From e34e23c4509c6dbbd201dab51786c495a9b14795 Mon Sep 17 00:00:00 2001 From: Thibault Barnouin Date: Thu, 13 Jan 2022 21:30:45 +0100 Subject: [PATCH] remove COMShift everywhere --- lib/LeapFrog.py | 24 +++++++----- lib/hermite.py | 23 ++++++----- lib/objects.py | 69 +++++++++++++++------------------ lib/plots.py | 48 ++++++++++++++--------- main.py | 6 +-- plots/2bodies_leapfrog_E.png | Bin 113527 -> 113646 bytes plots/2bodies_leapfrog_a_e.png | Bin 37456 -> 34698 bytes plots/2bodies_leapfrog_dEm.png | Bin 97519 -> 90810 bytes plots/2bodies_leapfrog_dL2.png | Bin 96925 -> 61009 bytes plots/2bodies_leapfrog_phi.png | Bin 31461 -> 31408 bytes plots/3bodies_leapfrog_E.png | Bin 57433 -> 188913 bytes plots/3bodies_leapfrog_L.png | Bin 0 -> 34349 bytes plots/3bodies_leapfrog_a_e.png | Bin 68254 -> 63870 bytes plots/3bodies_leapfrog_dEm.png | Bin 58305 -> 137390 bytes plots/3bodies_leapfrog_dL2.png | Bin 64709 -> 34580 bytes plots/3bodies_leapfrog_phi.png | Bin 57670 -> 218153 bytes 16 files changed, 93 insertions(+), 77 deletions(-) create mode 100644 plots/3bodies_leapfrog_L.png diff --git a/lib/LeapFrog.py b/lib/LeapFrog.py index 67127da..98b10ab 100644 --- a/lib/LeapFrog.py +++ b/lib/LeapFrog.py @@ -27,7 +27,6 @@ def Kick(dyn_syst, dt): def LP(dyn_syst, dt): - dyn_syst.COMShift() Drift(dyn_syst, dt / 2) Kick(dyn_syst, dt) Drift(dyn_syst, dt / 2) @@ -43,16 +42,23 @@ def leapfrog(dyn_syst, bin_syst, duration, dt, recover_param=False, display=Fals d.launch(dyn_syst.blackstyle) N = np.ceil(duration / dt).astype(int) - E = np.zeros(N,dtype=np.longdouble) - L = np.zeros((N, 3),dtype=np.longdouble) - sma = np.zeros(N,dtype=np.longdouble) - ecc = np.zeros(N,dtype=np.longdouble) - phi = np.zeros(N,dtype=np.longdouble) - for j in range(N): + E = np.zeros(N+1,dtype=np.longdouble) + L = np.zeros((N+1, 3),dtype=np.longdouble) + sma = np.zeros(N+1,dtype=np.longdouble) + ecc = np.zeros(N+1,dtype=np.longdouble) + phi = np.zeros(N+1,dtype=np.longdouble) + + E[0] = dyn_syst.ECOM + L[0] = dyn_syst.LCOM + sma[0] = bin_syst.smaCOM + ecc[0] = bin_syst.eccCOM + phi[0] = dyn_syst.phi + + for j in range(1,N+1): LP(dyn_syst,dt) - E[j] = dyn_syst.E - L[j] = dyn_syst.L + E[j] = dyn_syst.ECOM + L[j] = dyn_syst.LCOM sma[j] = bin_syst.smaCOM ecc[j] = bin_syst.eccCOM phi[j] = dyn_syst.phi diff --git a/lib/hermite.py b/lib/hermite.py index 49255d0..41abc85 100644 --- a/lib/hermite.py +++ b/lib/hermite.py @@ -69,7 +69,6 @@ def Correct(dyn_syst, dt): # correct position and velocities of bodies in syste def HPC(dyn_syst, dt): # update position and velocities of bodies in system with hermite predictor corrector - dyn_syst.COMShift() Update_a(dyn_syst) Update_j(dyn_syst) Predict(dyn_syst, dt) @@ -89,17 +88,23 @@ def hermite(dyn_syst, bin_syst, duration, dt, recover_param=False, display=False d.launch(dyn_syst.blackstyle) N = np.ceil(duration / dt).astype(int) - E = np.zeros(N,dtype=np.longdouble) - L = np.zeros((N, 3),dtype=np.longdouble) - sma = np.zeros(N,dtype=np.longdouble) - ecc = np.zeros(N,dtype=np.longdouble) - phi = np.zeros(N,dtype=np.longdouble) + E = np.zeros(N+1,dtype=np.longdouble) + L = np.zeros((N+1, 3),dtype=np.longdouble) + sma = np.zeros(N+1,dtype=np.longdouble) + ecc = np.zeros(N+1,dtype=np.longdouble) + phi = np.zeros(N+1,dtype=np.longdouble) - for j in range(N): + E[0] = dyn_syst.ECOM + L[0] = dyn_syst.LCOM + sma[0] = bin_syst.smaCOM + ecc[0] = bin_syst.eccCOM + phi[0] = dyn_syst.phi + + for j in range(1,N+1): HPC(dyn_syst, dt) - E[j] = dyn_syst.E - L[j] = dyn_syst.L + E[j] = dyn_syst.ECOM + L[j] = dyn_syst.LCOM sma[j] = bin_syst.smaCOM ecc[j] = bin_syst.eccCOM phi[j] = dyn_syst.phi diff --git a/lib/objects.py b/lib/objects.py index d7b6d43..d5ee015 100755 --- a/lib/objects.py +++ b/lib/objects.py @@ -24,10 +24,10 @@ class Body: self.vp = np.zeros(3,dtype=np.longdouble) def __repr__(self): # Called upon "print(body)" - return r"Body of mass: {0:.1e} $M_\odot$, position: {1}, velocity: {2}".format(self.m/Ms, self.q, self.v) + return r"Body of mass: {0:.1e} $M_\odot$, position: {1}, velocity: {2}".format(self.m, self.q, self.v) def __str__(self): # Called upon "str(body)" - return r"Body of mass: {0:.1e} $M_\odot$".format(self.m/Ms) + return r"Body of mass: {0:.1e} $M_\odot$".format(self.m) @property def p(self): @@ -67,19 +67,12 @@ class System(Body): zdata = np.array([body.q[2] for body in self.bodylist],dtype=np.longdouble) return xdata, ydata, zdata - - def get_velocities(self): #return the positions of the bodies - vxdata = np.array([body.v[0] for body in self.bodylist],dtype=np.longdouble) - vydata = np.array([body.v[1] for body in self.bodylist],dtype=np.longdouble) - vzdata = np.array([body.v[2] for body in self.bodylist],dtype=np.longdouble) - return vxdata, vydata, vzdata - - - def get_momenta(self): #return the momenta of the bodies - pxdata = np.array([body.p[0] for body in self.bodylist],dtype=np.longdouble) - pydata = np.array([body.p[1] for body in self.bodylist],dtype=np.longdouble) - pzdata = np.array([body.p[2] for body in self.bodylist],dtype=np.longdouble) - return pxdata, pydata, pzdata + def get_positionsCOM(self): #return the positions of the bodies in the center of mass frame + COM = self.COM + xdata = np.array([body.q[0]-COM[0] for body in self.bodylist],dtype=np.longdouble) + ydata = np.array([body.q[1]-COM[1] for body in self.bodylist],dtype=np.longdouble) + zdata = np.array([body.q[2]-COM[2] for body in self.bodylist],dtype=np.longdouble) + return xdata, ydata, zdata @property def M(self): #return total system mass @@ -149,29 +142,24 @@ class System(Body): return E @property - def LCOM(self): #return angular momentum in the center of mass of a binary system - #self.COMShiftBin() - LCOM = np.zeros(3,dtype=np.longdouble) - dr = self.bodylist[0].m/self.mu*self.bodylist[0].q#b - dv = self.bodylist[0].m/self.mu*self.bodylist[0].v#b - LCOM = self.mu*np.cross(dr,dv) - - return LCOM - - @property - def ECOM(self): #return mechanical energy in the center of mass of a binary system - #self.COMShiftBin() - dr = self.bodylist[0].m/self.mu*self.bodylist[0].q#b - dv = self.bodylist[0].m/self.mu*self.bodylist[0].v#b - ECOM = self.mu/2.*np.linalg.norm(dv)**2 - Ga*self.M*self.mu/np.linalg.norm(dr) - - return ECOM - - @property - def L(self): #return angular momentum of bodies in system - L = np.zeros(3,dtype=np.longdouble) + def ECOM(self): #return total energy of bodies in system in the center of mass frame + T, W = 0, 0 + COM, COMV = self.COM, self.COMV for body in self.bodylist: - L = L + np.cross(body.q,body.p) + T = T + 1./2.