From 62b9f0a0bc4edd188d0c2abae787de85c038a710 Mon Sep 17 00:00:00 2001 From: Alex_Hubert Date: Tue, 11 Jan 2022 14:13:49 +0100 Subject: [PATCH] phi derivation --- lib/objects.py | 10 ++++++++++ main.py | 4 ++-- plots/3bodies_leapfrog_a_e.png | Bin 55483 -> 42971 bytes plots/3bodies_leapfrog_dEm.png | Bin 78745 -> 70296 bytes plots/3bodies_leapfrog_dL2.png | Bin 63439 -> 69549 bytes 5 files changed, 12 insertions(+), 2 deletions(-) diff --git a/lib/objects.py b/lib/objects.py index 2883b12..1985f15 100755 --- a/lib/objects.py +++ b/lib/objects.py @@ -5,6 +5,8 @@ Class definition for physical attribute """ from os import system import numpy as np +from astropy.coordinates import Angle +from astropy import units as u from lib.plots import DynamicUpdate from lib.units import * @@ -203,3 +205,11 @@ class System(Body): else : sma = np.nan return sma + + def phi(self,body1,body2): #return angle in degree between plans formed by body1 and body2 trajectories + n1 = np.cross(body1.q,body1.v) + n2 = np.cross(body2.q, body2.v) + phi = np.arccos(np.dot(n1, n2) / (np.linalg.norm(n1) * np.linalg.norm(n2))) + phi = Angle(phi, u.radian) + phi = phi.dec + return phi \ No newline at end of file diff --git a/main.py b/main.py index 9d9ce57..be8b0c3 100755 --- a/main.py +++ b/main.py @@ -14,7 +14,7 @@ def main(): m = np.array([1., 1., 1e-1],dtype=np.longdouble)*Ms/Ms # Masses in Solar mass a = np.array([1., 1., 5.],dtype=np.longdouble)*au/au # Semi-major axis in astronomical units e = np.array([0., 0., 0.],dtype=np.longdouble) # Eccentricity - psi = np.array([0., 0., 45.],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 - 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