HW1-3

原始程式碼
#!/usr/bin/env python3
"""       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.getscreen().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.getscreen().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()

原始動畫

修改過後
#!/usr/bin/env python3
"""       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(1000):
            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)**3.001)*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.getscreen().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,"gray10")
    planetshape.addcomponent(m2,"red")
    s.getscreen().register_shape("planet", planetshape)
    s.getscreen().tracer(1,0)

    ## setup gravitational system
    gs = GravSys()
    sun = Star(1000000, Vec(0,0), Vec(0,-2.5), gs, "triangle")
    sun.color("green")
    sun.shapesize(10.8)
    sun.pu()
    earth = Star(12500, Vec(210,0), Vec(0,195), gs, "planet")
    earth.pencolor("brown")
    earth.shapesize(0.8)
    moon = Star(1, Vec(205,0), Vec(0,310), gs, "planet")
    moon.pencolor("blue")
    moon.shapesize(0.5)
    gs.init()
    gs.start()
    return "Done!"

if __name__ == '__main__':
    main()
    mainloop()
動畫改成
快速移動的彗星
並且移動距離縮小