Vector Approach Elliptical Orbits RK4.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def getfocus(a,ecc):\n",
    "    c=a*ecc\n",
    "    return c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def getsemiminor(a,ecc):\n",
    "    c=getfocus(a,ecc)\n",
    "    b=np.sqrt(a**2-c**2)\n",
    "    return b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "def InitialDataEqualMassConic(radius,ecc,angle,initmass):\n",
    "    orbitalangle=angle\n",
    "    print(\"angle\",angle)\n",
    "    phi=np.array([math.pi+orbitalangle,orbitalangle])\n",
    "    orbitalradius=radius #semimajor axis\n",
    "    eccentricity=ecc\n",
    "    print(eccentricity)\n",
    "    mass=np.ones(2)\n",
    "    masses=initmass*mass #*masssun (natural units)\n",
    "    return phi,orbitalangle,orbitalradius,eccentricity, masses\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "angle 0.5235987755982988\n",
      "0.9\n",
      "(array([3.66519143, 0.52359878]), 0.5235987755982988, 50.0, 0.9, array([1., 1.]))\n"
     ]
    }
   ],
   "source": [
    "import random,numpy as np\n",
    "rad0=50.\n",
    "ecc0=0.9\n",
    "theta0=math.pi/6. #math.pi/6.\n",
    "mass0=1.0\n",
    "initdateqellipse=InitialDataEqualMassConic(rad0,ecc0,theta0,mass0)\n",
    "print(initdateqellipse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def getxyuveqtwoellipses(initdat):\n",
    "    phi,orbitangle,orbitalradius,eccentricity, masses=initdat\n",
    "    print(\"initdat\", orbitalradius, phi, eccentricity, np.cos(phi), np.sin(phi))\n",
    "    metersperAU=1\n",
    "    Gconstant=1\n",
    "    #fix x0 y0 at one star, disregard initial data, use orbital radius as separation between stars\n",
    "    #this is consistant with choice in previous part\n",
    "    cosphi=np.cos(phi)\n",
    "    sinphi=np.sin(phi)\n",
    "    coordsep=orbitalradius #/2.\n",
    "    print(\"coordsep\",coordsep)\n",
    "    #x0=orbitalradius/2.*np.cos(phi)*metersperAU\n",
    "    #y0=orbitalradius/2.*np.sin(phi)*metersperAU\n",
    "    count=0\n",
    "    for phi0 in phi:\n",
    "        if phi0==0:\n",
    "            print(\"zero\")\n",
    "            #x0[count]=orbitalradius[count]/2.\n",
    "            #y0[count]=0\n",
    "            cosphi[count]=1.0\n",
    "            sinphi[count]=0.0\n",
    "        if phi0==math.pi:\n",
    "            cosphi[count]=-1.0\n",
    "            sinphi[count]=0.0\n",
    "            print(\"pi\")\n",
    "            #x0[count]=-orbitalradius[count]/2.\n",
    "            #y0[count]=0\n",
    "        if phi0==math.pi/2.:\n",
    "            cosphi[count]=0.0\n",
    "            sinphi[count]=1.0\n",
    "            #x0[count]=0\n",
    "            #y0[count]=orbitalradius[count]/2.\n",
    "        if phi0==3*math.pi/2.:\n",
    "            cosphi[count]=0.0\n",
    "            sinphi[count]=-1.0\n",
    "            #x0[count]=0\n",
    "            #y0[count]=-orbitalradius[count]/2.\n",
    "        count+=1\n",
    "    x0=coordsep*cosphi\n",
    "    y0=coordsep*sinphi\n",
    "    #x0[1]=0.0\n",
    "    #y0[1]=0.0\n",
    "    z0=np.zeros(2)\n",
    "    print(x0)\n",
    "    print(y0)\n",
    "    v=np.zeros(2)\n",
    "    a=np.zeros(2)\n",
    "    ux0=0.\n",
    "    uy0=0.\n",
    "    uz0=0.\n",
    "    ax0=0.\n",
    "    ay0=0.\n",
    "    az0=0.\n",
    "    vx0=0.\n",
    "    vy0=0.\n",
    "    vz0=0.\n",
    "    print(eccentricity)\n",
    "    #masses=np.zeros(2)\n",
    "    #masses[0]=masses[1]+masses[0]\n",
    "    #masses[1]=(masses[1]*masses[0])/(masses[1]+masses[0])\n",
    "    if eccentricity<1 and eccentricity>0:\n",
    "        #elliptical\n",
    "        orbitalr=orbitalradius #NO REDUCED MASS \n",
    "        #focusdisp=getfocus(orbitalr,eccentricity) #displacement of the center due to the focus being at the center\n",
    "        coordsep=orbitalr*(1+eccentricity) #start at aphelion\n",
    "        x0=(coordsep)*cosphi\n",
    "        y0=(coordsep)*sinphi\n",
    "        starsep=np.sqrt((x0[0]-x0[1])**2+(y0[0]-y0[1])**2) #two stars, at opposite ends of the orbit\n",
    "        Fapastron=masses[1]*masses[0]/starsep**2\n",
    "        #print('xycomp',coordsep,focusdisp,x0,y0)\n",
    "        #x0[0]=0.0\n",
    "        #y0[0]=0.0\n",
    "        v=np.zeros(2)\n",
    "        #v= np.sqrt(masses[1]*masses[0]/masses*(2./starsep-1./(2*orbitalr)))\n",
    "        vapsq=masses[1]*masses[0]/masses/orbitalr*(1-eccentricity)/(1+eccentricity)/4.\n",
    "        #vapsq=masses[1]*masses[0]/masses*(1./(coordsep)-1./orbitalr)/2.\n",
    "        v=np.sqrt(vapsq)\n",
    "        #v= np.sqrt(masses[1]*masses[0]/masses*(1./orbitalr-2./starsep))\n",
    "        ux0=-v*sinphi\n",
    "        uy0=v*cosphi #initial data in y only \n",
    "        uz0=np.zeros(2)\n",
    "    \n",
    "        print(\"vstuff\", coordsep,orbitalr, 2./coordsep, 1./orbitalr, (2./starsep-1./(2.*orbitalr)), 1./(coordsep))\n",
    "        \n",
    "        a=np.zeros(2)\n",
    "        a=Fapastron/masses\n",
    "    \n",
    "        ax0=-a*cosphi\n",
    "        ay0=-a*sinphi\n",
    "        az0=np.zeros(2)\n",
    "    elif eccentricity[0]==0.0: #circular\n",
    "        #start at perihelion for both (eliptical, doesn't generalize to three body)\n",
    "        #actually start with circular orbit\n",
    "        ux0=np.zeros(2) #*149597870700\n",
    "        #centrepital force balances gravitational force\n",
    "        metersperAU=1 #natural units\n",
    "        #G=1\n",
    "        Gconstant=1\n",
