From 700b3b6c645de4715a2f67e393989d3caa915914 Mon Sep 17 00:00:00 2001 From: Thibault Barnouin Date: Fri, 26 Nov 2021 17:06:47 +0100 Subject: [PATCH] correct computation of center of mass velocity --- lib/objects.py | 20 ++++------------ main.py | 30 ++++++++++++------------ plots/2bodies_leapfrog_a_e.png | Bin 36741 -> 36742 bytes plots/2bodies_leapfrog_dEm.png | Bin 191745 -> 166454 bytes plots/2bodies_leapfrog_dL2.png | Bin 134212 -> 124600 bytes plots/2bodies_leapfrog_dynsyst.gif | Bin 193491 -> 1354138 bytes plots/3bodies_leapfrog_a_e.png | Bin 0 -> 37061 bytes plots/3bodies_leapfrog_dEm.png | Bin 227082 -> 167245 bytes plots/3bodies_leapfrog_dL2.png | Bin 185659 -> 125022 bytes plots/3bodies_leapfrog_dynsyst.gif | Bin 370184 -> 1251569 bytes plots/3bodies_mass_leapfrog_a_e.png | Bin 0 -> 43281 bytes plots/3bodies_mass_leapfrog_dEm.png | Bin 0 -> 187676 bytes plots/3bodies_mass_leapfrog_dL2.png | Bin 0 -> 36417 bytes plots/3bodies_psi80deg_leapfrog_a_e.png | Bin 0 -> 37528 bytes plots/3bodies_psi80deg_leapfrog_dEm.png | Bin 0 -> 198102 bytes plots/3bodies_psi80deg_leapfrog_dL2.png | Bin 0 -> 37933 bytes 16 files changed, 20 insertions(+), 30 deletions(-) create mode 100644 plots/3bodies_leapfrog_a_e.png create mode 100644 plots/3bodies_mass_leapfrog_a_e.png create mode 100644 plots/3bodies_mass_leapfrog_dEm.png create mode 100644 plots/3bodies_mass_leapfrog_dL2.png create mode 100644 plots/3bodies_psi80deg_leapfrog_a_e.png create mode 100644 plots/3bodies_psi80deg_leapfrog_dEm.png create mode 100644 plots/3bodies_psi80deg_leapfrog_dL2.png diff --git a/lib/objects.py b/lib/objects.py index 33962b8..6d7db93 100755 --- a/lib/objects.py +++ b/lib/objects.py @@ -101,7 +101,7 @@ class System(Body): def COMV(self): #return center of mass velocity in cartesian np_array coord = np.zeros(3) for body in self.bodylist: - coord = coord + body.v + coord = coord + body.m*body.v coord = coord/self.M return coord @@ -113,25 +113,15 @@ class System(Body): @property def LCOM(self): #return angular momentum of the center of mass LCOM = np.zeros(3) - dr = np.zeros(3) - dv = np.zeros(3) - for body in self.bodylist: - for otherbody in self.bodylist: - if body != otherbody: - dr = body.q-otherbody.q - dv = body.v-otherbody.v + dr = self.bodylist[0].m/self.mu*self.bodylist[0].q + dv = self.bodylist[0].m/self.mu*self.bodylist[0].v LCOM = self.mu*np.cross(dr,dv) return LCOM @property def ECOM(self): #return mechanical energy of the center of mass - dr = np.zeros(3) - dv = np.zeros(3) - for body in self.bodylist: - for otherbody in self.bodylist: - if body != otherbody: - dr = body.q-otherbody.q - dv = body.v-otherbody.v + dr = self.bodylist[0].m/self.mu*self.bodylist[0].q + dv = self.bodylist[0].m/self.mu*self.bodylist[0].v ECOM = self.mu/2.*np.linalg.norm(dv)**2 - Ga*self.M*self.mu/np.linalg.norm(dr) return ECOM diff --git a/main.py b/main.py index 14504c5..fbf0b0b 100755 --- a/main.py +++ b/main.py @@ -16,33 +16,33 @@ def main(): e = np.array([0., 0., 1./4.]) # Eccentricity psi = np.array([0., 0., 0.])*np.pi/180. # Inclination of the orbital plane in degrees - x1 = np.array([0., -1., 0.])*a[0] - x2 = np.array([0., 1., 0.])*a[1] - x3 = np.array([np.cos(psi[2]), 0., np.sin(psi[2])])*a[2] + x1 = np.array([0., -1., 0.])*a[0]*(1.+e[0]) + x2 = np.array([0., 1., 0.])*a[1]*(1.+e[1]) + x3 = np.array([np.cos(psi[2]), 0., np.sin(psi[2])])*a[2]*(1.+e[2]) q = np.array([x1, x2, x3]) - v1 = np.array([np.sqrt(Ga*m[1]**2/((m[0]+m[1])*np.sqrt(np.sum((q[0]-q[1])**2)))), 0., 0.]) - v2 = np.array([-np.sqrt(Ga*m[0]**2/((m[0]+m[1])*np.sqrt(np.sum((q[0]-q[1])**2)))), 0., 0.]) + 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.]) + 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.]) v3 = np.array([0., np.sqrt(Ga*(m[0]+m[1])*(2./np.sqrt(np.sum(q[2]**2))-1./a[2])), 0.]) v = np.array([v1, v2, v3]) #integration parameters duration, step = 100*yr/yr, np.array([1./(365.25*2.), 1./(365.25*1.), 5./(365.25*1.)])*yr/yr #integration time and step in years - step = np.sort(step)[::-1] + step = np.sort(step) integrator = "leapfrog" - n_bodies = 2 - display = True - savename = "{0:d}bodies_{1:s}".format(n_bodies, integrator) + n_bodies = 3 + display = False + savename = "{0:d}bodies_mass_{1:s}".format(n_bodies, integrator) #simulation start - bodylist = [] - for i in range(n_bodies): - bodylist.append(Body(m[i], q[i], v[i])) - bin_syst = System(bodylist[0:2]) - dyn_syst = System(bodylist, main=True) - E, L = [], [] for i,step0 in enumerate(step): + bodylist = [] + for j in range(n_bodies): + bodylist.append(Body(m[j], q[j], v[j])) + bin_syst = System(bodylist[0:2]) + dyn_syst = System(bodylist, main=True) + if i != 0: display = False if integrator.lower() in ['leapfrog', 'frogleap', 'frog']: diff --git a/plots/2bodies_leapfrog_a_e.png b/plots/2bodies_leapfrog_a_e.png index bd08fa11cdab712da1bc339e15a125e42576bca4..76d3b93e27a3d0e67cfbc893769813550b12fe25 100644 GIT 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