remove dimensionless Ga
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@@ -22,7 +22,7 @@ def Kick(dyn_syst, dt):
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for otherbody in dyn_syst.bodylist:
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if body != otherbody:
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rij = np.linalg.norm(body.q - otherbody.q)
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body.a = body.a - (body.q - otherbody.q) * Ga * otherbody.m / (rij ** 3)
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body.a = body.a - (body.q - otherbody.q) * G * otherbody.m / (rij ** 3)
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body.v = body.v + dt * body.a
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@@ -17,7 +17,7 @@ def Update_a(dyn_syst): # update acceleration of bodies in system
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for otherbody in dyn_syst.bodylist:
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if body != otherbody:
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rij = np.linalg.norm(body.q - otherbody.q)
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body.a = body.a - (body.q - otherbody.q) * Ga * otherbody.m / (rij ** 3)
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body.a = body.a - (body.q - otherbody.q) * G * otherbody.m / (rij ** 3)
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def Update_j(dyn_syst): # update jerk of bodies in system
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@@ -29,7 +29,7 @@ def Update_j(dyn_syst): # update jerk of bodies in system
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deltav = (body.v - otherbody.v)
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deltar = (body.q - otherbody.q)
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vr = deltav + 3. * deltar * np.inner(deltav, deltar) / (rij ** 2)
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body.j = body.j - Ga * otherbody.m / (rij ** 3) * vr
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body.j = body.j - G * otherbody.m / (rij ** 3) * vr
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def Predict(dyn_syst, dt): # update predicted position and velocities of bodies in system
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@@ -44,7 +44,7 @@ def Update_ap(dyn_syst): # update acceleration of bodies in system
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for otherbody in dyn_syst.bodylist:
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if body != otherbody:
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rij = np.linalg.norm(body.qp - otherbody.qp)
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body.ap = body.ap - (body.qp - otherbody.qp) * Ga * otherbody.m / (rij ** 3)
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body.ap = body.ap - (body.qp - otherbody.qp) * G * otherbody.m / (rij ** 3)
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def Update_jp(dyn_syst): # update jerk of bodies in system
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@@ -56,7 +56,7 @@ def Update_jp(dyn_syst): # update jerk of bodies in system
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deltav = (body.vp - otherbody.vp)
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deltar = (body.qp - otherbody.qp)
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vr = deltav + 3. * deltar * np.inner(deltav, deltar) / (rij ** 2)
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body.jp = body.jp - Ga * otherbody.m / (rij ** 3) * vr
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body.jp = body.jp - G * otherbody.m / (rij ** 3) * vr
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def Correct(dyn_syst, dt): # correct position and velocities of bodies in system
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@@ -137,7 +137,7 @@ class System(Body):
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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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W = W - G*body.m*otherbody.m/rij
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E = T + W
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return E
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@@ -150,7 +150,7 @@ class System(Body):
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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.q-otherbody.q)
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W = W - Ga*otherbody.m*body.m/(2.*rij)
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W = W - G*otherbody.m*body.m/(2.*rij)
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E = T + W
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return E
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@@ -171,7 +171,7 @@ class System(Body):
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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.q-otherbody.q)
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W = W - Ga*otherbody.m*body.m/(2.*rij)
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W = W - G*otherbody.m*body.m/(2.*rij)
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E = T + W
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return E
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@@ -185,7 +185,7 @@ class System(Body):
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@property
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def eccCOM(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.ECOM*(np.linalg.norm(self.LCOM)**2))/(G**2*self.M**2*self.mu**3) + 1.
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else :
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ecc = np.nan
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@@ -194,7 +194,7 @@ class System(Body):
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@property
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def smaCOM(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.mu*self.bodylist[0].m/(2.*self.ECOM)
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sma = -G*self.mu*self.bodylist[0].m/(2.*self.ECOM)
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else :
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sma = np.nan
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return sma
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@@ -202,7 +202,7 @@ 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.EBIN*(np.linalg.norm(self.LBIN)**2))/(Ga**2*self.M**2*self.mu**3) + 1.
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ecc = (2.*self.EBIN*(np.linalg.norm(self.LBIN)**2))/(G**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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@@ -210,7 +210,7 @@ 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.mu*self.bodylist[0].m/(2.*self.EBIN)
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sma = -G*self.mu*self.bodylist[0].m/(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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@@ -7,5 +7,4 @@ Units used in the project.
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globals()['G'] = 6.67e-11 #Gravitational constant in SI units
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globals()['Ms'] = 2e30 #Solar mass in kg
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globals()['au'] = 1.5e11 #Astronomical unit in m
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globals()['yr'] = 3.15576e7 #year in seconds
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globals()['Ga'] = G#*Ms/au**3 #Gravitational constant dimensionless
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globals()['yr'] = 3.15576e7 #year in seconds
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6
main.py
6
main.py
@@ -22,9 +22,9 @@ def main():
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x3 = np.array([np.cos(psi[2]), 0., np.sin(psi[2])],dtype=np.longdouble)*a[2]*(1.+e[2])
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q = np.array([x1, x2, x3],dtype=np.longdouble)
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v1 = np.array([np.sqrt(Ga*m[0]*m[1]/((m[0]+m[1])*np.sqrt(np.sum((q[0]-q[1])**2)))), 0., 0.],dtype=np.longdouble)
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v2 = np.array([-np.sqrt(Ga*m[0]*m[1]/((m[0]+m[1])*np.sqrt(np.sum((q[0]-q[1])**2)))), 0., 0.],dtype=np.longdouble)
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v3 = np.array([0., np.sqrt(Ga*(m[0]+m[1])*(2./np.sqrt(np.sum(q[2]**2))-1./a[2])), 0.],dtype=np.longdouble)
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v1 = np.array([np.sqrt(G*m[0]*m[1]/((m[0]+m[1])*np.sqrt(np.sum((q[0]-q[1])**2)))), 0., 0.],dtype=np.longdouble)
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v2 = np.array([-np.sqrt(G*m[0]*m[1]/((m[0]+m[1])*np.sqrt(np.sum((q[0]-q[1])**2)))), 0., 0.],dtype=np.longdouble)
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v3 = np.array([0., np.sqrt(G*(m[0]+m[1])*(2./np.sqrt(np.sum(q[2]**2))-1./a[2])), 0.],dtype=np.longdouble)
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v = np.array([v1, v2, v3],dtype=np.longdouble)
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#integration parameters
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