    "        #Fcentripital=mass1*v**2/rphys\n",
    "        #centF=accel\n",
    "        #Faccel=G*m1*m2/r^2\n",
    "        r0=2.*orbitalradius #Mystery factor of 2\n",
    "        print(\"r0\", r0)\n",
    "        v=np.zeros(2)\n",
    "        for i in np.arange(2):\n",
    "            v[i]=np.sqrt(Gconstant*masses[(i+1)%2]/np.abs(r0[i]))\n",
    "        print(v)\n",
    "        #r0=orbitalradius #np.sqrt(x0**2+y0**2)\n",
    "        ux0=-v[0]*sinphi\n",
    "        uy0=v[1]*cosphi #initial data in y only \n",
    "        uz0=np.zeros(2)\n",
    "    \n",
    "        a=np.zeros(2)\n",
    "        a=Fapastron/masses\n",
    "    \n",
    "        ax0=-a[0]*cosphi\n",
    "        ay0=-a[1]*sinphi\n",
    "        az0=np.zeros(2)\n",
    "\n",
    "    statevec=[]\n",
    "    avec=[]\n",
    "    for i in np.arange(len(x0)):\n",
    "        stateveci=np.array([x0[i],y0[i],z0[i],ux0[i],uy0[i],uz0[i]])\n",
    "        aveci=np.array([ax0[i],ay0[i],az0[i]])\n",
    "        statevec.append(stateveci)\n",
    "        avec.append(aveci)\n",
    "    statevecnp=np.array(statevec)\n",
    "    avecnp=np.array(avec)\n",
    "    return masses, statevecnp,avecnp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "initdat 50.0 [3.66519143 0.52359878] 0.9 [-0.8660254  0.8660254] [-0.5  0.5]\n",
      "coordsep 50.0\n",
      "[-43.30127019  43.30127019]\n",
      "[-25.  25.]\n",
      "0.9\n",
      "vstuff 95.0 50.0 0.021052631578947368 0.02 0.000526315789473682 0.010526315789473684\n",
      "(array([1., 1.]), array([[-8.22724134e+01, -4.75000000e+01,  0.00000000e+00,\n",
      "         8.11107106e-03, -1.40487872e-02,  0.00000000e+00],\n",
      "       [ 8.22724134e+01,  4.75000000e+01,  0.00000000e+00,\n",
      "        -8.11107106e-03,  1.40487872e-02,  0.00000000e+00]]), array([[ 2.39896234e-05,  1.38504155e-05,  0.00000000e+00],\n",
      "       [-2.39896234e-05, -1.38504155e-05,  0.00000000e+00]]))\n"
     ]
    }
   ],
   "source": [
    "xyuvaeqellipse=getxyuveqtwoellipses(initdateqellipse)\n",
    "print(xyuvaeqellipse)\n",
    "masses,xvec,avec=xyuvaeqellipse"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def RK4implicit(h,t,xvec,f): #not a finite difference so no step in y\n",
    "    k1= h*f(t,xvec)\n",
    "    k2=h*f(t+h/2, xvec+k1/2)\n",
    "    k3=h*f(t+h/2,xvec+k2/2)\n",
    "    k4=h*f(t+h,xvec+k3)\n",
    "    return t+h, xvec+1/6.*(k1+2.*k2+2.*k3+k4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "class OrbitDiffEqOld:\n",
    "    def __init__(self,masses,xvec,avec,t0):\n",
    "        self.masses=masses\n",
    "        self.xvec=xvec\n",
    "        self.ti=t0\n",
    "        self.avec=avec\n",
    "    def dxidt(self,t,xvec):\n",
    "        return xvec[:,3].transpose()\n",
    "    def dyidt(self,t,xvec):\n",
    "        return xvec[:,4].transpose()\n",
    "    def dzidt(self,t,xvec):\n",
    "        return xvec[:,5].transpose()\n",
    "    def dvxidt(self,t,xvec):\n",
    "        #return axi[m]\n",
    "        axii=np.zeros(len(xvec[:,0]))\n",
    "        rii=np.sqrt(xvec[:,0]**2+xvec[:,1]**2+xvec[:,2]**2)\n",
    "        Gconstant=1 #6.408*10**-11\n",
    "        for k in np.arange(len(rii)):\n",
    "            for j in np.arange(len(rii)):\n",
    "                if j!=k:\n",
    "                    #print(j,k,xvec[j,0],xvec[k,0],xvec[j,0]-xvec[k,0])\n",
    "                    rreljk=np.abs((xvec[j,0] - xvec[k,0])**2+(xvec[j,1]-xvec[k,1])**2+(xvec[j,2]-xvec[k,2])**2)**(1./2.)\n",
    "                    axii[j]-=Gconstant*self.masses[k]*(xvec[j,0]  - xvec[k,0])/rreljk**3\n",
    "        return axii\n",
    "    def dvyidt(self,t,xvec):\n",
    "        #return axi[m]\n",
    "        ayii=np.zeros(len(xvec[:,0]))\n",
    "        rii=np.sqrt(xvec[:,0]**2+xvec[:,1]**2+xvec[:,2]**2)\n",
    "        Gconstant=1 #6.408*10**-11\n",
    "        for k in np.arange(len(rii)):\n",
    "            for j in np.arange(len(rii)):\n",
    "                if j!=k:\n",
    "                    rreljk=np.abs((xvec[j,0] - xvec[k,0])**2+(xvec[j,1]-xvec[k,1])**2+(xvec[j,2]-xvec[k,2])**2)**(1./2.)\n",
    "                    ayii[j]-=Gconstant*self.masses[k]*(xvec[j,1]  - xvec[k,1])/rreljk**3\n",
    "        return ayii\n",
    "    def dvzidt(self,t,xvec):\n",
    "        #return axi[m]\n",
    "        azii=np.zeros(len(xvec[:,0]))\n",
    "        rii=np.sqrt(xvec[:,0]**2+xvec[:,1]**2+xvec[:,2]**2)\n",
    "        Gconstant=1 #6.408*10**-11\n",
    "        for k in np.arange(len(rii)):\n",
    "            for j in np.arange(len(rii)):\n",
    "                if j!=k:\n",
    "                    rreljk=np.abs((xvec[j,0] - xvec[k,0])**2+(xvec[j,1]-xvec[k,1])**2+(xvec[j,2]-xvec[k,2])**2)**(1./2.)\n",
    "                    azii[j]-=Gconstant*self.masses[k]*(xvec[j,2]  - xvec[k,2])/rreljk**3\n",
    "        return azii\n",
    "    \n",
    "    def dvecdt(self,t,xvec):\n",
    "        avec=np.array([self.dvxidt(self,xvec),self.dvyidt(self,xvec),self.dvzidt(self,xvec)])\n",
    "        print(\"avec\", avec)\n",
    "        avecT=avec.transpose()\n",
    "        self.avec=avecT\n",
    "        dvec2=np.array([self.dxidt(t,xvec),self.dyidt(t,xvec),self.dzidt(self,xvec),avec[0,:],avec[1,:],avec[2,:]])\n",
    "                       \n",
    "        dvec2T=dvec2.transpose()\n",
    "        return dvec2T\n",
    "    def updateINTERNAL(self,xvecii,tii):\n",
    "        self.xvec=xvecii\n",
    "        self.ti=tii\n",
    "        return self\n",
    "    def update(self,xvecii,avecii,tii):\n",
    "        self.xvec=xvecii\n",
