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Last active May 4, 2017 18:05
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"<IPython.core.display.HTML object>"
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},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import HTML\n",
"\n",
"HTML('''<script>\n",
"code_show=true; \n",
"function code_toggle() {\n",
" if (code_show){\n",
" $('div.input').hide();\n",
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{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"/Users/bovy/anaconda/envs/py27/lib/python2.7/site-packages/matplotlib/__init__.py:878: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
" warnings.warn(self.msg_depr % (key, alt_key))\n",
"\n",
"galpyWarning: A major change in versions > 1.1 is that all galpy.potential functions and methods take the potential as the first argument; previously methods such as evaluatePotentials, evaluateDensities, etc. would be called with (R,z,Pot), now they are called as (Pot,R,z) for greater consistency across the codebase\n",
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"import os, os.path\n",
"import matplotlib\n",
"matplotlib.use('Agg')\n",
"import pickle\n",
"import numpy\n",
"from scipy import interpolate\n",
"import tqdm\n",
"from galpy.orbit import Orbit\n",
"from galpy import potential\n",
"from galpy.potential import MWPotential2014\n",
"from galpy.df import streamdf\n",
"from galpy.util import bovy_coords, bovy_plot, bovy_conversion, save_pickles\n",
"import seaborn as sns\n",
"ro, vo= 8., 220.\n",
"%pylab inline\n",
"import matplotlib.lines as mlines\n",
"import copy\n",
"save_figures= True\n",
"numpy.random.seed(1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# The orbit and possible stream of the Pyxis globular cluster"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The new data:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"distance_as_dm_with_larger_uncertainty= False\n",
"vxvv= [136.99,-37.2,39.4,1.09,0.68,35.7]\n",
"vxvv_err= [0.,0.,4.,0.31,0.29,3.0]\n",
"if distance_as_dm_with_larger_uncertainty:\n",
" vxvv[2]= 5.*numpy.log10(vxvv[2])+10.\n",
" vxvv_err[2]= 0.44\n",
"def dm_to_dist(vxvv):\n",
" vxvv= copy.deepcopy(vxvv)\n",
" if distance_as_dm_with_larger_uncertainty:\n",
" vxvv[2]= 10.**(vxvv[2]/5.-2.)\n",
" return vxvv"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Possible orbits for the Pyxis globular cluster in $\\texttt{MWPotential2014}$"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"galpyWarning: Using C implementation to integrate orbits\n"
]
}
],
"source": [
"numpy.random.seed(1)\n",
"times_forward= numpy.linspace(0.,3500.,2001)\n",
"times_backward= numpy.linspace(0.,3500.,2001)\n",
"orb= Orbit(vxvv,radec=True,solarmotion=[-11.1,24.,7.25])\n",
"orb.integrate(times_forward,MWPotential2014)\n",
"orbf= orb.flip()\n",
"orbf.integrate(times_backward,MWPotential2014)\n",
"orbf.flip(inplace=True)\n",
"# Determine the uncertainties in the orbital properties\n",
"nsamp= 1000\n",
"stuff= numpy.empty((9,nsamp))\n",
"stuff_labels= [\"R\",\"z\",\"vR\",\"vT\",\"vz\",\"v\",\"rperi\",\"rap\",\"e\"]\n",
"stuff_units= [\"kpc\",\"kpc\",\"km/s\",\"km/s\",\"km/s\",\"km/s\",\"kpc\",\"kpc\",\"\"]\n",
"for ii in range(nsamp):\n",
" tvxvv= dm_to_dist(numpy.array(vxvv)+numpy.random.normal(size=6)*numpy.array(vxvv_err))\n",
" torb= Orbit(tvxvv,radec=True,solarmotion=[-11.1,24.,7.25])\n",
" torb.integrate(times_forward,MWPotential2014)\n",
" stuff[0,ii]= torb.R()\n",
" stuff[1,ii]= torb.z()\n",
" stuff[2,ii]= torb.vR()\n",
" stuff[3,ii]= torb.vT()\n",
" stuff[4,ii]= torb.vz()\n",
" stuff[5,ii]= numpy.sqrt(torb.vx()**2.+torb.vy()**2.+torb.vz()**2.)\n",
" stuff[6,ii]= torb.rperi()\n",
" stuff[7,ii]= torb.rap()\n",
" stuff[8,ii]= torb.e()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some properties of the current location and the orbit:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"R = 41.09 +/- 3.65 kpc\n",
"z = 4.85 +/- 0.46 kpc\n",
"vR = -235.21 +/- 13.69 km/s\n",
"vT = 35.54 +/- 53.76 km/s\n",
"vz = 248.21 +/- 60.16 km/s\n",
"v = 346.88 +/- 48.34 km/s\n",
"rperi = 30.70 +/- 5.93 kpc\n",
"rap = 1563.59 +/- 2102.49 kpc\n",
"e = 0.96 +/- 0.05 \n"
]
}
],
"source": [
"for ii, (label, unit) in enumerate(zip(stuff_labels,stuff_units)):\n",
" print \"%s = %.2f +/- %.2f %s\" %\\\n",
