class Star(Turtle): |
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39 | n/a | def __init__(self, m, x, v, gravSys, shape): |
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40 | n/a | Turtle.__init__(self, shape=shape) |
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41 | n/a | self.penup() |
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42 | n/a | self.m = m |
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43 | n/a | self.setpos(x) |
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44 | n/a | self.v = v |
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45 | n/a | gravSys.planets.append(self) |
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46 | n/a | self.gravSys = gravSys |
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47 | n/a | self.resizemode("user") |
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48 | n/a | self.pendown() |
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49 | n/a | def init(self): |
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50 | n/a | dt = self.gravSys.dt |
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51 | n/a | self.a = self.acc() |
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52 | n/a | self.v = self.v + 0.5*dt*self.a |
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53 | n/a | def acc(self): |
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54 | n/a | a = Vec(0,0) |
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55 | n/a | for planet in self.gravSys.planets: |
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56 | n/a | if planet != self: |
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57 | n/a | v = planet.pos()-self.pos() |
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58 | n/a | a += (G*planet.m/abs(v)**3)*v |
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59 | n/a | return a |
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60 | n/a | def step(self): |
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61 | n/a | dt = self.gravSys.dt |
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62 | n/a | self.setpos(self.pos() + dt*self.v) |
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63 | n/a | if self.gravSys.planets.index(self) != 0: |
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64 | n/a | self.setheading(self.towards(self.gravSys.planets[0])) |
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65 | n/a | self.a = self.acc() |
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66 | n/a | self.v = self.v + dt*self.a |
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67 | n/a | |
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68 | n/a | ## create compound yellow/blue turtleshape for planets |
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69 | n/a | |
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70 | n/a | def main(): |
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71 | n/a | s = Turtle() |
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72 | n/a | s.reset() |
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73 | n/a | s.getscreen().tracer(0,0) |
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74 | n/a | s.ht() |
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75 | n/a | s.pu() |
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76 | n/a | s.fd(6) |
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77 | n/a | s.lt(90) |
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78 | n/a | s.begin_poly() |
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79 | n/a | s.circle(6, 180) |
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80 | n/a | s.end_poly() |
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81 | n/a | m1 = s.get_poly() |
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82 | n/a | s.begin_poly() |
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83 | n/a | s.circle(6,180) |
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84 | n/a | s.end_poly() |
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85 | n/a | m2 = s.get_poly() |
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86 | n/a | |
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87 | n/a | planetshape = Shape("compound") |
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88 | n/a | planetshape.addcomponent(m1,"orange") |
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89 | n/a | planetshape.addcomponent(m2,"blue") |
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90 | n/a | s.getscreen().register_shape("planet", planetshape) |
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91 | n/a | s.getscreen().tracer(1,0) |
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92 | n/a | |
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93 | n/a | ## setup gravitational system |
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94 | n/a | gs = GravSys() |
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95 | n/a | sun = Star(1000000, Vec(0,0), Vec(0,-2.5), gs, "circle") |
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96 | n/a | sun.color("yellow") |
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97 | n/a | sun.shapesize(1.8) |
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98 | n/a | sun.pu() |
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99 | n/a | earth = Star(12500, Vec(210,0), Vec(0,195), gs, "planet") |
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100 | n/a | earth.pencolor("green") |
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101 | n/a | earth.shapesize(0.8) |
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102 | n/a | moon = Star(1, Vec(220,0), Vec(0,295), gs, "planet") |
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103 | n/a | moon.pencolor("blue") |
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104 | n/a | moon.shapesize(0.5) |
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105 | n/a | gs.init() |
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106 | n/a | gs.start() |
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107 | n/a | return "Done!" |
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108 | n/a | |
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109 | n/a | if __name__ == '__main__': |
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110 | n/a | main() |
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111 | n/a | mainloop() |
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