    "        self.avec=avecii,\n",
    "        self.ti=tii\n",
    "    def print2D(self):\n",
    "        print(self.masses,self.xvec,self.ti)\n",
    "        return self\n",
    "    def list2D(self):\n",
    "        return self.masses,self.xvec,self.avec,self.ti\n",
    "    def timestepRK4ODE(self,step,dt):\n",
    "\n",
    "    \n",
    "        h=dt\n",
    "        #tnew,ynew, intval=RK4(h,t,y,f)\n",
    "        #m represents choices of mass\n",
    "        i=step\n",
    "        \n",
    "        tnew,intvalxvec=RK4implicit(h,self.ti,self.xvec,self.dvecdt)\n",
    "        #xii = intvalx\n",
    "        #tnew,intvalvx=RK4implicit(h,self.ti,self.vxi,self.dvxidt)\n",
    "        #vxii=intvalvx\n",
    "        #tnew,intvaly=RK4implicit(h,self.ti,self.yi,self.dyidt)\n",
    "        #yii = intvaly\n",
    "        #tnew,intvalvy=RK4implicit(h,self.ti,self.vyi,self.dvyidt)\n",
    "        #vyii=intvalvy\n",
    "        #tnew,intvalz=RK4implicit(h,self.ti,self.zi,self.dzidt)\n",
    "        #zii = intvalz\n",
    "        #tnew,intvalvz=RK4implicit(h,self.ti,self.vzi,self.dvzidt)\n",
    "        #vzii=intvalvz\n",
    "        #axii=self.dvxidt(self.ti,np.zeros(np.shape(self.xi)))\n",
    "        #ayii=self.dvyidt(self.ti,np.zeros(np.shape(self.yi)))\n",
    "        #azii=self.dvzidt(self.ti,np.zeros(np.shape(self.zi)))\n",
    " \n",
    "        #print(xii)\n",
    "        self.updateINTERNAL(intvalxvec,tnew)\n",
    "        return self.masses, self.xvec,self.avec,self.ti"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "class OrbitDiffEq:\n",
    "    def __init__(self,masses,xvec,avec,t0):\n",
    "        self.masses=masses\n",
    "        self.xvec=xvec\n",
    "        self.ti=t0\n",
    "        self.avec=avec\n",
    "    def dxidt(self,t,xvec):\n",
    "        return xvec[:,3].transpose()\n",
    "    def dyidt(self,t,xvec):\n",
    "        return xvec[:,4].transpose()\n",
    "    def dzidt(self,t,xvec):\n",
    "        return xvec[:,5].transpose()\n",
    "    def dvxidt(self,t,xvec):\n",
    "        #return axi[m]\n",
    "        axii=np.zeros(len(xvec[:,0]))\n",
    "        #rii=np.sqrt(np.sum(xvec[:,0:3])**2)\n",
    "        Gconstant=1 #6.408*10**-11\n",
    "        for k in np.arange(len(xvec[:,0])):\n",
    "            for j in np.arange(len(xvec[:,0])):\n",
    "                if j!=k:\n",
    "                    vecshift=xvec[j,:]-xvec[k,:]\n",
    "                    #print(j,k,xvec[j,0],xvec[k,0],xvec[j,0]-xvec[k,0])\n",
    "                    rreljk=np.sqrt(np.sum(vecshift[0:3]**2))\n",
    "                    axii[j]-=Gconstant*self.masses[k]*(vecshift[0])/rreljk**3\n",
    "        return axii\n",
    "    def dvyidt(self,t,xvec):\n",
    "        #return axi[m]\n",
    "        ayii=np.zeros(len(xvec[:,0]))\n",
    "        #rii=np.sqrt(np.sum(xvec[:,0:3]**2))\n",
    "        Gconstant=1 #6.408*10**-11\n",
    "        for k in np.arange(len(xvec[:,1])):\n",
    "            for j in np.arange(len(xvec[:,1])):\n",
    "                if j!=k:\n",
    "                    vecshift=xvec[j,:]-xvec[k,:]\n",
    "                    rreljk=np.sqrt(np.sum(vecshift[0:3]**2))\n",
    "                    ayii[j]-=Gconstant*self.masses[k]*(vecshift[1])/rreljk**3\n",
    "        return ayii\n",
    "    def dvzidt(self,t,xvec):\n",
    "        #return axi[m]\n",
    "        azii=np.zeros(len(xvec[:,0]))\n",
    "        #rii=np.sqrt(np.squm(xvec[:,0:3]**2))\n",
    "        Gconstant=1 #6.408*10**-11\n",
    "        for k in np.arange(len(xvec[:,1])):\n",
    "            for j in np.arange(len(xvec[:,1])):\n",
    "                if j!=k:\n",
    "                    vecshift=xvec[j,:]-xvec[k,:]\n",
    "                    rreljk=np.sqrt(np.sum(vecshift[0:3]**2))\n",
    "                    azii[j]-=Gconstant*self.masses[k]*(vecshift[2])/rreljk**3\n",
    "        return azii\n",
    "    \n",
    "    def dvecdt(self,t,xvec):\n",
    "        avec=np.array([self.dvxidt(self,xvec),self.dvyidt(self,xvec),self.dvzidt(self,xvec)])\n",
    "        #print(\"avec\", avec)\n",
    "        avecT=avec.transpose()\n",
    "        self.avec=avecT\n",
    "        dvec2=np.array([self.dxidt(t,xvec),self.dyidt(t,xvec),self.dzidt(self,xvec),avec[0,:],avec[1,:],avec[2,:]])\n",
    "                       \n",
    "        dvec2T=dvec2.transpose()\n",
    "        return dvec2T\n",
    "    def updateINTERNAL(self,xvecii,tii):\n",
    "        self.xvec=xvecii\n",
    "        self.ti=tii\n",
    "        return self\n",
    "    def update(self,xvecii,avecii,tii):\n",
    "        self.xvec=xvecii\n",
    "        self.avec=avecii,\n",
    "        self.ti=tii\n",
    "    def print2D(self):\n",
    "        print(self.masses,self.xvec,self.ti)\n",
    "        return self\n",
    "    def list2D(self):\n",
    "        return self.masses,self.xvec,self.avec,self.ti\n",
    "    def timestepRK4ODE(self,step,dt):\n",
    "\n",
    "    \n",
    "        h=dt\n",
    "        #tnew,ynew, intval=RK4(h,t,y,f)\n",
    "        #m represents choices of mass\n",
    "        i=step\n",
    "        \n",
    "        tnew,intvalxvec=RK4implicit(h,self.ti,self.xvec,self.dvecdt)\n",
    "\n",
    " \n",
    "        #print(xii)\n",
    "        self.updateINTERNAL(intvalxvec,tnew)\n",
    "        return self.masses, self.xvec,self.avec,self.ti"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1. 1.] [[-8.22724134e+01 -4.75000000e+01  0.00000000e+00  8.11107106e-03\n",
      "  -1.40487872e-02  0.00000000e+00]\n",