" (label, numpy.nanmedian(stuff[ii]), 1.4826*numpy.nanmedian(numpy.fabs(stuff[ii]-numpy.nanmedian(stuff[ii]))),unit)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Including non-symmetric uncertainty ranges:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"R = 41.09 +3.79 -3.42 kpc\n",
"z = 4.85 +0.48 -0.43 kpc\n",
"vR = -235.21 +13.98 -14.61 km/s\n",
"vT = 35.54 +48.89 -62.38 km/s\n",
"vz = 248.21 +58.66 -59.70 km/s\n",
"v = 346.88 +51.46 -45.18 km/s\n",
"rperi = 30.70 +5.80 -6.26 kpc\n",
"rap = 1563.59 +21752.40 -1305.67 kpc\n",
"e = 0.96 +0.04 -0.14 \n"
]
}
],
"source": [
"for ii, (label, unit) in enumerate(zip(stuff_labels,stuff_units)):\n",
" ts= numpy.sort(stuff[ii])\n",
" print \"%s = %.2f +%.2f -%.2f %s\" %\\\n",
" (label, numpy.nanmedian(stuff[ii]),\n",
" ts[int(numpy.floor(0.84*len(ts)))]-numpy.nanmedian(stuff[ii]),\n",
" numpy.nanmedian(stuff[ii])-ts[int(numpy.floor(0.16*len(ts)))],\n",
" unit)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This velocity is close to the escape velocity in $\\texttt{MWPotential2014}$, here shown in the plane; this is also close to the escape velocity in the Kenyon et al. (2008) model often used for hypervelocity stars."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<Container object of 3 artists>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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jnn37r3IadwevG/cESWfnjq3cHcujAKPjiDPuQ7j7G2ZW1dN2kk1FdBHpidmz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\nJRAREUnI/we/4viuniKF4gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1171db9d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"potential.plotEscapecurve(MWPotential2014,Rrange=[0.,50.],ro=ro,vo=vo)\n",
"errorbar(numpy.median(numpy.sqrt(stuff[0]**2.+stuff[1]**2.)),\n",
" numpy.median(stuff[5]),\n",
" xerr=1.4826*numpy.median(numpy.fabs(stuff[0]-numpy.median(stuff[0]))),\n",
" yerr=1.4826*numpy.median(numpy.fabs(stuff[5]-numpy.median(stuff[5]))),\n",
" marker='o',color='k')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Suppose we vary the mass of the NFW potential in $\\texttt{MWPotential2014}$ and we assume that Pyxis is bound, what is the lower limit that we get on the mass of the halo? The following is the likelihood as a function of halo mass assuming simply that $|\\vec{V}_{\\mathrm{Pyxis}}(r_{\\mathrm{Pyxis}})| < V_{\\mathrm{esc}}(r_\\mathrm{Pyxis})$ for three assumed concentrations (solid: 15.3 like in $\\texttt{MWPotential2014}$, dashed: 6, dotted: 12):"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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376ZJkybMnTuX3bt3s2zZMrKzs0u8LicnhwEDBvDHH3/g4uLCsGHDqihiIaon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\nkVcYmIiIyCsMTERE5JX/A2DydLyCs6xKAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117af5110>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Mhs= numpy.linspace(0.1,2.,1001)\n",
"pMh= numpy.zeros((3,len(Mhs)))\n",
"for ii,mh in enumerate(Mhs):\n",
" for jj,c in enumerate([15.3,6,12.]):\n",
" pot= [potential.PowerSphericalPotentialwCutoff(normalize=0.05,alpha=1.8,rc=1.9/8.),\n",
" potential.MiyamotoNagaiPotential(a=3./8.,b=0.28/8.,normalize=0.6),\n",
" potential.NFWPotential(conc=c,mvir=mh,wrtcrit=True,overdens=96.7,ro=ro,vo=vo)]\n",
" pMh[jj,ii]= numpy.sum(stuff[5] < potential.vesc(pot,numpy.sqrt(stuff[0]**2.+stuff[1]**2.)/ro)*vo)\\\n",
" /float(len(stuff[0]))\n",
"bovy_plot.bovy_print(fig_width=6.,fig_height=4.,\n",
" axes_labelsize=18.,xtick_labelsize=14.,ytick_labelsize=14.)\n",
"bovy_plot.bovy_plot(Mhs,pMh[0],'k-',lw=2.,\n",
" xrange=[0.,2.],\n",
" yrange=[0.,1.1],\n",
" xlabel=r'$M_{\\mathrm{halo}}\\, (10^{12}\\,M_\\odot)$')\n",
"bovy_plot.bovy_plot(Mhs,pMh[1],'k--',lw=2.,overplot=True)\n",
"bovy_plot.bovy_plot(Mhs,pMh[2],'k:',lw=2.,overplot=True)\n",
"ip= interpolate.InterpolatedUnivariateSpline(pMh[0]+10.**-5.*Mhs,Mhs,k=1) # Add tiny to make sure they increase\n",
"bovy_plot.bovy_text(r'$M_{\\mathrm{halo}} > %.2f \\times 10^{12}\\,M_\\odot$'% (ip(0.32))\n",
" +'\\n'+r'$(68\\,\\%\\ \\mathrm{confidence})$',\n",
" size=18,bottom_right=True)\n",
"tight_layout()\n",
"if save_figures:\n",
