def SingleParticleDerivativeVector(self, kstate, particle, t):
#print("\n\n\nInput XYZ state: ", self.state)
if self.interaction == False:
rad = farts.xy2rad(kstate[particle])
elif self.interaction == 'ClassicalNBody':
rad = farts.xy2rad(kstate[particle],
self.SingleParticleNewtonianForce(particle, 100, self.cr))
elif self.interation == True:
raise ValueError('Ambiguous interaction specification')
r = rad[0,0]
theta = rad[0,1]
phi = rad[0,2]
if(r > 999 or r < self.event_horizon+0.2):
if particle not in self.cleanup:
self.cleanup.append(particle)
f = np.array(([rad[0,0],rad[1,0]],
[rad[0,1],rad[1,1]],
[rad[0,2],rad[1,2]]))
#print("\nInput RTP state: ", f)
rdd = (-4*pow(self.M,3) + f[0,0]*(4*pow(self.M,2) + f[0,0]*(-self.M + self.M*pow(f[0,1],2) + f[0,0]*pow(-2*self.M + f[0,0],2)*(pow(f[1,1],2) + pow(f[2,1],2)*pow(np.sin(f[1,0]),2)))))/(pow(f[0,0],3)*(-2*self.M + f[0,0]))
Tdd = (-2*f[0,1]*f[1,1])/f[0,0] + np.cos(f[1,0])*pow(f[2,1],2)*np.sin(f[1,0])
Pdd = (-2*(f[0,1] + (np.cos(f[1,0])/np.sin(f[1,0]))*f[0,0]*f[1,1])*f[2,1])/f[0,0]
# The Kerr metric
G = np.array([[f[0,1],rdd],
[f[1,1],Tdd],
[f[2,1],Pdd]])
#print("\nRTP G: ",G)
#print("G: \n", G)
xyG = farts.G2xy(G,r,theta,phi)
#print("\nXYZ G: ",xyG)
#print("\nxyG: \n",xyG)
return(xyG)
def MakeInitialConditions(self):
self.cleanup = []
vecs = np.zeros((self.start_particles,2,2))
for vec in xrange(self.start_particles):
r = ((12-5)*np.random.random())+5
phi = 2*np.pi*np.random.random()
phid = ((0.1-0.001)*np.random.random())+0.001
vecs[vec] = [[r*np.cos(phi), r*np.sin(phi)],
[-r*np.sin(phi)*phid, r*np.cos(phi)*phid]]
return(vecs)
