object = system
Properties
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@@ -28,12 +28,15 @@ class Body:
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def __str__(self): # Called upon "str(body)"
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return r"Body of mass: {0:.2f} $M_\odot$".format(self.m)
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class System:
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class System(Body):
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def __init__(self, bodylist, blackstyle=True):
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self.blackstyle = blackstyle
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self.blackstyle = blackstyle #for dark mode in plot
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self.bodylist = np.array(bodylist)
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self.time = 0
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self.time = 0 #lifetime of system
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self.m = self.M
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self.q = self.COM
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self.v = self.COMV
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@property
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def get_masses(self): #return the masses of each object
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@@ -60,39 +63,43 @@ class System:
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pzdata = np.array([body.p[2] for body in self.bodylist])
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return pxdata, pydata, pzdata
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def Mass(self): #return total system mass
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@property
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def M(self): #return total system mass
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mass = 0
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for body in self.bodylist:
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mass = mass + body.m
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return mass
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@property
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def COM(self): #return center of mass in cartesian np_array
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coord = np.zeros(3)
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for body in self.bodylist:
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coord = coord + body.m*body.q
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coord = coord/self.Mass()
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coord = coord/self.M
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return coord
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@property
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def COMV(self): #return center of mass velocity in cartesian np_array
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coord = np.zeros(3)
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for body in self.bodylist:
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coord = coord + body.p
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coord = coord/self.Mass()
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coord = coord/self.M
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return coord
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def COMShift(self): #Shift coordinates of bodies in system to COM frame and set COM at rest
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for body in self.bodylist:
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body.q = body.q - self.COM()
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body.p = body.p - self.COMV()
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return 0
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body.q = body.q - self.COM
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body.p = body.p - self.COMV
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def Lval(self): #return angular momentum of bodies in system
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@property
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def L(self): #return angular momentum of bodies in system
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L = np.zeros(3)
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for body in self.bodylist:
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L = L + np.cross(body.q,body.p)
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return L
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def Eval(self): #return total energy of bodies in system
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@property
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def E(self): #return total energy of bodies in system
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T = 0
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W = 0
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for body in self.bodylist:
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@@ -101,7 +108,8 @@ class System:
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if body != otherbody:
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rij = np.linalg.norm(body.q-otherbody.q)
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W = W - G*body.m*otherbody.m/rij
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return T + W
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E = T + W
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return E
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def Drift(self, dt):
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for body in self.bodylist:
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@@ -140,8 +148,8 @@ class System:
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for j in range(N):
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self.LP(dt)
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E[j] = self.Eval()
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L[j] = self.Lval()
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E[j] = self.E
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L[j] = self.L
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if display and j%5==0:
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# display progression
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@@ -237,8 +245,8 @@ class System:
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for j in range(N):
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self.HPC(dt)
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E[j] = self.Eval()
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L[j] = self.Lval()
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E[j] = self.E
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L[j] = self.L
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if display and j%100==0:
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# display progression
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@@ -261,3 +269,33 @@ class System:
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def __str__(self): # Called upon "str(system)"
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return str([str(body) for body in self.bodylist])
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@property
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def mu(self):
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sum = 0
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prod = 1
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for body in self.bodylist:
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prod = prod * body.m
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mu = prod/self.M
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return mu
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@property
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def ex(self): #exentricity of system (if composed of 2 bodies)
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if len(self.bodylist) != 2 :
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return np.nan
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else:
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k = (2.*self.E*(np.linalg.norm(self.L)**2))/((G**2)*(self.M**2)*(self.mu**3)) + 1.
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return k
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@property
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def sma(self): #semi major axis of system (if composed of 2 bodies)
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if len(self.bodylist) != 2 :
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return np.nan
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else:
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sma = -G*self.M*self.mu/(2.*self.E)
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return sma
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