" savefig('pyxis_MWmassPDF.pdf')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The constraint if we also require Pyxis to have already gone through at least one previous pericenter passage:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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q1Mm6QQlAnjEJIZ7Cjh07gP/1uEsRExND06ZNGTNmDHFxcezZs8cmV2E9fPgw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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119d3f450>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"savefilename= 'pMh_1peri.sav'\n",
"if os.path.exists(savefilename):\n",
" with open(savefilename,'rb') as savefile:\n",
" Mhs= pickle.load(savefile)\n",
" pMh= pickle.load(savefile)\n",
"else:\n",
" Mhs= numpy.linspace(0.1,2.,201)\n",
" pMh= numpy.zeros((3,len(Mhs)))\n",
" norb= 1000\n",
" times_mass= numpy.linspace(0.,13.8/bovy_conversion.time_in_Gyr(vo,ro),2001)\n",
" for ii,mh in tqdm.tqdm(enumerate(Mhs)):\n",
" for jj,c in enumerate([15.3,6,12.]):\n",
" pot= [potential.PowerSphericalPotentialwCutoff(normalize=0.05,alpha=1.8,rc=1.9/8.),\n",
" potential.MiyamotoNagaiPotential(a=3./8.,b=0.28/8.,normalize=0.6),\n",
" potential.NFWPotential(conc=c,mvir=mh,wrtcrit=True,overdens=96.7,ro=ro,vo=vo)]\n",
" # Integrate norb orbits and count the number of pericentric passages\n",
" nperi= numpy.empty(norb,dtype='int')\n",
" for kk in range(norb):\n",
" tvxvv= dm_to_dist(numpy.array(vxvv)+numpy.random.normal(size=6)*numpy.array(vxvv_err))\n",
" torb= Orbit(tvxvv,radec=True,solarmotion=[-11.1,24.,7.25]).flip()\n",
" torb.integrate(times_mass,pot)\n",
" tr= torb.r(times_mass)\n",
" nperi[kk]= numpy.sum((numpy.roll(tr,1) > tr)*(numpy.roll(tr,-1) > tr)\\\n",
" *(times_mass > 0.1/bovy_conversion.time_in_Gyr(vo,ro)))\n",
" pMh[jj,ii]= numpy.sum((stuff[5] < potential.vesc(pot,numpy.sqrt(stuff[0]**2.+stuff[1]**2.)/ro)*vo))\\\n",
" /float(len(stuff[0]))\\\n",
" *numpy.sum((nperi > 0))/float(norb)\n",
" save_pickles(savefilename,Mhs,pMh)\n",
"bovy_plot.bovy_print(fig_width=6.,fig_height=4.,\n",
" axes_labelsize=18.,xtick_labelsize=14.,ytick_labelsize=14.)\n",
"bovy_plot.bovy_plot(Mhs,pMh[0],'k-',lw=2.,\n",
" xrange=[0.,2.],\n",
" yrange=[0.,1.1],\n",
" xlabel=r'$M_{\\mathrm{halo}}\\, (10^{12}\\,M_\\odot)$')\n",
"bovy_plot.bovy_plot(Mhs,pMh[1],'k--',lw=2.,overplot=True)\n",
"bovy_plot.bovy_plot(Mhs,pMh[2],'k:',lw=2.,overplot=True)\n",
"ip= interpolate.UnivariateSpline(pMh[0]+10.**-5.*Mhs,Mhs,k=1,s=.5) # Add tiny to make sure they increase\n",
"bovy_plot.bovy_text(r'$M_{\\mathrm{halo}} > %.2f \\times 10^{12}\\,M_\\odot$'% (ip(0.32))\n",
" +'\\n'+r'$(68\\,\\%\\ \\mathrm{confidence})$',\n",
" size=18,bottom_right=True)\n",
"tight_layout()\n",
"if save_figures:\n",
" savefig('pyxis_MWmassPDF_1peri.pdf')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The orbit in (RA,Dec) and (RA,distance) [green is the past orbit, blue the future orbit]:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Integrate again, for a shorter time...\n",
"times_forward= numpy.linspace(0.,350.,2001)\n",
"times_backward= numpy.linspace(0.,350.,2001)\n",
"orb= Orbit(vxvv,radec=True,solarmotion=[-11.1,24.,7.25])\n",
"orb.integrate(times_forward,MWPotential2014)\n",
"orbf= orb.flip()\n",
"orbf.integrate(times_backward,MWPotential2014)\n",
"orbf.flip(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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sXMIuKjCC3w9/nJa+gby96WPWH95idiQhhIN6T+gz+mZOucKpuQBKqWzshfMG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\nMRt4WykVRwP7aQoh6ufThXs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+uDclbJj5+flxF6GyODblODZ9vSNpbdyF2Akz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\nAABJJMYAAACAJOn/AbQSBmXtEgWMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10462bed0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(10,4)\n",
"subplot(1,2,1)\n",
"orb.plot(d1='ra',d2='dec',overplot=True)\n",
"orbf.plot(d1='ra',d2='dec',overplot=True)\n",
"xlim(0.,200.)\n",
"ylim(-60.,20.)\n",
"xlabel(r'$\\mathrm{RA}\\,(\\mathrm{degree})$')\n",
"ylabel(r'$\\mathrm{Dec}\\,(\\mathrm{degree})$')\n",
"subplot(1,2,2)\n",
"orb.plot(d1='ra',d2='dist',overplot=True)\n",
"orbf.plot(d1='ra',d2='dist',overplot=True)\n",
"xlim(100.,200.)\n",
"ylim(20.,70.)\n",
"xlabel(r'$\\mathrm{RA}\\,(\\mathrm{degree})$')\n",
"ylabel(r'$\\mathrm{Distance}\\,(\\mathrm{kpc})$')\n",
"tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The past orbit in $(R,z)$, with uncertainty:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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CoiLUqSR/kyaxlE6nt3WYUNcJLcbkMUJdS2TmRqkXWsyonZsWFUojORyOA9e8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\ntgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x118042b10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(8,4)\n",