      " [ 8.22724134e+01  4.75000000e+01  0.00000000e+00 -8.11107106e-03\n",
      "   1.40487872e-02  0.00000000e+00]] 0.0\n",
      "[1. 1.] [[-8.22724134e+01 -4.75000000e+01  0.00000000e+00  8.11107106e-03\n",
      "  -1.40487872e-02  0.00000000e+00]\n",
      " [ 8.22724134e+01  4.75000000e+01  0.00000000e+00 -8.11107106e-03\n",
      "   1.40487872e-02  0.00000000e+00]] 0.0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<__main__.OrbitDiffEq at 0x109eefc90>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "masses, xvec,avec=xyuvaeqellipse\n",
    "ODEeq= OrbitDiffEq(masses,xvec,avec,0.0)\n",
    "ODEeq.print2D()\n",
    "ODEeq.print2D()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1. 1.] [[-8.22724134e+01 -4.75000000e+01  0.00000000e+00  8.11107106e-03\n",
      "  -1.40487872e-02  0.00000000e+00]\n",
      " [ 8.22724134e+01  4.75000000e+01  0.00000000e+00 -8.11107106e-03\n",
      "   1.40487872e-02  0.00000000e+00]] 0.0\n",
      "[1. 1.] [[-8.22642903e+01 -4.75140419e+01  0.00000000e+00  8.13505950e-03\n",
      "  -1.40349347e-02  0.00000000e+00]\n",
      " [ 8.22642903e+01  4.75140419e+01  0.00000000e+00 -8.13505950e-03\n",
      "   1.40349347e-02  0.00000000e+00]] 1.0\n",
      "[1. 1.] [[-8.22561432e+01 -4.75280699e+01  0.00000000e+00  8.15904559e-03\n",
      "  -1.40210781e-02  0.00000000e+00]\n",
      " [ 8.22561432e+01  4.75280699e+01  0.00000000e+00 -8.15904559e-03\n",
      "   1.40210781e-02  0.00000000e+00]] 2.0\n",
      "[1. 1.] [[-8.22479722e+01 -4.75420840e+01  0.00000000e+00  8.18302934e-03\n",
      "  -1.40072175e-02  0.00000000e+00]\n",
      " [ 8.22479722e+01  4.75420840e+01  0.00000000e+00 -8.18302934e-03\n",
      "   1.40072175e-02  0.00000000e+00]] 3.0\n",
      "[1. 1.] [[-8.22397772e+01 -4.75560843e+01  0.00000000e+00  8.20701076e-03\n",
      "  -1.39933527e-02  0.00000000e+00]\n",
      " [ 8.22397772e+01  4.75560843e+01  0.00000000e+00 -8.20701076e-03\n",
      "   1.39933527e-02  0.00000000e+00]] 4.0\n",
      "[1. 1.] [[-8.22315582e+01 -4.75700707e+01  0.00000000e+00  8.23098986e-03\n",
      "  -1.39794837e-02  0.00000000e+00]\n",
      " [ 8.22315582e+01  4.75700707e+01  0.00000000e+00 -8.23098986e-03\n",
      "   1.39794837e-02  0.00000000e+00]] 5.0\n",
      "[1. 1.] [[-8.22233152e+01 -4.75840433e+01  0.00000000e+00  8.25496665e-03\n",
      "  -1.39656107e-02  0.00000000e+00]\n",
      " [ 8.22233152e+01  4.75840433e+01  0.00000000e+00 -8.25496665e-03\n",
      "   1.39656107e-02  0.00000000e+00]] 6.0\n",
      "[1. 1.] [[-8.22150483e+01 -4.75980019e+01  0.00000000e+00  8.27894115e-03\n",
      "  -1.39517335e-02  0.00000000e+00]\n",
      " [ 8.22150483e+01  4.75980019e+01  0.00000000e+00 -8.27894115e-03\n",
      "   1.39517335e-02  0.00000000e+00]] 7.0\n",
      "[1. 1.] [[-8.22067573e+01 -4.76119467e+01  0.00000000e+00  8.30291337e-03\n",
      "  -1.39378522e-02  0.00000000e+00]\n",
      " [ 8.22067573e+01  4.76119467e+01  0.00000000e+00 -8.30291337e-03\n",
      "   1.39378522e-02  0.00000000e+00]] 8.0\n",
      "[1. 1.] [[-8.21984424e+01 -4.76258776e+01  0.00000000e+00  8.32688332e-03\n",
      "  -1.39239667e-02  0.00000000e+00]\n",
      " [ 8.21984424e+01  4.76258776e+01  0.00000000e+00 -8.32688332e-03\n",
      "   1.39239667e-02  0.00000000e+00]] 9.0\n"
     ]
    }
   ],
   "source": [
    "dt=1 #natural units #*31556926 #seconds per year\n",
    "numsteps=6000\n",
    "masses,xvec0,avec0=xyuvaeqellipse\n",
    "ODEeq= OrbitDiffEq(masses,xvec0,avec0,0.0)\n",
    "ODEeq.print2D()\n",
    "t=0.0\n",
    "star1x=[]\n",
    "star2x=[]\n",
    "star1a=[]\n",
    "star2a=[]\n",
    "times=[]\n",
    "for i in np.arange(1,numsteps):\n",
    "    masses,xvec,avec,t=ODEeq.timestepRK4ODE(i,dt)\n",
    "    if i<10:\n",
    "        ODEeq.print2D()\n",
    "    star1x.append(xvec[0])\n",
    "    star2x.append(xvec[1])\n",
    "    star1a.append(avec[0])\n",
    "    star2a.append(avec[1])\n",
    "    times.append(t)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "npstar2x=np.array(star2x)\n",
    "npstar1x=np.array(star1x)\n",
    "npstar2a=np.array(star2a)\n",
    "npstar1a=np.array(star1a)\n",
    "nptimes=np.array(times)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <div class=\"bk-root\">\n",
       "        <a href=\"https://bokeh.pydata.org\" target=\"_blank\" class=\"bk-logo bk-logo-small bk-logo-notebook\"></a>\n",
       "        <span id=\"1001\">Loading BokehJS ...</span>\n",
       "    </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "(function(root) {\n",
       "  function now() {\n",
       "    return new Date();\n",
       "  }\n",
       "\n",
       "  var force = true;\n",
       "\n",
       "  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n",
       "    root._bokeh_onload_callbacks = [];\n",
       "    root._bokeh_is_loading = undefined;\n",
       "  }\n",
       "\n",
       "  var JS_MIME_TYPE = 'application/javascript';\n",
       "  var HTML_MIME_TYPE = 'text/html';\n",
       "  var EXEC_MIME_TYPE = 'application/vnd.bokehjs_exec.v0+json';\n",
       "  var CLASS_NAME = 'output_bokeh rendered_html';\n",
       "\n",
       "  /**\n",
       "   * Render data to the DOM node\n",
       "   */\n",
       "  function render(props, node) {\n",
       "    var script = document.createElement(\"script\");\n",
       "    node.appendChild(script);\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when an output is cleared or removed\n",
       "   */\n",
       "  function handleClearOutput(event, handle) {\n",
       "    var cell = handle.cell;\n",
       "\n",
