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August 29, 2015 12:50
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Solar system simulation in Python. Full article and video at http://www.firsttimeprogrammer.blogspot.com/2014/12/and-here-comes-whole-solar-system.html
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import math | |
from bigfloat import * | |
import matplotlib.pyplot as plt | |
from visual import * | |
# A class to handle the time ranges | |
class timeHoursSeconds(object): | |
def __init__(self,s,h,d,y): | |
self.s = s | |
self.h = h | |
self.d = d | |
self.y = y | |
def fromStoHours(self): | |
h = self.s/60/60 | |
return h | |
def fromStoDays(self): | |
d = self.s/60/60/24 | |
return d | |
def fromStoYears(self): | |
y = self.s/60/60/24/365 | |
return y | |
def fromDaysToS(self): | |
s = self.d*24*60*60 | |
return s | |
def fromDaysToH(self): | |
h = self.d * 24 | |
return h | |
def fromDaysToY(self): | |
y = self.d/365 | |
return y | |
class planet(object): | |
G = 6.67 * math.pow(10,-11) | |
sunM = 1.989 * math.pow(10,30) | |
eaM = 5.973 * math.pow(10,24) | |
RTL = 384400000 | |
def __init__(self,name,mass,RS,theta0,radius): | |
self.name = name | |
self.mass = mass | |
self.RS = RS | |
self.theta0 = theta0 | |
self.radius = radius | |
def gravitationalForce(self,m2=1): | |
if m2 ==1: | |
f = self.G * (self.mass*self.sunM)/math.pow(self.RS,2) | |
else: | |
f = self.G * (self.mass*self.eaM)/math.pow(self.RTL,2) | |
return f | |
def angularVelocity(self,m2=1): | |
w = math.sqrt(self.gravitationalForce(m2=m2)/(self.mass*self.RS)) | |
return w | |
def velocity(self,m2=1): | |
v = self.angularVelocity(m2=1) * self.RS | |
return v | |
def angularPosition(self,t,m2=1): | |
theta = self.theta0 + self.angularVelocity(m2=m2) * t | |
return theta | |
def varAngularPosition(self,t,dt,m2=1): | |
dtheta = self.angularPosition(t+dt,m2=m2)-self.angularPosition(t,m2=m2) | |
return dtheta | |
def periodAroundSun(self,m2=1): | |
p = timeHoursSeconds(2*math.pi/self.angularVelocity(m2=m2),0,0,0) | |
return p | |
def picture(self,x,y,z,col,trail): | |
if col == 1: | |
return sphere(pos=vector(x,y,z),color=color.red,radius=self.radius,make_trail=trail) | |
elif col == 2: | |
return sphere(pos=vector(x,y,z),color=color.blue,radius=self.radius,make_trail=trail) | |
elif col == 3: | |
return sphere(pos=vector(x,y,z),color=color.green,radius=self.radius,make_trail=trail) | |
elif col == 4: | |
return sphere(pos=vector(x,y,z),color=color.cyan,radius=self.radius,make_trail=trail) | |
elif col == 5: | |
return sphere(pos=vector(x,y,z),color=color.yellow,radius=self.radius,make_trail=trail) | |
else: | |
return sphere(pos=vector(x,y,z),color=color.white,radius=self.radius,make_trail=trail) | |
mercury = planet("Mercury",3.302 * math.pow(10,23),57910000000,0,0.3) | |
venus = planet("Venus",4.8685 * math.pow(10,24),108200000000,0,0.4) | |
earth = planet("Earth",5.973 * math.pow(10,24),149600000000,0,0.5) | |
# As for the Moon, input Earth-Moon distance | |
moon = planet("Moon",7.347 * math.pow(10,22),384400000,0,0.2) | |
mars = planet("Mars",6.4185 * math.pow(10,23),227900000000,0,0.45) | |
jupiter = planet("Jupiter",1.8986 * math.pow(10,27),778500000000,0,.8) | |
saturn = planet("Saturn",5.6846 * math.pow(10,26),1433000000000,0,0.7) | |
uranus = planet("Uranus",8.6832 * math.pow(10,25),2877000000000,0,0.6) | |
neptune = planet("Neptune",1.0243 * math.pow(10,26),4503000000000,0,0.6) | |
# Simulation data | |
years = timeHoursSeconds(0,0,3655,0) | |
seconds = years.fromDaysToS() | |
print("Years: ",years.y) | |
print("Days: ",years.d) | |
print("Seconds: ",seconds) | |
t = 0 | |
dt = timeHoursSeconds(10000,0,0,0) | |
# Planets | |
merc = mercury.picture(1.5,0,0,1,True) | |
ven = venus.picture(3,0,0,3,True) | |
ea = earth.picture(5,0,0,2,True) | |
mar = mars.picture(7,0,0,3,True) | |
jup = jupiter.picture(9,0,0,5,True) | |
sat = saturn.picture(11,0,0,6,True) | |
ur = uranus.picture(13,0,0,3,True) | |
nep = neptune.picture(15,0,0,2,True) | |
planetsf = [merc,ven,ea,mar,jup,sat,ur,nep] | |
planets = [mercury,venus,earth,mars,jupiter,saturn,uranus,neptune] | |
# The Moon | |
v = vector(0.9,0,0) | |
mo = moon.picture(5+0.9,0,0,10,True) | |
for k in planets: | |
revp = k.periodAroundSun() | |
print("Planet name: ",k.name) | |
print(k.name," mass: ",k.mass," kg") | |
print(k.name," distance from the sun: ",k.RS/1000," Km") | |
print(k.name," angular velocity: ",k.angularVelocity()," rad/s") | |
print(k.name," period around the sun: ",revp.fromStoYears()," terrestrial year/s") | |
print("\n") | |
# Our program | |
while t < seconds: | |
rate(50) | |
for plan in range(len(planets)): | |
planetsf[plan].pos = rotate(planetsf[plan].pos,angle=planets[plan].varAngularPosition(t,dt.s),axis=(0,0,1)) | |
v = rotate(v,angle=moon.varAngularPosition(t,dt.s,m2=2),axis=(0,0,1)) | |
mo.pos = ea.pos + v | |
t += dt.s | |
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