"orbf.plot(d1=\"R\",d2=\"z\",color='k',zorder=1,\n",
" xrange=[0.,450.],yrange=[-450.,450.])\n",
"nsamp= 30\n",
"alpha=0.5\n",
"for ii in range(nsamp):\n",
" tvxvv= dm_to_dist(numpy.array(vxvv)+numpy.random.normal(size=6)*numpy.array(vxvv_err))\n",
" torb= Orbit(tvxvv,radec=True,solarmotion=[-11.1,24.,7.25]).flip()\n",
" torb.integrate(times_forward,MWPotential2014)\n",
" torb.flip(inplace=True)\n",
" torb.plot(d1=\"R\",d2=\"z\",color='0.5',zorder=0,alpha=alpha,\n",
" overplot=True)\n",
"tight_layout()\n",
"if save_figures:\n",
" savefig('pyxis_orbit_rz.pdf')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The past orbit in time vs. spherical radius"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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16vW6Nt+lXq9rYxN0Oh3ZbJZms0koFCKTydBqtTaM1iSTSZaXl1EU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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117dde0d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(8,4)\n",
"orbf.plot(d1=\"t\",d2=\"r\",color='k',zorder=1,\n",
" xrange=[0.,15.],yrange=[0.,550.])\n",
"nsamp= 30\n",
"alpha=0.5\n",
"for ii in range(nsamp):\n",
" tvxvv= dm_to_dist(numpy.array(vxvv)+numpy.random.normal(size=6)*numpy.array(vxvv_err))\n",
" torb= Orbit(tvxvv,radec=True,solarmotion=[-11.1,24.,7.25]).flip()\n",
" torb.integrate(times_forward,MWPotential2014)\n",
" torb.flip(inplace=True)\n",
" torb.plot(d1=\"t\",d2=\"r\",color='0.5',zorder=0,alpha=alpha,\n",
" overplot=True)\n",
"tight_layout()\n",
"if save_figures:\n",
" savefig('pyxis_orbit_timer.pdf')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Possible orbits for the Pyxis globular cluster in $\\texttt{MWPotential2014}$ with a twice as a massive halo"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Using concentration 20.10\n"
]
}
],
"source": [
"MWPotential2014_2xhalo= copy.deepcopy(MWPotential2014)\n",
"MWPotential2014_2xhalo[2]._amp*= 2.\n",
"print \"Using concentration %.2f\" % MWPotential2014_2xhalo[2].conc(wrtcrit=True,overdens=96.7)\n",
"numpy.random.seed(1)\n",
"times_forward= numpy.linspace(0.,3500.,2001)\n",
"times_backward= numpy.linspace(0.,3500.,2001)\n",
"orb= Orbit(vxvv,radec=True,solarmotion=[-11.1,24.,7.25])\n",
"orb.integrate(times_forward,MWPotential2014_2xhalo)\n",
"orbf= orb.flip()\n",
"orbf.integrate(times_backward,MWPotential2014_2xhalo)\n",
"orbf.flip(inplace=True)\n",
"# Determine the uncertainties in the orbital properties\n",
"nsamp= 100\n",
"stuff= numpy.empty((9,nsamp))\n",
"stuff_labels= [\"R\",\"z\",\"vR\",\"vT\",\"vz\",\"v\",\"rperi\",\"rap\",\"e\"]\n",
"stuff_units= [\"kpc\",\"kpc\",\"km/s\",\"km/s\",\"km/s\",\"km/s\",\"kpc\",\"kpc\",\"\"]\n",
"for ii in range(nsamp):\n",
" tvxvv= dm_to_dist(numpy.array(vxvv)+numpy.random.normal(size=6)*numpy.array(vxvv_err))\n",
" torb= Orbit(tvxvv,radec=True,solarmotion=[-11.1,24.,7.25])\n",
" torb.integrate(times_forward,MWPotential2014_2xhalo)\n",
" stuff[0,ii]= torb.R()\n",
" stuff[1,ii]= torb.z()\n",
" stuff[2,ii]= torb.vR()\n",
" stuff[3,ii]= torb.vT()\n",
" stuff[4,ii]= torb.vz()\n",
" stuff[5,ii]= numpy.sqrt(torb.vx()**2.+torb.vy()**2.+torb.vz()**2.)\n",
" stuff[6,ii]= torb.rperi()\n",
" stuff[7,ii]= torb.rap()\n",
" stuff[8,ii]= torb.e()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some properties of the current location and the orbit, with asymmetric uncertainty ranges:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"R = 41.30 +3.84 -3.24 kpc\n",
"z = 4.88 +0.48 -0.41 kpc\n",
"vR = -233.12 +10.81 -14.38 km/s\n",
"vT = 41.78 +50.87 -66.73 km/s\n",
"vz = 252.15 +53.48 -57.81 km/s\n",
"v = 347.48 +53.62 -43.22 km/s\n",
"rperi = 28.70 +6.12 -6.74 kpc\n",
"rap = 123.21 +144.05 -37.98 kpc\n",
"e = 0.64 +0.13 -0.05 \n"
]
}
],
"source": [
"for ii, (label, unit) in enumerate(zip(stuff_labels,stuff_units)):\n",
" ts= numpy.sort(stuff[ii])\n",
" print \"%s = %.2f +%.2f -%.2f %s\" %\\\n",
" (label, numpy.nanmedian(stuff[ii]),\n",
" ts[int(numpy.floor(0.84*len(ts)))]-numpy.nanmedian(stuff[ii]),\n",
" numpy.nanmedian(stuff[ii])-ts[int(numpy.floor(0.16*len(ts)))],\n",
