From 6987baaf3acae6c1fab4a2f1f26af4517cc9b4f4 Mon Sep 17 00:00:00 2001 From: Thibault Barnouin Date: Fri, 5 Nov 2021 14:31:30 +0100 Subject: [PATCH] Initial conditions for 3 bodies --- lib/integrator.py | 6 ++++-- lib/objects.py | 4 +++- lib/plots.py | 23 ++++++++++++----------- main.py | 22 ++++++++++++++-------- plots/Em.png | Bin 200943 -> 56683 bytes plots/L2.png | Bin 36310 -> 53830 bytes plots/dynsyst.gif | Bin 1110278 -> 78252 bytes 7 files changed, 33 insertions(+), 22 deletions(-) diff --git a/lib/integrator.py b/lib/integrator.py index c31076b..7a9c971 100755 --- a/lib/integrator.py +++ b/lib/integrator.py @@ -10,7 +10,9 @@ import time import numpy as np from lib.plots import DynamicUpdate -globals()["G"] = 1. #Gravitationnal constant +globals()['G'] = 6.67e-11 #Gravitational constant in SI units +globals()['Ms'] = 2e30 #Solar mass in kg +globals()['au'] = 1.5e11 #Astronomical unit in m def dp_dt(m_array, q_array): """ @@ -20,7 +22,7 @@ def dp_dt(m_array, q_array): dp_array = np.zeros(q_array.shape) for i in range(q_array.shape[0]): q_j = np.delete(q_array, i, 0) - m_j = np.delete(m_array, i, 0)#.reshape((q_j.shape[0],1)) + m_j = np.delete(m_array, i, 0) dp_array[i] = -G*m_array[i]*np.sum(m_j/np.sum(np.sqrt(np.sum((q_j-q_array[i])**2, axis=0)))**3*(q_j-q_array[i]), axis=0) dp_array[np.isnan(dp_array)] = 0. return dp_array diff --git a/lib/objects.py b/lib/objects.py index ee535ec..42fdff7 100755 --- a/lib/objects.py +++ b/lib/objects.py @@ -5,6 +5,9 @@ Class definition for physical atribute """ import numpy as np +globals()['G'] = 6.67e-11 #Gravitational constant in SI units +globals()['Ms'] = 2e30 #Solar mass in kg +globals()['au'] = 1.5e11 #Astronomical unit in m class Body: @@ -67,7 +70,6 @@ class System: return L def Eval(self): #return total energy of bodies in system - G = 1. #Gravitational constant (here normalized) T = 0 W = 0 for body in self.bodylist: diff --git a/lib/plots.py b/lib/plots.py index f04f205..9a61177 100755 --- a/lib/plots.py +++ b/lib/plots.py @@ -30,17 +30,18 @@ class DynamicUpdate(): def on_running(self, xdata, ydata, zdata, step=None, label=None): #Update data (with the new _and_ the old points) - self.lines.set_data_3d(xdata, ydata, zdata) - if not label is None: - self.ax.set_title(label) - #Need both of these in order to rescale - self.ax.relim() - self.ax.autoscale_view() - #We need to draw *and* flush - self.fig.canvas.draw() - self.fig.canvas.flush_events() - if not step is None and step%10==0: - self.fig.savefig("tmp/{0:05d}.png".format(step),bbox_inches="tight") + if not step is None and step%100==0: + self.lines.set_data_3d(xdata, ydata, zdata) + if not label is None: + self.ax.set_title(label) + #Need both of these in order to rescale + self.ax.relim() + self.ax.autoscale_view() + #We need to draw *and* flush + self.fig.canvas.draw() + self.fig.canvas.flush_events() + if not step is None and step%100==0: + self.fig.savefig("tmp/{0:05d}.png".format(step),bbox_inches="tight") #Example def __call__(self): diff --git a/main.py b/main.py index 036a05b..f3820aa 100755 --- a/main.py +++ b/main.py @@ -6,18 +6,24 @@ import matplotlib.pyplot as plt from lib.integrator import frogleap from lib.objects import Body, System +globals()['G'] = 6.67e-11 #Gravitational constant in SI units +globals()['Ms'] = 2e30 #Solar mass in kg +globals()['au'] = 1.5e11 #Astronomical unit in m + def main(): #initialisation - m = np.array([1, 1, 1e-5]) + m = np.array([1., 1., 0.1])*Ms # Masses in Solar mass + a = np.array([1., 1., 5.])*au # Semi-major axis in astronomical units + psi = np.array([0., 0., 80.])*np.pi/180. # Inclination of the orbital plane in degrees - x1 = np.array([-1, 0, 0]) - x2 = np.array([1, 0, 0]) - x3 = np.array([100, 0, 20]) + x1 = np.array([-1., 0., 0.])*a[0] + x2 = np.array([1., 0., 0.])*a[1] + x3 = np.array([np.cos(psi[2]), 0., np.sin(psi[2])])*a[2] q = np.array([x1, x2, x3]) - v1 = np.array([0, -0.35, 0]) - v2 = np.array([0, 0.35, 0]) - v3 = np.array([0, 20., 0]) + v1 = np.array([0, -np.sqrt(G*Ms/np.sqrt(np.sum(x1**2))), 0]) + v2 = np.array([0, np.sqrt(G*Ms/np.sqrt(np.sum(x2**2))), 0]) + v3 = np.array([0, np.sqrt(G*Ms*(2./np.sqrt(np.sum(x3**2))-1./a[2])), 0]) v = np.array([v1, v2, v3]) bodylist = [] @@ -27,7 +33,7 @@ def main(): dyn_syst.COMShift() duration, step = 100, 0.01 - E, L = frogleap(duration, step, dyn_syst, recover_param=True)#, display=True) + E, L = frogleap(duration, step, dyn_syst, recover_param=True, display=True) fig1 = plt.figure(figsize=(30,15)) ax1 = fig1.add_subplot(111) ax1.plot(np.arange(E.shape[0])/duration, E, label=r"$E_m$") diff --git a/plots/Em.png b/plots/Em.png index 495f36eb5444e5066e87f6cbae7706bfe3e4f865..28a7d1338b0f948cad440778708198403cd84808 100644 GIT binary patch literal 56683 zcmcG$cU+W7);8P@tL~`ix{fknKt~i2fstqv8e9h%L_kGAG7b`yG}4lztxWsozsT-_1Vn_x|zx@wvZsbt$XvsygvH*QrNW)RZ`P@a(|h zaGc7&{&Ee6`~FuP?jJ?}+y?&-DgBr${15(~;*EP6wr2MnZ`zsSRBzt<-OBc!)$QMo zI+)rKZ`<043B!NR9JRQ2?{}iKh=?^dK-kvKT%;m6Hv%U4{`X&Xh&bGyo9Mq=-pI$_ 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