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simulator.py
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simulator.py
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from planet import Planet
from vector import Vector
import json
from turtle import Turtle, Screen
import random
import datetime
import matplotlib.pyplot as plt
fakeG = 10
realG = 6.673 * 10**(-11)
G = fakeG
energyLog = []
massOfEarth = 5.972 * 10**24
massOfSun = 1.989 * 10**30
massOfMoon = 7.35 * 10**22
distEarthMoon = 3.844 * 10**8
distSunEarth = 1.50 * 10**11
speedEarth_Sun = 3 * 10**4
speedMoon_Earth = 1.022 * 10**3
bodies1 = [
Planet(name='Earth1', mass=1, position=[-100, 0, 0], velocity=[0, 0, 0]),
Planet(name='Earth2', mass=60, position=[0, 0, 0], velocity=[0, 2, 0]),
Planet(name='Earth3', mass=1, position=[100, -30, 0], velocity=[0, 0, 0])
]
bodies2 = [
Planet(name='Earth1', mass=1,
position=[0, 250, 0], velocity=[-6, -3, 0]),
Planet(name='Earth2', mass=1000, position=[
0, 0, 0], velocity=[0, 0, 0]),
# Planet(name='Earth3', mass=1, position=[86.6, -50, 0], velocity=[0, 0, 0])
]
bodies2_1 = [
Planet(name='Earth1', mass=1,
position=[0, 250, 0], velocity=[-6.5, 0, 0]),
Planet(name='Earth2', mass=1000, position=[
0, 0, 0], velocity=[0, 0, 0]),
]
bodies2_2 = [
Planet(name='Earth1', mass=1,
position=[0, 250, 0], velocity=[0, 0, 0]),
Planet(name='Earth2', mass=1000, position=[
0, 0, 0], velocity=[0, 0, 0]),
]
bodies3 = [
Planet(name='Earth1', mass=10,
position=[-100, 100, 0], velocity=[1, 0, 0]),
Planet(name='Earth2', mass=10, position=[
100, 100, 0], velocity=[0, -1, 0]),
Planet(name='Earth3', mass=10, position=[
100, -100, 0], velocity=[-1, 0, 0]),
Planet(name='Earth4', mass=10,
position=[-100, -100, 0], velocity=[0, 1, 0])
]
bodies4 = [
Planet(name='Earth1', mass=10,
position=[-60, 100, 50], velocity=[1, 0, 0]),
Planet(name='Earth2', mass=10, position=[
100, 30, 0], velocity=[0, -1, 0]),
Planet(name='Earth3', mass=10, position=[
20, -100, -50], velocity=[-1, 0, 0]),
Planet(name='Earth4', mass=10,
position=[-100, -100, 100], velocity=[0, 1, 0])
]
bodies5 = [
Planet(name='Earth1', mass=30,
position=[0, 250, 0], velocity=[-6, -3, 0]),
Planet(name='Earth2', mass=400, position=[
0, 0, 0], velocity=[0, 0, 0]),
Planet(name='Earth3', mass=50, position=[86.6, -50, 0], velocity=[-5, -7, 0])
]
sunEarthMoon = [
Planet(name='Sun', mass=massOfSun,
position=[0, 0, 0], velocity=[0, 0, 0]),
Planet(name='Earth', mass=massOfEarth, position=[
distSunEarth, 0, 0], velocity=[0, speedEarth_Sun, 0]),
Planet(name='Moon', mass=massOfMoon, position=[
distSunEarth+distEarthMoon, 0, 0], velocity=[0, speedEarth_Sun+speedMoon_Earth, 0]),
]
def findAcceleration(of, wrt, time): # wrt = with respect to
m = wrt.getMass()
rVec = wrt.getPosition(time) - of.getPosition(time)
rMag = rVec.norm()
acc = (G*m*rVec)/(rMag**3)
return acc
def calculateEnergy(bodies, time):
kenetic = 0
potential = 0
for i in range(len(bodies)):
# acc = Vector([0, 0, 0])
for j in range(len(bodies)):
if i != j:
acc = findAcceleration(of=bodies[i],
wrt=bodies[j], time=time)
potential -= bodies[i].getMass() * acc.norm() * (bodies[i].getPosition() - bodies[j].getPosition()).norm()
kenetic += 0.5 * bodies[i].getMass() * bodies[i].getVelocity().norm()**2
energyLog.append(kenetic+potential)
return [kenetic, potential, kenetic+potential]
def simulateMotion(bodies, timeStep, timeRange, notifyProgEveryXSec=None):
untilNotif = 0
for time in range(round(timeRange/timeStep)):
for i in range(len(bodies)):
acc = Vector([0, 0, 0])
for j in range(len(bodies)):
if i != j:
acc += findAcceleration(of=bodies[i],
wrt=bodies[j], time=time)
pos = bodies[i].getPosition()
vel = bodies[i].getVelocity()
newPos = pos + vel * timeStep
newVel = vel + acc * timeStep
bodies[i].setPosition(newPos)
bodies[i].setVelocity(newVel)
if notifyProgEveryXSec:
if untilNotif >= notifyProgEveryXSec or time == 0:
# print(time*timeStep/timeRange, 'percent complete')
untilNotif = 0
print(calculateEnergy(bodies,-2))
untilNotif += timeStep
def simulateSemiImplicitMotion(bodies, timeStep, timeRange, notifyProgEveryXSec=None):
untilNotif = 0
for time in range(round(timeRange/timeStep)):
for i in range(len(bodies)):
acc = Vector([0, 0, 0])
for j in range(len(bodies)):
if i != j:
acc += findAcceleration(of=bodies[i],
wrt=bodies[j], time=time)
pos = bodies[i].getPosition()
vel = bodies[i].getVelocity()