" unit)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The past orbit in $(R,z)$, with uncertainty:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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tR71eZ9EXIjHFYnGV8JWqcvjoC03im51M+Aog+aCVaicokRa5ToVWxTTpZLPZDUdTKPRu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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117ba0310>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Integrate again, for a shorter time...\n",
"times_forward= numpy.linspace(0.,350.,2001)\n",
"times_backward= numpy.linspace(0.,350.,2001)\n",
"orb= Orbit(vxvv,radec=True,solarmotion=[-11.1,24.,7.25])\n",
"orb.integrate(times_forward,MWPotential2014_2xhalo)\n",
"orbf= orb.flip()\n",
"orbf.integrate(times_backward,MWPotential2014_2xhalo)\n",
"orbf.flip(inplace=True)\n",
"# Plot\n",
"figsize(8,4)\n",
"orbf.plot(d1=\"R\",d2=\"z\",color='k',zorder=1,\n",
" xrange=[0.,250.],yrange=[-250.,250.])\n",
"nsamp= 30\n",
"alpha=0.5\n",
"for ii in range(nsamp):\n",
" tvxvv= dm_to_dist(numpy.array(vxvv)+numpy.random.normal(size=6)*numpy.array(vxvv_err))\n",
" torb= Orbit(tvxvv,radec=True,solarmotion=[-11.1,24.,7.25]).flip()\n",
" torb.integrate(times_forward,MWPotential2014)\n",
" torb.flip(inplace=True)\n",
" torb.plot(d1=\"R\",d2=\"z\",color='0.5',zorder=0,alpha=alpha,\n",
" overplot=True)\n",
"tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The past orbit in time vs. spherical radius"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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NK6VSKebm5iCKIgKBQM/jVqlUcLlcqNfrPd32pDWITCa7V9c7wzCw2+3gef7a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6e7jDPJgqJWq2Fra4uVgaIowjAM7o4Bb7xZKEyUnL9pbEUdPvIWop/zIkDjIE3TuGNIvzZbE+Ry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\n8e4inswMl44AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119534e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(8,4)\n",
"orbf.plot(d1=\"t\",d2=\"r\",color='k',zorder=1,\n",
" xrange=[0.,15.],yrange=[0.,250.])\n",
"nsamp= 30\n",
"alpha=0.5\n",
"for ii in range(nsamp):\n",
" tvxvv= dm_to_dist(numpy.array(vxvv)+numpy.random.normal(size=6)*numpy.array(vxvv_err))\n",
" torb= Orbit(tvxvv,radec=True,solarmotion=[-11.1,24.,7.25]).flip()\n",
" torb.integrate(times_forward,MWPotential2014_2xhalo)\n",
" torb.flip(inplace=True)\n",
" torb.plot(d1=\"t\",d2=\"r\",color='0.5',zorder=0,alpha=alpha,\n",
" overplot=True)\n",
"tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## $r$ vs. $t$ for both halos"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x1197b34d0>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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2bRI6HEIIIQ5KsHv+6k57ZTzPa6ZV0r3yLwPg02iTbiasM0o94QEAYPHixYiP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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119bd9d90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(8,4)\n",
"times_backward= numpy.linspace(0.,350.,2001)\n",
"orb= Orbit(dm_to_dist(vxvv),radec=True,solarmotion=[-11.1,24.,7.25])\n",
"orbf= orb.flip()\n",
"orbf.integrate(times_backward,MWPotential2014)\n",
"orbf.flip(inplace=True)\n",
"l1= orbf.plot(d1=\"t\",d2=\"r\",color='k',zorder=1,\n",
" xrange=[0.,15.],yrange=[0.,550.])\n",
"orb= Orbit(dm_to_dist(vxvv),radec=True,solarmotion=[-11.1,24.,7.25])\n",
"orbf= orb.flip()\n",
"orbf.integrate(times_backward,MWPotential2014_2xhalo)\n",
"orbf.flip(inplace=True)\n",
"l2= orbf.plot(d1=\"t\",d2=\"r\",color='k',zorder=1,ls='--',\n",
" overplot=True)\n",
"import matplotlib.lines as mlines\n",
"pyplot.legend((mlines.Line2D([], [], color='k',ls='-'),\n",
" mlines.Line2D([], [], color='k',ls='--')),\n",
" (r'$\\mathrm{MWPotential2014}$',\n",
" r'$\\mathrm{MWPotential2014}\\ \\mathrm{with}\\ M_{halo} \\times 2$'),\n",
" loc='upper right',#bbox_to_anchor=(.02,.02),\n",
" numpoints=1,\n",
" prop={'size':17},\n",
" frameon=False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Can Pyxis be associated with the ATLAS stream?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The $(\\phi_1,\\phi_2)$ coordinate system of Koposov et al. (2014):"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Position of ATLAS in (phi_1,phi_2): (-8.3266726846940297e-17, 1.1344228779688538e-06)\n",
"Position of the pole in (phi_1,phi_2): (3.1415926535897931, 1.5707963118937354)\n"
]
}
],
"source": [
"_RA_ATLAS_POLE= 77.16/180.*numpy.pi\n",
"_DEC_ATLAS_POLE= 46.92/180.*numpy.pi\n",