       "    var id = cell.output_area._bokeh_element_id;\n",
       "    var server_id = cell.output_area._bokeh_server_id;\n",
       "    // Clean up Bokeh references\n",
       "    if (id != null && id in Bokeh.index) {\n",
       "      Bokeh.index[id].model.document.clear();\n",
       "      delete Bokeh.index[id];\n",
       "    }\n",
       "\n",
       "    if (server_id !== undefined) {\n",
       "      // Clean up Bokeh references\n",
       "      var cmd = \"from bokeh.io.state import curstate; print(curstate().uuid_to_server['\" + server_id + \"'].get_sessions()[0].document.roots[0]._id)\";\n",
       "      cell.notebook.kernel.execute(cmd, {\n",
       "        iopub: {\n",
       "          output: function(msg) {\n",
       "            var id = msg.content.text.trim();\n",
       "            if (id in Bokeh.index) {\n",
       "              Bokeh.index[id].model.document.clear();\n",
       "              delete Bokeh.index[id];\n",
       "            }\n",
       "          }\n",
       "        }\n",
       "      });\n",
       "      // Destroy server and session\n",
       "      var cmd = \"import bokeh.io.notebook as ion; ion.destroy_server('\" + server_id + \"')\";\n",
       "      cell.notebook.kernel.execute(cmd);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when a new output is added\n",
       "   */\n",
       "  function handleAddOutput(event, handle) {\n",
       "    var output_area = handle.output_area;\n",
       "    var output = handle.output;\n",
       "\n",
       "    // limit handleAddOutput to display_data with EXEC_MIME_TYPE content only\n",
       "    if ((output.output_type != \"display_data\") || (!output.data.hasOwnProperty(EXEC_MIME_TYPE))) {\n",
       "      return\n",
       "    }\n",
       "\n",
       "    var toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n",
       "\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"id\"] !== undefined) {\n",
       "      toinsert[toinsert.length - 1].firstChild.textContent = output.data[JS_MIME_TYPE];\n",
       "      // store reference to embed id on output_area\n",
       "      output_area._bokeh_element_id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n",
       "    }\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n",
       "      var bk_div = document.createElement(\"div\");\n",
       "      bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n",
       "      var script_attrs = bk_div.children[0].attributes;\n",
       "      for (var i = 0; i < script_attrs.length; i++) {\n",
       "        toinsert[toinsert.length - 1].firstChild.setAttribute(script_attrs[i].name, script_attrs[i].value);\n",
       "      }\n",
       "      // store reference to server id on output_area\n",
       "      output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function register_renderer(events, OutputArea) {\n",
       "\n",
       "    function append_mime(data, metadata, element) {\n",
       "      // create a DOM node to render to\n",
       "      var toinsert = this.create_output_subarea(\n",
       "        metadata,\n",
       "        CLASS_NAME,\n",
       "        EXEC_MIME_TYPE\n",
       "      );\n",
       "      this.keyboard_manager.register_events(toinsert);\n",
       "      // Render to node\n",
       "      var props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n",
       "      render(props, toinsert[toinsert.length - 1]);\n",
       "      element.append(toinsert);\n",
       "      return toinsert\n",
       "    }\n",
       "\n",
       "    /* Handle when an output is cleared or removed */\n",
       "    events.on('clear_output.CodeCell', handleClearOutput);\n",
       "    events.on('delete.Cell', handleClearOutput);\n",
       "\n",
       "    /* Handle when a new output is added */\n",
       "    events.on('output_added.OutputArea', handleAddOutput);\n",
       "\n",
       "    /**\n",
       "     * Register the mime type and append_mime function with output_area\n",
       "     */\n",
       "    OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n",
       "      /* Is output safe? */\n",
       "      safe: true,\n",
       "      /* Index of renderer in `output_area.display_order` */\n",
       "      index: 0\n",
       "    });\n",
       "  }\n",
       "\n",
       "  // register the mime type if in Jupyter Notebook environment and previously unregistered\n",
       "  if (root.Jupyter !== undefined) {\n",
       "    var events = require('base/js/events');\n",
       "    var OutputArea = require('notebook/js/outputarea').OutputArea;\n",
       "\n",
       "    if (OutputArea.prototype.mime_types().indexOf(EXEC_MIME_TYPE) == -1) {\n",
       "      register_renderer(events, OutputArea);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  \n",
       "  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "    root._bokeh_timeout = Date.now() + 5000;\n",
       "    root._bokeh_failed_load = false;\n",
       "  }\n",
       "\n",
       "  var NB_LOAD_WARNING = {'data': {'text/html':\n",
       "     \"<div style='background-color: #fdd'>\\n\"+\n",
       "     \"<p>\\n\"+\n",
       "     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "     \"</p>\\n\"+\n",
       "     \"<ul>\\n\"+\n",
       "     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "     \"</ul>\\n\"+\n",
       "     \"<code>\\n\"+\n",
       "     \"from bokeh.resources import INLINE\\n\"+\n",
       "     \"output_notebook(resources=INLINE)\\n\"+\n",
       "     \"</code>\\n\"+\n",
       "     \"</div>\"}};\n",