newVel = vel + acc * timeStep
newPos = pos + newVel * timeStep
bodies[i].setPosition(newPos)
bodies[i].setVelocity(newVel)
if notifyProgEveryXSec:
if untilNotif >= notifyProgEveryXSec or time == 0:
# print(time*timeStep/timeRange, 'percent complete')
untilNotif = 0
print(calculateEnergy(bodies,-2))
untilNotif += timeStep
def simulateImprovedMotion(bodies, timeStep, timeRange, notifyProgEveryXSec=None):
untilNotif = 0
for time in range(round(timeRange/timeStep)):
for i in range(len(bodies)):
acc = Vector([0, 0, 0])
for j in range(len(bodies)):
if i != j:
acc += findAcceleration(of=bodies[i],
wrt=bodies[j], time=time)
pos = bodies[i].getPosition()
vel = bodies[i].getVelocity()
newPos = pos + vel * timeStep/2
newVel = vel + acc * timeStep/2
bodies[i].setPosition(newPos)
bodies[i].setVelocity(newVel)
for i in range(len(bodies)):
acc = Vector([0, 0, 0])
for j in range(len(bodies)):
if i != j:
acc += findAcceleration(of=bodies[i],
wrt=bodies[j], time=time)
vel = bodies[i].getVelocity()
bodies[i].pop()
newPos = bodies[i].getPosition() + vel * timeStep
newVel = bodies[i].getVelocity() + acc * timeStep
bodies[i].setPosition(newPos)
bodies[i].setVelocity(newVel)
if notifyProgEveryXSec:
if untilNotif >= notifyProgEveryXSec or time == 0:
# print(time*timeStep/timeRange, 'percent complete')
untilNotif = 0
print(calculateEnergy(bodies,-1))
untilNotif += timeStep
def drawPaths(bodies, skip):
bounds = getBounds(bodies)
win = Screen()
win.setworldcoordinates(bounds[0]-0.05*(bounds[3]-bounds[0]), bounds[1]-0.05*(bounds[4]-bounds[1]), bounds[3]+0.05*(bounds[3]-bounds[0]), bounds[4]+0.05*(bounds[4]-bounds[1]))
turtles = [Turtle() for body in bodies]
numTimeSteps = len(bodies[0].getHistory()['position'])
colors = ["red", "green", "blue", "black", "purple", "pink"]
for (index, turtle) in enumerate(turtles):
color = colors[index]
turtle.fillcolor(color)
turtle.speed(0)
turtle.pencolor(color)
for time in range(0, numTimeSteps, skip):
for (index, body) in enumerate(bodies):
# print(body)
if time == 0:
turtles[index].up()
# turtles[index].pensize(
# body.getHistory()['velocity'][time].norm()/8)
turtles[index].goto(
body.getHistory()['position'][time].toList()[0:2])
if time == 0:
turtles[index].down()
win.exitonclick()
def downSampleList(listIn, every):
out = []
for i in range(0,len(listIn),every):
out.append(listIn[i])
return out
def plot3dpath(bodies, skip=1):
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
xpositions = []
ypositions = []
zpositions = []
step = 5
for i in bodies:
xpositions.append([])
ypositions.append([])
zpositions.append([])
history = i.getHistory()['position']
for j in range(0, len(history), step):
xpositions[-1].append(history[j].get(0))
ypositions[-1].append(history[j].get(1))
zpositions[-1].append(history[j].get(2))
colors = ["red", "green", "blue", "pink"]
ax.set_xlabel('X Label')
ax.set_ylabel('Y Label')
ax.set_zlabel('Z Label')
downSampleList
for i in range(len(bodies)):
ax.plot3D(downSampleList(xpositions[i],skip), downSampleList(ypositions[i],skip),
downSampleList(zpositions[i],skip), c=colors[i])
plt.show()
def savePaths(bodies, filename=None):
if not filename:
filename = str(datetime.datetime.utcnow())+".json"
output = []
for body in bodies:
output.append(body.getJsonSerialized())
with open(filename, "w") as outfile:
json.dump(output, outfile)
def loadPaths(filename):
with open(filename, "r") as infile:
data = json.load(infile)
# print(data)
bodies = []
for i in data:
body = Planet()
body.loadSerialized(i)
bodies.append(body)
return bodies
def getBounds(bodies):
minim = [0,0,0]
maxim = [0,0,0]
for body in bodies:
for pos in body.getHistory()['position']:
for index, i in enumerate(pos.toList()):
if i > maxim[index]:
maxim[index] = i
elif i < minim[index]:
minim[index] = i
x_range = maxim[0]-minim[0]
y_range = maxim[1]-minim[1]
print(x_range,y_range)
if y_range > x_range:
maxim[0] = minim[0] + y_range
else:
maxim[1] = minim[1] + x_range
minim.extend(maxim)
return minim
if __name__ == "__main__":
# bodies = loadPaths("bodies1|t=0.1|l=3000.json")
bodies = bodies2_1
# simulateMotion(bodies, 1, 3000, 1)
simulateSemiImplicitMotion(bodies, 100, 70000, 5)
# simulateImprovedMotion(bodies, 0.1, 1000, 5)
# savePaths(bodies, "bodies1|t=0.1|l=3000.json")
drawPaths(bodies, 500)
# print("len", len(energyLog))
# plt.plot(list(range(len(energyLog))),energyLog)
# plt.show()
# plot3dpath(bodies, 12)