From ff1c46df713b9a15ae14538409f8af9af1c4b2da Mon Sep 17 00:00:00 2001 From: Alex_Hubert Date: Thu, 18 Nov 2021 19:50:07 +0100 Subject: [PATCH] object = system Properties --- lib/objects.py | 70 +++++++++++++++++++++++++-------- lib/plots.py | 5 --- main.py | 2 +- plots/2bodies_leapfrog_dEm.png | Bin 131724 -> 55624 bytes plots/2bodies_leapfrog_dL2.png | Bin 119219 -> 112009 bytes 5 files changed, 55 insertions(+), 22 deletions(-) diff --git a/lib/objects.py b/lib/objects.py index deb672f..975e34b 100755 --- a/lib/objects.py +++ b/lib/objects.py @@ -28,12 +28,15 @@ class Body: def __str__(self): # Called upon "str(body)" return r"Body of mass: {0:.2f} $M_\odot$".format(self.m) -class System: +class System(Body): def __init__(self, bodylist, blackstyle=True): - self.blackstyle = blackstyle + self.blackstyle = blackstyle #for dark mode in plot self.bodylist = np.array(bodylist) - self.time = 0 + self.time = 0 #lifetime of system + self.m = self.M + self.q = self.COM + self.v = self.COMV @property def get_masses(self): #return the masses of each object @@ -60,39 +63,43 @@ class System: pzdata = np.array([body.p[2] for body in self.bodylist]) return pxdata, pydata, pzdata - def Mass(self): #return total system mass + @property + def M(self): #return total system mass mass = 0 for body in self.bodylist: mass = mass + body.m return mass + @property def COM(self): #return center of mass in cartesian np_array coord = np.zeros(3) for body in self.bodylist: coord = coord + body.m*body.q - coord = coord/self.Mass() + coord = coord/self.M return coord + @property def COMV(self): #return center of mass velocity in cartesian np_array coord = np.zeros(3) for body in self.bodylist: coord = coord + body.p - coord = coord/self.Mass() + coord = coord/self.M return coord def COMShift(self): #Shift coordinates of bodies in system to COM frame and set COM at rest for body in self.bodylist: - body.q = body.q - self.COM() - body.p = body.p - self.COMV() - return 0 + body.q = body.q - self.COM + body.p = body.p - self.COMV - def Lval(self): #return angular momentum of bodies in system + @property + def L(self): #return angular momentum of bodies in system L = np.zeros(3) for body in self.bodylist: L = L + np.cross(body.q,body.p) return L - def Eval(self): #return total energy of bodies in system + @property + def E(self): #return total energy of bodies in system T = 0 W = 0 for body in self.bodylist: @@ -101,7 +108,8 @@ class System: if body != otherbody: rij = np.linalg.norm(body.q-otherbody.q) W = W - G*body.m*otherbody.m/rij - return T + W + E = T + W + return E def Drift(self, dt): for body in self.bodylist: @@ -140,8 +148,8 @@ class System: for j in range(N): self.LP(dt) - E[j] = self.Eval() - L[j] = self.Lval() + E[j] = self.E + L[j] = self.L if display and j%5==0: # display progression @@ -237,8 +245,8 @@ class System: for j in range(N): self.HPC(dt) - E[j] = self.Eval() - L[j] = self.Lval() + E[j] = self.E + L[j] = self.L if display and j%100==0: # display progression @@ -261,3 +269,33 @@ class System: def __str__(self): # Called upon "str(system)" return str([str(body) for body in self.bodylist]) + @property + def mu(self): + sum = 0 + prod = 1 + for body in self.bodylist: + prod = prod * body.m + mu = prod/self.M + return mu + + @property + def ex(self): #exentricity of system (if composed of 2 bodies) + if len(self.bodylist) != 2 : + return np.nan + else: + k = (2.*self.E*(np.linalg.norm(self.L)**2))/((G**2)*(self.M**2)*(self.mu**3)) + 1. + return k + + @property + def sma(self): #semi major axis of system (if composed of 2 bodies) + if len(self.bodylist) != 2 : + return np.nan + else: + sma = -G*self.M*self.mu/(2.*self.E) + return sma + + + + + + diff --git a/lib/plots.py b/lib/plots.py index 12054fb..72a9162 100755 --- a/lib/plots.py +++ b/lib/plots.py @@ -107,11 +107,6 @@ def display_parameters(E,L,parameters,savename=""): if savename != "": savename += "_" duration, step, dyn_syst, integrator = parameters - if type(step) != list: - step = [step] - print(E.shape, L.shape) - if (len(E.shape) == 1) and (len(L.shape) == 2): - E, L = [E], [L] bodies = "" for body in dyn_syst.bodylist: bodies += str(body)+" ; " diff --git a/main.py b/main.py index 7b95918..1b94152 100755 --- a/main.py +++ b/main.py @@ -28,7 +28,7 @@ def main(): duration, step = 100*yr/yr, np.array([1./(365.25*2.), 1./365.25])*yr/yr #integration time and step in years integrator = "leapfrog" n_bodies = 2 - display = False + display = True savename = "{0:d}bodies_{1:s}".format(n_bodies, integrator) #simulation start diff --git a/plots/2bodies_leapfrog_dEm.png b/plots/2bodies_leapfrog_dEm.png index cb873e5e76cb8831db344373943fdaec796c47d2..e2d9d25afabeeaab44f39882b809c1022c13603e 100644 GIT binary patch literal 55624 zcmdqJ1yoksz6Z)Sx46}3+W{p7ZXx@7!_Dy)VWck1?TJ?$KnJIvgy`k6>|!TZP&=3Ut)!0^eHHsGej?(Rj>&h z>9Dq;>TNCg))l?m^USeBVe}Ti{<0=)=CI_MUp9x=j_kW|LF6UH^t|1q9+kkcd(CHL zSr1yBJ#w#h3vj7P*6_HY56f*x5_=*>+t#b 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