       "\n",
       "  function display_loaded() {\n",
       "    var el = document.getElementById(\"1001\");\n",
       "    if (el != null) {\n",
       "      el.textContent = \"BokehJS is loading...\";\n",
       "    }\n",
       "    if (root.Bokeh !== undefined) {\n",
       "      if (el != null) {\n",
       "        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n",
       "      }\n",
       "    } else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(display_loaded, 100)\n",
       "    }\n",
       "  }\n",
       "\n",
       "\n",
       "  function run_callbacks() {\n",
       "    try {\n",
       "      root._bokeh_onload_callbacks.forEach(function(callback) {\n",
       "        if (callback != null)\n",
       "          callback();\n",
       "      });\n",
       "    } finally {\n",
       "      delete root._bokeh_onload_callbacks\n",
       "    }\n",
       "    console.debug(\"Bokeh: all callbacks have finished\");\n",
       "  }\n",
       "\n",
       "  function load_libs(css_urls, js_urls, callback) {\n",
       "    if (css_urls == null) css_urls = [];\n",
       "    if (js_urls == null) js_urls = [];\n",
       "\n",
       "    root._bokeh_onload_callbacks.push(callback);\n",
       "    if (root._bokeh_is_loading > 0) {\n",
       "      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "      return null;\n",
       "    }\n",
       "    if (js_urls == null || js_urls.length === 0) {\n",
       "      run_callbacks();\n",
       "      return null;\n",
       "    }\n",
       "    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "    root._bokeh_is_loading = css_urls.length + js_urls.length;\n",
       "\n",
       "    function on_load() {\n",
       "      root._bokeh_is_loading--;\n",
       "      if (root._bokeh_is_loading === 0) {\n",
       "        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n",
       "        run_callbacks()\n",
       "      }\n",
       "    }\n",
       "\n",
       "    function on_error() {\n",
       "      console.error(\"failed to load \" + url);\n",
       "    }\n",
       "\n",
       "    for (var i = 0; i < css_urls.length; i++) {\n",
       "      var url = css_urls[i];\n",
       "      const element = document.createElement(\"link\");\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error;\n",
       "      element.rel = \"stylesheet\";\n",
       "      element.type = \"text/css\";\n",
       "      element.href = url;\n",
       "      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n",
       "      document.body.appendChild(element);\n",
       "    }\n",
       "\n",
       "    for (var i = 0; i < js_urls.length; i++) {\n",
       "      var url = js_urls[i];\n",
       "      var element = document.createElement('script');\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error;\n",
       "      element.async = false;\n",
       "      element.src = url;\n",
       "      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "      document.head.appendChild(element);\n",
       "    }\n",
       "  };var element = document.getElementById(\"1001\");\n",
       "  if (element == null) {\n",
       "    console.error(\"Bokeh: ERROR: autoload.js configured with elementid '1001' but no matching script tag was found. \")\n",
       "    return false;\n",
       "  }\n",
       "\n",
       "  function inject_raw_css(css) {\n",
       "    const element = document.createElement(\"style\");\n",
       "    element.appendChild(document.createTextNode(css));\n",
       "    document.body.appendChild(element);\n",
       "  }\n",
       "\n",
       "  var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-1.3.4.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-1.3.4.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-tables-1.3.4.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-gl-1.3.4.min.js\"];\n",
       "  var css_urls = [];\n",
       "\n",
       "  var inline_js = [\n",
       "    function(Bokeh) {\n",
       "      Bokeh.set_log_level(\"info\");\n",
       "    },\n",
       "    \n",
       "    function(Bokeh) {\n",
       "      \n",
       "    },\n",
       "    function(Bokeh) {} // ensure no trailing comma for IE\n",
       "  ];\n",
       "\n",
       "  function run_inline_js() {\n",
       "    \n",
       "    if ((root.Bokeh !== undefined) || (force === true)) {\n",
       "      for (var i = 0; i < inline_js.length; i++) {\n",
       "        inline_js[i].call(root, root.Bokeh);\n",
       "      }if (force === true) {\n",
       "        display_loaded();\n",
       "      }} else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(run_inline_js, 100);\n",
       "    } else if (!root._bokeh_failed_load) {\n",
       "      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "      root._bokeh_failed_load = true;\n",
       "    } else if (force !== true) {\n",
       "      var cell = $(document.getElementById(\"1001\")).parents('.cell').data().cell;\n",
       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "    }\n",
       "\n",
       "  }\n",
       "\n",
       "  if (root._bokeh_is_loading === 0) {\n",
       "    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "    run_inline_js();\n",
       "  } else {\n",
       "    load_libs(css_urls, js_urls, function() {\n",
       "      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "      run_inline_js();\n",
       "    });\n",
       "  }\n",
       "}(window));"
      ],