"_RA_ATLAS= 20./180.*numpy.pi\n",
"_DEC_ATLAS= -26.8902/180.*numpy.pi\n",
"_TPOLE= numpy.dot(numpy.array([[-numpy.sin(_DEC_ATLAS_POLE),0.,numpy.cos(_DEC_ATLAS_POLE)],\n",
" [0.,1.,0.],\n",
" [numpy.cos(_DEC_ATLAS_POLE),0.,numpy.sin(_DEC_ATLAS_POLE)]]),\n",
" numpy.array([[numpy.cos(_RA_ATLAS_POLE),numpy.sin(_RA_ATLAS_POLE),0.],\n",
" [-numpy.sin(_RA_ATLAS_POLE),numpy.cos(_RA_ATLAS_POLE),0.],\n",
" [0.,0.,1.]]))\n",
"_RA_ATLAS_ROT, _DEC_ATLAS_ROT= bovy_coords.radec_to_custom(_RA_ATLAS,_DEC_ATLAS,T=_TPOLE)\n",
"_TKOP14= numpy.dot(numpy.array([[1.,0.,0.],[0.,-1.,0.],[0.,0.,1]]),\n",
" numpy.dot(numpy.array([[numpy.cos(_RA_ATLAS_ROT),numpy.sin(_RA_ATLAS_ROT),0.],\n",
" [-numpy.sin(_RA_ATLAS_ROT),numpy.cos(_RA_ATLAS_ROT),0.],\n",
" [0.,0.,1.]]),\n",
" _TPOLE))\n",
"print \"Position of ATLAS in (phi_1,phi_2):\", bovy_coords.radec_to_custom(_RA_ATLAS,_DEC_ATLAS,T=_TKOP14)\n",
"print \"Position of the pole in (phi_1,phi_2):\", bovy_coords.radec_to_custom(_RA_ATLAS_POLE,_DEC_ATLAS_POLE,T=_TKOP14)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def add_range_labels_atlas(full=False):\n",
" subplot(1,2,1)\n",
" plot([-6.,6.],[0.,0.],'k-',lw=5.,zorder=10)\n",
" phi1_pyxis, phi2_pyxis= bovy_coords.radec_to_custom(vxvv[0],vxvv[1],T=_TKOP14,degree=True)\n",
" pmphi1_pyxis, pmphi2_pyxis= bovy_coords.pmrapmdec_to_custom(0.26,0.25,136.99,-37.2,T=_TKOP14,degree=True)\n",
" plot(phi1_pyxis,phi2_pyxis,'ko',ms=7.)\n",
" quiver(phi1_pyxis,phi2_pyxis,pmphi1_pyxis,pmphi2_pyxis,zorder=10,scale=3.,headwidth=3.,headlength=5.)\n",
" if full:\n",
" xlim(-180.,180.)\n",
" ylim(-90.,90.)\n",
" else:\n",
" xlim(-150.,150.)\n",
" ylim(-54.,54.)\n",
" xlabel(r'$\\phi_1\\,(\\mathrm{degree})$')\n",
" ylabel(r'$\\phi_2\\,(\\mathrm{degree})$')\n",
" bovy_plot._add_ticks()\n",
" subplot(1,2,2)\n",
" plot([-6.,6.],[20.,20.],'k-',lw=5.,zorder=10)\n",
" plot(phi1_pyxis,vxvv[2],'ko',ms=7.)\n",
" xlim(-150.,150.)\n",
" ylim(0.,100.)\n",
" xlabel(r'$\\phi_1\\,(\\mathrm{degree})$')\n",
" ylabel(r'$\\mathrm{Distance}\\,(\\mathrm{kpc})$')\n",
" bovy_plot._add_ticks()\n",
" return None\n",
"def plot_angle_wrapped(*args,**kwargs):\n",
" \"\"\"Like plot, but splits first argument by points where the angle wraps around 360 degrees,\n",
" works, but very much hacked together\"\"\"\n",
" breaks= numpy.hstack(([0],\n",
" numpy.arange(len(args[0]))[(numpy.fabs(numpy.roll(args[0],-1)-args[0]) > 180.)\\\n",
" *(numpy.arange(len(args[0])) < (len(args[0])-1))],\n",
" [len(args[0])]))\n",
" add= numpy.zeros(len(breaks),dtype='int')+1\n",
" add[0]= 0\n",
" for ii in range(len(breaks)-1):\n",
" plot(args[0][breaks[ii]+add[ii]:breaks[ii+1]+1],\n",
" args[1][breaks[ii]+add[ii]:breaks[ii+1]+1],\n",
" *args[2:],**kwargs)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The orbit for the best-fit phase-space position is:"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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vvPAC5syZE+UIicanqvsB7Hc6DiKKjbTcXMz+wz/Amaa96Nr3HvJvXet0SHEj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\nERERACbGREREREQAgP8f5bSyLnx/UkMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11abcb710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Integrate again, for a shorter time...\n",
"times_forward= numpy.linspace(0.,350.,2001)\n",
"times_backward= numpy.linspace(0.,350.,2001)\n",
"orb= Orbit(vxvv,radec=True,solarmotion=[-11.1,24.,7.25])\n",
"orb.integrate(times_forward,MWPotential2014)\n",
"orbf= orb.flip()\n",
"orbf.integrate(times_backward,MWPotential2014)\n",
"orbf.flip(inplace=True)\n",
"# Plot\n",
"figsize(10,4)\n",
"subplot(1,2,1)\n",
"ras, decs= orb.ra(times_forward), orb.dec(times_forward)\n",
"phi12s= bovy_coords.radec_to_custom(ras,decs,T=_TKOP14,degree=True)\n",
"plot_angle_wrapped(phi12s[:,0],phi12s[:,1])\n",
"subplot(1,2,2)\n",
"plot_angle_wrapped(phi12s[:,0],orb.dist(times_forward))\n",
"subplot(1,2,1)\n",
"ras, decs= orbf.ra(times_backward), orbf.dec(times_backward)\n",
"phi12s= bovy_coords.radec_to_custom(ras,decs,T=_TKOP14,degree=True)\n",
"plot_angle_wrapped(phi12s[:,0],phi12s[:,1])\n",
"subplot(1,2,2)\n",
"plot_angle_wrapped(phi12s[:,0],orbf.dist(times_backward))\n",
"add_range_labels_atlas()\n",
"tight_layout()\n",
"phi1_pyxis, phi2_pyxis= bovy_coords.radec_to_custom(vxvv[0],vxvv[1],T=_TKOP14,degree=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Perform a sampling of orbits within the error ellipse:"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"numpy.random.seed(1)\n",