*body.m*np.linalg.norm(body.v-COMV)**2 + for otherbody in self.bodylist: + if body != otherbody: + rij = np.linalg.norm(body.q-otherbody.q) + W = W - Ga*body.m*otherbody.m/rij + E = T + W + return E + + @property + def LCOM(self): #return angular momentum of bodies in system + L = np.zeros(3,dtype=np.longdouble) + COM, COMV = self.COM, self.COMV + for body in self.bodylist: + L = L + np.cross(body.q-COM,body.p-body.m*COMV) return L @property @@ -187,6 +175,13 @@ class System(Body): E = T + W return E + @property + def L(self): #return angular momentum of bodies in system in the center of mass frame + L = np.zeros(3,dtype=np.longdouble) + for body in self.bodylist: + L = L + np.cross(body.q,body.p) + return L + @property def eccCOM(self): #exentricity of two body sub system if len(self.bodylist) == 2 : diff --git a/lib/plots.py b/lib/plots.py index 98dc150..2833b7a 100755 --- a/lib/plots.py +++ b/lib/plots.py @@ -53,7 +53,7 @@ class DynamicUpdate(): self.lines = [] for i,body in enumerate(self.dyn_syst.bodylist): - x, y, z = body.q + x, y, z = body.q/au-self.dyn_syst.COM/au lines, = self.ax.plot([x],[y],[z],'o',color="C{0:d}".format(i),label="{0:s}".format(str(body))) self.lines.append(lines) self.lines = np.array(self.lines) @@ -74,7 +74,7 @@ class DynamicUpdate(): self.ax.set_zlabel('AU') def on_running(self, dyn_syst, step=None, label=None): - xdata, ydata, zdata = dyn_syst.get_positions() + xdata, ydata, zdata = dyn_syst.get_positionsCOM() values = np.sqrt(np.sum((np.array((xdata,ydata,zdata))**2).T,axis=1))/au self.min_x, self.max_x = -np.max([np.abs(values).max(),self.max_x]), np.max([np.abs(values).max(),self.max_x]) self.set_lims() @@ -134,30 +134,40 @@ def display_parameters(E,L,sma,ecc,phi,parameters,savename=""): fig3 = plt.figure(figsize=(15,7)) ax3 = fig3.add_subplot(111) - ax3.plot(np.arange(sma[-1].shape[0])*step[-1]/yr, sma[-1]/au, label="a (step of {0:.2e}s)".format(step[-1])) - ax3.plot(np.arange(ecc[-1].shape[0])*step[-1]/yr, ecc[-1], label="e (step of {0:.2e}s)".format(step[-1])) - ax3.set(xlabel=r"$t \, [yr]$", ylabel=r"$a \, [au] \, or \, e$") + for i in range(len(E)): + ax3.plot(np.arange(E[i].shape[0])*step[-1]/yr, E[i], label="step of {0:.2e}s".format(step[i])) + ax3.set(xlabel=r"$t \, [yr]$", ylabel=r"$E \, [J]$") ax3.legend() - fig3.suptitle("Semi major axis and eccentricity "+title2) - fig3.savefig("plots/{0:s}a_e.png".format(savename),bbox_inches="tight") - + fig3.suptitle("Mechanical energy of the whole system "+title2) + fig3.savefig("plots/{0:s}E.png".format(savename),bbox_inches="tight") + fig4 = plt.figure(figsize=(15,7)) ax4 = fig4.add_subplot(111) - for i in range(len(E)): - ax4.plot(np.arange(E[i].shape[0])*step[-1]/yr, E[i], label="step of {0:.2e}s".format(step[i])) - ax4.set(xlabel=r"$t \, [yr]$", ylabel=r"$E \, [J]$") + for i in range(len(L)): + L2 = np.array([np.linalg.norm(Li)**2 for Li in L[i]]) + ax4.plot(np.arange(L[i].shape[0])*step[i]/yr, L2, label=r"$L^2$ for step of {0:.2e}s".format(step[i])) + ax4.set(xlabel=r"$t \, [yr]$", ylabel=r"$\left|\vec{L}\right|^2 \, [kg^2 \cdot m^4 \cdot s^{-2}]$",yscale='log') ax4.legend() - fig4.suptitle("Mechanical energy of the whole