      "application/vnd.bokehjs_load.v0+json": "\n(function(root) {\n  function now() {\n    return new Date();\n  }\n\n  var force = true;\n\n  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n    root._bokeh_onload_callbacks = [];\n    root._bokeh_is_loading = undefined;\n  }\n\n  \n\n  \n  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n    root._bokeh_timeout = Date.now() + 5000;\n    root._bokeh_failed_load = false;\n  }\n\n  var NB_LOAD_WARNING = {'data': {'text/html':\n     \"<div style='background-color: #fdd'>\\n\"+\n     \"<p>\\n\"+\n     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n     \"</p>\\n\"+\n     \"<ul>\\n\"+\n     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n     \"</ul>\\n\"+\n     \"<code>\\n\"+\n     \"from bokeh.resources import INLINE\\n\"+\n     \"output_notebook(resources=INLINE)\\n\"+\n     \"</code>\\n\"+\n     \"</div>\"}};\n\n  function display_loaded() {\n    var el = document.getElementById(\"1001\");\n    if (el != null) {\n      el.textContent = \"BokehJS is loading...\";\n    }\n    if (root.Bokeh !== undefined) {\n      if (el != null) {\n        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n      }\n    } else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(display_loaded, 100)\n    }\n  }\n\n\n  function run_callbacks() {\n    try {\n      root._bokeh_onload_callbacks.forEach(function(callback) {\n        if (callback != null)\n          callback();\n      });\n    } finally {\n      delete root._bokeh_onload_callbacks\n    }\n    console.debug(\"Bokeh: all callbacks have finished\");\n  }\n\n  function load_libs(css_urls, js_urls, callback) {\n    if (css_urls == null) css_urls = [];\n    if (js_urls == null) js_urls = [];\n\n    root._bokeh_onload_callbacks.push(callback);\n    if (root._bokeh_is_loading > 0) {\n      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n      return null;\n    }\n    if (js_urls == null || js_urls.length === 0) {\n      run_callbacks();\n      return null;\n    }\n    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n    root._bokeh_is_loading = css_urls.length + js_urls.length;\n\n    function on_load() {\n      root._bokeh_is_loading--;\n      if (root._bokeh_is_loading === 0) {\n        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n        run_callbacks()\n      }\n    }\n\n    function on_error() {\n      console.error(\"failed to load \" + url);\n    }\n\n    for (var i = 0; i < css_urls.length; i++) {\n      var url = css_urls[i];\n      const element = document.createElement(\"link\");\n      element.onload = on_load;\n      element.onerror = on_error;\n      element.rel = \"stylesheet\";\n      element.type = \"text/css\";\n      element.href = url;\n      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n      document.body.appendChild(element);\n    }\n\n    for (var i = 0; i < js_urls.length; i++) {\n      var url = js_urls[i];\n      var element = document.createElement('script');\n      element.onload = on_load;\n      element.onerror = on_error;\n      element.async = false;\n      element.src = url;\n      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      document.head.appendChild(element);\n    }\n  };var element = document.getElementById(\"1001\");\n  if (element == null) {\n    console.error(\"Bokeh: ERROR: autoload.js configured with elementid '1001' but no matching script tag was found. \")\n    return false;\n  }\n\n  function inject_raw_css(css) {\n    const element = document.createElement(\"style\");\n    element.appendChild(document.createTextNode(css));\n    document.body.appendChild(element);\n  }\n\n  var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-1.3.4.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-1.3.4.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-tables-1.3.4.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-gl-1.3.4.min.js\"];\n  var css_urls = [];\n\n  var inline_js = [\n    function(Bokeh) {\n      Bokeh.set_log_level(\"info\");\n    },\n    \n    function(Bokeh) {\n      \n    },\n    function(Bokeh) {} // ensure no trailing comma for IE\n  ];\n\n  function run_inline_js() {\n    \n    if ((root.Bokeh !== undefined) || (force === true)) {\n      for (var i = 0; i < inline_js.length; i++) {\n        inline_js[i].call(root, root.Bokeh);\n      }if (force === true) {\n        display_loaded();\n      }} else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(run_inline_js, 100);\n    } else if (!root._bokeh_failed_load) {\n      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n      root._bokeh_failed_load = true;\n    } else if (force !== true) {\n      var cell = $(document.getElementById(\"1001\")).parents('.cell').data().cell;\n      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n    }\n\n  }\n\n  if (root._bokeh_is_loading === 0) {\n    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n    run_inline_js();\n  } else {\n    load_libs(css_urls, js_urls, function() {\n      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n      run_inline_js();\n    });\n  }\n}(window));"
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     "text": [
      "0.9 50.0\n",
      "21.79449471770337\n",
      "45.0\n",
      "50.0 21.79449471770337 45.0 29.999999999999996\n"
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       "\n",
       "\n",