"nsamp= 300\n",
"all_orb= []\n",
"all_orbf= []\n",
"# Integrate for a long time to determine the orbital plane in phi1,phi2\n",
"times_forward= numpy.linspace(0.,3500.,2001)\n",
"times_backward= numpy.linspace(0.,3500.,2001)\n",
"for ii in range(nsamp):\n",
" tvxvv= dm_to_dist(numpy.array(vxvv)+numpy.random.normal(size=6)*numpy.array(vxvv_err))\n",
" orb= Orbit(tvxvv,radec=True,solarmotion=[-11.1,24.,7.25])\n",
" orb.integrate(times_forward,MWPotential2014)\n",
" all_orb.append(orb)\n",
" orbf= orb.flip()\n",
" orbf.integrate(times_backward,MWPotential2014)\n",
" orbf.flip(inplace=True)\n",
" all_orbf.append(orbf)\n",
"# Also store the orbit corresponding to the best-fit phase-space position\n",
"tvxvv= dm_to_dist(numpy.array(vxvv))\n",
"orb_bf= Orbit(tvxvv,radec=True,solarmotion=[-11.1,24.,7.25])\n",
"orb_bf.integrate(times_forward,MWPotential2014)\n",
"all_orb.append(orb_bf)\n",
"orbf_bf= orb_bf.flip()\n",
"orbf_bf.integrate(times_backward,MWPotential2014)\n",
"orbf_bf.flip(inplace=True)\n",
"all_orbf.append(orbf_bf)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The orbit essentially never comes close to the ATLAS stream in both celestial position and distance. The following shows where orbits leading and trailing the current position of Pyxis go in the previous or next 10 Gyr. The arrow points along the proper motion measured for Pyxis:"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Find the typical range of phi2 at a given phi1\n",
"skip= 1\n",
"times_forward_dens= numpy.linspace(0.,3500.,20001)\n",
"times_backward_dens= numpy.linspace(0.,3500.,20001)\n",
"phi1s_for_range= numpy.linspace(-161.,161.,201)\n",
"nsamp_per_phi1= 1000\n",
"phi2s_for_range= numpy.zeros((len(phi1s_for_range),len(all_orb)*2*nsamp_per_phi1))-100.\n",
"for ee,(orb,orbf) in enumerate(zip(all_orb[::skip],all_orbf[::skip])):\n",
" ras, decs= orb.ra(times_forward_dens), orb.dec(times_forward_dens)\n",
" phi12s= bovy_coords.radec_to_custom(ras,decs,T=_TKOP14,degree=True)\n",
" for ii in range(len(phi1s_for_range)-1):\n",
" # Find the phi2s in this phi1 range\n",
" indx= (phi12s[:,0] > phi1s_for_range[ii])*(phi12s[:,0] <= phi1s_for_range[ii+1])\n",
" # Keep a random subset of these\n",
" if numpy.sum(indx) > nsamp_per_phi1:\n",
" phi2s_for_range[ii,nsamp_per_phi1*ee:nsamp_per_phi1*(ee+1)]= phi12s[indx,1][numpy.random.permutation(numpy.sum(indx))][:nsamp_per_phi1]\n",
" else:\n",
" phi2s_for_range[ii,nsamp_per_phi1*ee:nsamp_per_phi1*ee+numpy.sum(indx)]= phi12s[indx,1]\n",
" ras, decs= orbf.ra(times_backward_dens), orbf.dec(times_backward_dens)\n",
" phi12s= bovy_coords.radec_to_custom(ras,decs,T=_TKOP14,degree=True)\n",
" startindx= len(all_orb)*nsamp_per_phi1\n",
" for ii in range(len(phi1s_for_range)-1):\n",
" # Find the phi2s in this phi1 range\n",
" indx= (phi12s[:,0] > phi1s_for_range[ii])*(phi12s[:,0] <= phi1s_for_range[ii+1])\n",
" # Keep a random subset of these\n",
" if numpy.sum(indx) > nsamp_per_phi1:\n",
" phi2s_for_range[ii,startindx+nsamp_per_phi1*ee:startindx+nsamp_per_phi1*(ee+1)]= phi12s[indx,1][numpy.random.permutation(numpy.sum(indx))][:nsamp_per_phi1]\n",
" else:\n",
" phi2s_for_range[ii,startindx+nsamp_per_phi1*ee:startindx+nsamp_per_phi1*ee+numpy.sum(indx)]= phi12s[indx,1]"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"/Users/bovy/anaconda/envs/py27/lib/python2.7/site-packages/matplotlib/__init__.py:898: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
" warnings.warn(self.msg_depr % (key, alt_key))\n",
"\n"
]
},
{
"data": {
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NjI0Z49FoGZpqy3BlOAK71YKMsr1s5maRT++IFkQUC4zzt/aZhOCma5qmPH+p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\n9dVXxMRcX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O7pAV2N7/cmmYJiJcyTh2dLEw/RnEaj4f7bB1FVXcfGuBT+8mE8ix6cwBO/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\nCWMAAKiEMQAAVMIYAACqGrIMtW796r8XAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1180f3cd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bovy_plot.bovy_print(fig_width=10.,fig_height=4.,\n",
" axes_labelsize=14.,xtick_labelsize=12.,ytick_labelsize=12.)\n",
"# Add some orbits\n",
"times_forward_short= numpy.linspace(0.,10./bovy_conversion.time_in_Gyr(vo,ro),1001)\n",