system "+title2) - fig4.savefig("plots/{0:s}E.png".format(savename),bbox_inches="tight") - + fig4.suptitle("Squared norm of the kinetic moment of the whole system "+title2) + fig4.savefig("plots/{0:s}L.png".format(savename),bbox_inches="tight") + fig5 = plt.figure(figsize=(15,7)) ax5 = fig5.add_subplot(111) - for i in range(len(phi)): - ax5.plot(np.arange(phi[i].shape[0])*step[-1]/yr, phi[i], label="step of {0:.2e}s".format(step[i])) - ax5.set(xlabel=r"$t \, [yr]$", ylabel=r"$\phi \, [^{\circ}]$") + ax5.plot(np.arange(sma[-1].shape[0])*step[-1]/yr, sma[-1]/au, label="a (step of {0:.2e}s)".format(step[-1])) + ax5.plot(np.arange(ecc[-1].shape[0])*step[-1]/yr, ecc[-1], label="e (step of {0:.2e}s)".format(step[-1])) + ax5.set(xlabel=r"$t \, [yr]$", ylabel=r"$a \, [au] \, or \, e$") ax5.legend() - fig5.suptitle("Inclination angle of the perturbator's orbital plane "+title2) - fig5.savefig("plots/{0:s}phi.png".format(savename),bbox_inches="tight") + fig5.suptitle("Semi major axis and eccentricity "+title2) + fig5.savefig("plots/{0:s}a_e.png".format(savename),bbox_inches="tight") + + fig6 = plt.figure(figsize=(15,7)) + ax6 = fig6.add_subplot(111) + for i in range(len(phi)): + ax6.plot(np.arange(phi[i].shape[0])*step[-1]/yr, phi[i], label="step of {0:.2e}s".format(step[i])) + ax6.set(xlabel=r"$t \, [yr]$", ylabel=r"$\phi \, [^{\circ}]$") + ax6.legend() + fig6.suptitle("Inclination angle of the perturbator's orbital plane "+title2) + fig6.savefig("plots/{0:s}phi.png".format(savename),bbox_inches="tight") plt.show(block=True) \ No newline at end of file diff --git a/main.py b/main.py index 7cd878d..5eaa253 100755 --- a/main.py +++ b/main.py @@ -12,9 +12,9 @@ from lib.units import * def main(): #initialisation m = np.array([1., 1., 1e-1],dtype=np.longdouble)*Ms#/Ms # Masses in Solar mass - a = np.array([1., 1., 10.],dtype=np.longdouble)/2.*au#/au # Semi-major axis in astronomical units + a = np.array([1., 1., 10.],dtype=np.longdouble)*au#/au # Semi-major axis in astronomical units e = np.array([0., 0., 0.25],dtype=np.longdouble) # Eccentricity - psi = np.array([0., 0., 60.],dtype=np.longdouble)*np.pi/180. # Inclination of the orbital plane in degrees + psi = np.array([0., 0., 80.],dtype=np.longdouble)*np.pi/180. # Inclination of the orbital plane in degrees x1 = np.array([0., -1., 0.],dtype=np.longdouble)*a[0]*(1.+e[0]) x2 = np.array([0., 1., 0.],dtype=np.longdouble)*a[1]*(1.+e[1]) @@ -27,7 +27,7 @@ def main(): v = np.array([v1, v2, v3],dtype=np.longdouble) #integration parameters - duration, step = 5000*yr, np.array([30.*86400.],dtype=np.longdouble) #integration time and step in seconds + duration, step = 500*yr, np.array([30./1.*86400.],dtype=np.longdouble) #integration time and step in seconds step = np.sort(step)[::-1] integrator = "leapfrog" n_bodies = 3 diff --git a/plots/2bodies_leapfrog_E.png b/plots/2bodies_leapfrog_E.png index b6738d86cd4f4c3cee3ec9dcb096abb978c5df6b..51c1aa20b0a875872731b929a393c6dd6ca3a859 100644 GIT binary patch literal 113646 zcmd43c{G-7-!Fcpfl5&bWlT~DNvMp;&`6Sb3L%+NW*I7#S#y*q3T2*U4538GRK`%5 zG9@n2#qV?UJn!?~`(68w{l{MGx9`=xQgNNI?e6CL zSURLJ{3cB;U zUwV#c`!mxqR_yx6uf5mRaw-4#^Df4V*<}azT{q+S?_W+FYiq>+`8^>O=TC(F^E=GA 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