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\",\"dtype\":\"float64\",\"shape\":[5999]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[5999]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"shape\":[5999]}},\"selected\":{\"id\":\"1114\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"1115\",\"type\":\"UnionRenderers\"}},\"id\":\"1079\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"data_source\":{\"id\":\"1079\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"1080\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"1081\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"1083\",\"type\":\"CDSView\"}},\"id\":\"1082\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"1115\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"ticker\":{\"id\":\"1014\",\"type\":\"BasicTicker\"}},\"id\":\"1017\",\"type\":\"Grid\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1051\",\"type\":\"Line\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1081\",\"type\":\"Line\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"1023\",\"type\":\"PanTool\"},{\"id\":\"1024\",\"type\":\"WheelZoomTool\"},{\"id\":\"1025\",\"type\":\"BoxZoomTool\"},{\"id\":\"1026\",\"type\":\"SaveTool\"},{\"id\":\"1027\",\"type\":\"ResetTool\"},{\"id\":\"1028\",\"type\":\"HelpTool\"}]},\"id\":\"1029\",\"type\":\"Toolbar\"},{\"attributes\":{\"data_source\":{\"id\":\"1049\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"1050\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"1051\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"1053\",\"type\":\"CDSView\"}},\"id\":\"1052\",\"type\":\"GlyphRenderer\"}],\"root_ids\":[\"1002\"]},\"title\":\"Bokeh Application\",\"version\":\"1.3.4\"}};\n",
       "  var render_items = [{\"docid\":\"d4f48e26-5c75-4de9-bc90-4fe69c077ef2\",\"roots\":{\"1002\":\"26fb549c-9cb2-4868-b26a-32cf3db136ea\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        embed_document(root);\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "      attempts++;\n",
       "      if (attempts > 100) {\n",
       "        console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        clearInterval(timer);\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "1002"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from bokeh.io import output_notebook, show\n",
    "from bokeh.plotting import figure\n",
    "output_notebook()\n",
    "# create a new plot with default tools, using figure\n",
    "p = figure(title=\"Elliptical orbit, RK4\", plot_width=400, plot_height=400, x_range=(-200,200), y_range=(-200,200))\n",
    "t = np.linspace(0, 2*math.pi, 100)\n",
    "focus=getfocus(rad0,ecc0)\n",
    "b=getsemiminor(rad0,ecc0)\n",
    "print(ecc0,rad0)\n",
    "print(b)\n",
    "print(focus)\n",
    "#theta0=math.pi/6.\n",
    "xdim=rad0\n",
    "ydim=b\n",
    "xax=-200+np.arange(0,400)\n",
    "# add a circle renderer with x and y coordinates, size, color, and alpha\n",
    "#p.line(npstar1x[:,0],npstar1x[:,1], line_color=\"purple\", legend=\"Star 1\")\n",
    "#p.line(npstar2x[:,0],npstar2x[:,1], line_color=\"blue\", legend=\"Star 2\")\n",
    "p.line(focus*np.cos(theta0)+xdim*np.cos(t)*np.cos(theta0)-ydim*np.sin(t)*np.sin(theta0),focus*np.sin(theta0)+ydim*np.cos(theta0)*np.sin(t)+xdim*np.sin(theta0)*np.cos(t), line_color=\"cyan\", legend=\"Ideal ellipse 1\")\n",
    "p.line(-focus*np.cos(theta0)+xdim*np.cos(t)*np.cos(theta0)-ydim*np.sin(t)*np.sin(theta0),-focus*np.sin(theta0)+ydim*np.cos(theta0)*np.sin(t)+xdim*np.sin(theta0)*np.cos(t), line_color=\"black\", legend=\"Ideal ellipse 2\")\n",
    "p.line(npstar1x[:,0],npstar1x[:,1], line_color=\"purple\", legend=\"Star 1\")\n",
    "p.line(npstar2x[:,0],npstar2x[:,1], line_color=\"blue\", legend=\"Star 2\")\n",
    "p.line(xax, np.tan(theta0)*xax,line_color=\"green\")\n",
    "print(rad0, b, focus, theta0*180/math.pi)\n",
    "\n",
    "\n",
    "\n",
    "p.legend.location = \"bottom_left\"\n",
    "p.legend.click_policy=\"hide\"\n",
    "\n",
    "show(p) # show the"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "%%html\n",
    "<a href=\"https://github.com/sdorsher/ManyBodyProblem/blob/master/EllipseSymmetry.png\">Elliptical orbits at thirty degrees with symmetry line</a>\n",
    "It is clear that the elliptical orbits have focuses, perhelions, and aphelions on the axis of symmetry from this plot. It is also clear that the orbits are symmetric with respect to eachother."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5235987755982988\n"
     ]
    }
   ],
   "source": [
    "print(theta0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5235987755982988\n"
     ]
    }
   ],
   "source": [
    "print(math.pi/6.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "45.0 50.0 21.79449471770337 0.5235987755982988\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from matplotlib.patches import Ellipse\n",
    "\n",
    "focus=getfocus(rad0,ecc0)\n",
    "b=getsemiminor(rad0,ecc0)\n",
    "theta0deg=theta0*180/math.pi\n",
    "signs=[1,-1]\n",
    "ells = [Ellipse(xy=[focus*signi*np.cos(theta0),focus*signi*np.sin(theta0)],\n",
    "                width=2*rad0, height=2*b,\n",
    "                angle=theta0deg)\n",
    "                for signi in signs]\n",
    "                    \n",
    "\n",
    "fig, ax = plt.subplots(subplot_kw={'aspect': 'equal'})\n",
    "for e in ells:\n",
    "    ax.add_artist(e)\n",
    "    e.set_clip_box(ax.bbox)\n",
    "    e.set_alpha(0.5)\n",
    "    e.set_facecolor(np.random.rand(3))\n",
    "\n",
    "ax.set_xlim(-2*rad0,2*rad0)\n",
    "ax.set_ylim(-2*rad0, 2*rad0)\n",
    "\n",
    "print(focus, rad0,b,theta0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Output using built in ellipse function matches orbits too. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
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