COMBIN update
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@@ -14,6 +14,8 @@ class Body:
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self.m = mass
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self.q = position
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self.v = velocity
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self.qb = position
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self.vb = velocity
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self.a = np.zeros(3,dtype=np.longdouble)
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self.ap = np.zeros(3,dtype=np.longdouble)
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self.j = np.zeros(3,dtype=np.longdouble)
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@@ -31,6 +33,10 @@ class Body:
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def p(self):
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return self.v*self.m
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@property
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def pb(self):
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return self.vb*self.m
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class System(Body):
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def __init__(self, bodylist, main = False, blackstyle=True):
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@@ -49,25 +55,25 @@ class System(Body):
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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 get_masses(self): #return the masses of each object
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return np.array([body.m for body in self.bodylist],dtype=np.longdouble)
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@property
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def get_positions(self): #return the positions of the bodies
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xdata = np.array([body.q[0] for body in self.bodylist],dtype=np.longdouble)
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ydata = np.array([body.q[1] for body in self.bodylist],dtype=np.longdouble)
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zdata = np.array([body.q[2] for body in self.bodylist],dtype=np.longdouble)
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return xdata, ydata, zdata
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@property
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def get_velocities(self): #return the positions of the bodies
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vxdata = np.array([body.v[0] for body in self.bodylist],dtype=np.longdouble)
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vydata = np.array([body.v[1] for body in self.bodylist],dtype=np.longdouble)
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vzdata = np.array([body.v[2] for body in self.bodylist],dtype=np.longdouble)
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return vxdata, vydata, vzdata
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@property
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def get_momenta(self): #return the momenta of the bodies
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pxdata = np.array([body.p[0] for body in self.bodylist],dtype=np.longdouble)
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pydata = np.array([body.p[1] for body in self.bodylist],dtype=np.longdouble)
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@@ -106,9 +112,40 @@ class System(Body):
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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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COM = self.COM
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COMV = self.COMV
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for body in self.bodylist:
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body.q = body.q - self.COM
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body.v = body.v - self.COMV
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body.q = body.q - COM
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body.v = body.v - COMV
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def COMShiftBin(self): #Shift coordinates of inner binary system to COM frame and set COM at rest
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COM = self.COM
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COMV = self.COMV
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for body in self.bodylist:
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body.qb = body.qb - COM
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body.vb = body.vb - COMV
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@property
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def LBIN(self): #return angular momentum of inner binary
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self.COMShiftBin()
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L = np.zeros(3,dtype=np.longdouble)
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for body in self.bodylist:
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L = L + np.cross(body.qb,body.pb)
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return L
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@property
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def EBIN(self): #return total energy of inner binary
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self.COMShiftBin()
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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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T = T + 1./2.*body.m*np.linalg.norm(body.vb)**2
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for otherbody in self.bodylist:
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if body != otherbody:
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rij = np.linalg.norm(body.qb-otherbody.qb)
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W = W - Ga*body.m*otherbody.m/rij
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E = T + W
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return E
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@property
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def LCOM(self): #return angular momentum of the center of mass
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@@ -116,6 +153,9 @@ class System(Body):
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dr = self.bodylist[0].m/self.mu*self.bodylist[0].q
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dv = self.bodylist[0].m/self.mu*self.bodylist[0].v
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LCOM = self.mu*np.cross(dr,dv)
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LCOM = self.L
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return LCOM
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@property
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@@ -123,6 +163,9 @@ class System(Body):
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dr = self.bodylist[0].m/self.mu*self.bodylist[0].q
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dv = self.bodylist[0].m/self.mu*self.bodylist[0].v
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ECOM = self.mu/2.*np.linalg.norm(dv)**2 - Ga*self.M*self.mu/np.linalg.norm(dr)
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ECOM = self.E
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return ECOM
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@property
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@@ -148,7 +191,7 @@ class System(Body):
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@property
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def ecc(self): #exentricity of two body sub system
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if len(self.bodylist) == 2 :
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ecc = (2.*self.ECOM*(np.linalg.norm(self.LCOM)**2))/((Ga**2)*(self.M**2)*(self.mu**3)) + 1.
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ecc = (2.*self.EBIN*(np.linalg.norm(self.LBIN)**2))/((Ga**2)*(self.M**2)*(self.mu**3)) + 1.
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else :
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ecc = np.nan
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return ecc
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@@ -156,7 +199,7 @@ class System(Body):
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@property
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def sma(self): #semi major axis of two body sub system
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if len(self.bodylist) == 2 :
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sma = -Ga*self.M*self.mu/(2.*self.ECOM)
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sma = -Ga*self.M*self.mu/(2.*self.EBIN)
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else :
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sma = np.nan
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return sma
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