From 70439889db7f3925a263d57294dfe72324f22744 Mon Sep 17 00:00:00 2001 From: Thibault Barnouin Date: Fri, 14 Jan 2022 00:58:56 +0100 Subject: [PATCH] Finally get correct formula for Energy, Semi Major Axis and Eccentricity --- lib/objects.py | 16 ++++++++-------- main.py | 4 ++-- plots/2bodies_leapfrog_E.png | Bin 113646 -> 45848 bytes plots/2bodies_leapfrog_L.png | Bin 0 -> 32423 bytes plots/2bodies_leapfrog_a_e.png | Bin 34698 -> 35987 bytes plots/2bodies_leapfrog_dEm.png | Bin 90810 -> 53343 bytes plots/2bodies_leapfrog_dL2.png | Bin 61009 -> 73245 bytes plots/2bodies_leapfrog_phi.png | Bin 31408 -> 31966 bytes plots/3bodies_leapfrog_E.png | Bin 188913 -> 74880 bytes plots/3bodies_leapfrog_L.png | Bin 34349 -> 33484 bytes plots/3bodies_leapfrog_a_e.png | Bin 63870 -> 48227 bytes plots/3bodies_leapfrog_dEm.png | Bin 137390 -> 69116 bytes plots/3bodies_leapfrog_dL2.png | Bin 34580 -> 33407 bytes plots/3bodies_leapfrog_dynsyst.gif | Bin 122558 -> 2164815 bytes plots/3bodies_leapfrog_phi.png | Bin 218153 -> 59693 bytes 15 files changed, 10 insertions(+), 10 deletions(-) create mode 100644 plots/2bodies_leapfrog_L.png diff --git a/lib/objects.py b/lib/objects.py index d5ee015..eb7500e 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, self.q, self.v) + return r"Body of mass: {0:.1e} $M_\odot$, position: {1}, velocity: {2}".format(self.m/Ms, self.q, self.v) def __str__(self): # Called upon "str(body)" - return r"Body of mass: {0:.1e} $M_\odot$".format(self.m) + return r"Body of mass: {0:.1e} $M_\odot$".format(self.m/Ms) @property def p(self): @@ -150,7 +150,7 @@ class System(Body): for otherbody in self.bodylist: if body != otherbody: rij = np.linalg.norm(body.q-otherbody.q) - W = W - Ga*body.m*otherbody.m/rij + W = W - Ga*otherbody.m/(body.m+otherbody.m)*body.m**2/rij E = T + W return E @@ -171,7 +171,7 @@ class System(Body): for otherbody in self.bodylist: if body != otherbody: rij = np.linalg.norm(body.q-otherbody.q) - W = W - Ga*body.m*otherbody.m/rij + W = W - Ga*otherbody.m/(body.m+otherbody.m)*body.m**2/rij E = T + W return E @@ -185,7 +185,7 @@ class System(Body): @property def eccCOM(self): #exentricity of two body sub system if len(self.bodylist) == 2 : - ecc = (2.*self.ECOM*(np.linalg.norm(self.LCOM)**2))/((Ga**2)*(self.M**2)*(self.mu**3)) + 1. + ecc = (2.*self.ECOM*(np.linalg.norm(self.LCOM)**2))/(Ga**2*self.M**2*self.mu**3) + 1. else : ecc = np.nan return ecc @@ -193,7 +193,7 @@ class System(Body): @property def smaCOM(self): #semi major axis of two body sub system if len(self.bodylist) == 2 : - sma = -Ga*self.M*self.mu/(2.*self.ECOM) + sma = -Ga*self.mu*self.bodylist[0].m/(2.*self.ECOM) else : sma = np.nan return sma @@ -201,7 +201,7 @@ class System(Body): @property def ecc(self): #exentricity of two body sub system if len(self.bodylist) == 2 : - ecc = (2.*self.EBIN*(np.linalg.norm(self.LBIN)**2))/((Ga**2)*(self.M**2)*(self.mu**3)) + 1. + ecc = (2.*self.EBIN*(np.linalg.norm(self.LBIN)**2))/(Ga**2*self.M**2*self.mu**3) + 1. else : ecc = np.nan return ecc @@ -209,7 +209,7 @@ class System(Body): @property def sma(self): #semi major axis of two body sub system if len(self.bodylist) == 2 : - sma = -Ga*self.M*self.mu/(2.*self.EBIN) + sma = -Ga*self.mu*self.bodylist[0].m/(2.*self.EBIN) else : sma = np.nan return sma diff --git a/main.py b/main.py index 5eaa253..e21ee86 100755 --- a/main.py +++ b/main.py @@ -12,7 +12,7 @@ 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)*au#/au # Semi-major axis in astronomical units + a = np.array([0.75, 0.75, 5.],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., 80.],dtype=np.longdouble)*np.pi/180. # Inclination of the orbital plane in degrees @@ -27,7 +27,7 @@ def main(): v = np.array([v1, v2, v3],dtype=np.longdouble) #integration parameters - duration, step = 500*yr, np.array([30./1.*86400.],dtype=np.longdouble) #integration time and step in seconds + duration, step = 5000*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 51c1aa20b0a875872731b929a393c6dd6ca3a859..113f1517d2d990ee4794dac5592058b6cc39ec1a 100644 GIT binary patch literal 45848 zcmcG$cT^SD_AW{^iBY4*E*6M_1q2CQKp-}n6zLt5-jTAY0wxxsQlv{)>0Nq<*g&L7 z?+~T4DN;5_+3>z)&bhyT?z?ZiG2U~GbAo`othMHxUt9a(b$Q7h+YWDIU|`rGEpdvC1)l7 zbReGXCyie&UcC6jR=L!L!xm%5zrS=T&~@W|P{_%xla~ax4y_hv>XbN))D*^L)K{v_GeQ2+gk;ZDyn>GS`7{dbMj>+k;kQeI*YdB^y3izo2bzhB)63b?oV 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