"times_backward_short= numpy.linspace(0.,10./bovy_conversion.time_in_Gyr(vo,ro),1001)\n",
"ls= '-'\n",
"marker= ','\n",
"alpha= 1.\n",
"norbs= 15\n",
"colors= [sns.color_palette()[0] for ii in range(norbs)]\n",
"colors.append(sns.color_palette()[4]) # for best-fit\n",
"lws= [2. for ii in range(norbs)]\n",
"lws.append(4.)\n",
"plot_orb= all_orb[:norbs]\n",
"plot_orb.append(all_orb[-1]) # Add best-fit\n",
"plot_orbf= all_orbf[:norbs]\n",
"plot_orbf.append(all_orbf[-1])\n",
"for orb,orbf,color,lw in zip(plot_orb,plot_orbf,colors,lws):\n",
" subplot(1,2,1)\n",
" ras, decs= orb.ra(times_forward_short), orb.dec(times_forward_short)\n",
" phi12s= bovy_coords.radec_to_custom(ras,decs,T=_TKOP14,degree=True)\n",
" nadd= 10\n",
" indx= numpy.fabs(phi12s[:,0]) < 5.\n",
" try:\n",
" p1indx= numpy.arange(len(phi12s[:,0]))[indx][0]\n",
" except IndexError:\n",
" p1indx= len(phi12s[:,0])-nadd-1\n",
" if p1indx > len(phi12s[:,0])-nadd: p1indx= len(phi12s[:,0])-nadd\n",
" dphi1= numpy.fabs(phi12s[p1indx,0]-phi12s[p1indx-1,0])\n",
" nadd= int(numpy.ceil(10./dphi1))\n",
" plot_angle_wrapped(phi12s[:p1indx+nadd,0],\n",
" phi12s[:p1indx+nadd,1],\n",
" color=color,alpha=alpha,ls=ls,marker=marker,lw=lw)\n",
" subplot(1,2,2)\n",
" plot_angle_wrapped(phi12s[:p1indx+nadd,0],\n",
" orb.dist(times_forward_short)[:p1indx+nadd],\n",
" color=color,alpha=alpha,ls=ls,marker=marker,lw=lw)\n",
" subplot(1,2,1)\n",
" ras, decs= orbf.ra(times_backward_short), orbf.dec(times_backward_short)\n",
" phi12s= bovy_coords.radec_to_custom(ras,decs,T=_TKOP14,degree=True)\n",
" indx= numpy.fabs(phi12s[:,0]) < 5.\n",
" nadd2= 25\n",
" try:\n",
" p1indx= numpy.arange(len(phi12s[:,0]))[indx][0]\n",
" except IndexError:\n",
" p1indx= len(phi12s[:,0])-nadd2-1\n",
" if p1indx > len(phi12s[:,0])-nadd2: p1indx= len(phi12s[:,0])-nadd2\n",
" dphi1= numpy.fabs(phi12s[p1indx,0]-phi12s[p1indx-1,0])\n",
" nadd2= int(numpy.ceil(10./dphi1))\n",
" phi1zero_indx= numpy.argmin(numpy.fabs(phi12s[:,0]))\n",
" plot_angle_wrapped(phi12s[:p1indx+nadd2,0],\n",
" phi12s[:p1indx+nadd2,1],\n",
" color=color,alpha=alpha,ls=ls,marker=marker,lw=lw)\n",
" subplot(1,2,2)\n",
" plot_angle_wrapped(phi12s[:p1indx+nadd2,0],\n",
" orbf.dist(times_backward_short)[:p1indx+nadd2],\n",
" color=color,alpha=alpha,ls=ls,marker=marker,lw=lw)\n",
"add_range_labels_atlas()\n",
"subplot(1,2,1)\n",
"bovy_plot.bovy_text(92.,-18.75,r'$\\mathrm{Pyxis}$',size=15.)\n",
"bovy_plot.bovy_text(-55.,1.5,r'$\\mathrm{ATLAS}$',size=15.)\n",
"subplot(1,2,2)\n",
"bovy_plot.bovy_text(98.,45.,r'$\\mathrm{Pyxis}$',size=15.)\n",
"bovy_plot.bovy_text(-60.,22.5,r'$\\mathrm{ATLAS}$',size=15.)\n",
"tight_layout()\n",
"# Save as two separate EPS files\n",
"subplot(1,2,1)\n",
"extent= gca().get_window_extent().transformed(gcf().dpi_scale_trans.inverted())\n",
"extent.x0= 0.1\n",
"extent.y0= 0.15\n",
"extent.x1= 4.95\n",
"extent.y1= 3.9\n",
"if save_figures:\n",
" gcf().savefig('pyxis_orbits_phi12.eps',bbox_inches=extent)\n",
"subplot(1,2,2)\n",
"extent= gca().get_window_extent().transformed(gcf().dpi_scale_trans.inverted())\n",
"extent.x0= 5.0\n",
"extent.y0= 0.15\n",
"extent.x1= 9.9\n",
"extent.y1= 3.9\n",
"if save_figures:\n",
" gcf().savefig('pyxis_orbits_phi1dist.eps',bbox_inches=extent)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Same in (RA,Dec), showing the full sky:"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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CfUJWFAeOI+wWwmqhahxBRHGXt51ixYIR3LGi937k71sCnv9sE0pfB70qUCgUCqXP0UVw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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11868db10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bovy_plot.bovy_print(fig_width=10.,fig_height=4.,\n",
" axes_labelsize=14.,xtick_labelsize=12.,ytick_labelsize=12.)\n",
"# Add some orbits\n",
"ls= '-'\n",
"marker= ','\n",
"alpha= 1.\n",
"color= sns.color_palette()[0]\n",
"norbs= 15\n",
"for orb,orbf in zip(all_orb[:norbs],all_orbf[:norbs]):\n",
" subplot(1,2,1)\n",
" ras, decs= orb.ra(times_forward_short), orb.dec(times_forward_short)\n",
" phi12s= bovy_coords.radec_to_custom(ras,decs,T=_TKOP14,degree=True)\n",
" nadd= 10\n",
" indx= numpy.fabs(phi12s[:,0]) < 5.\n",
" try:\n",
" p1indx= numpy.arange(len(phi12s[:,0]))[indx][0]\n",
" except IndexError:\n",
" p1indx= len(phi12s[:,0])-nadd-1\n",
" if p1indx > len(phi12s[:,0])-nadd: p1indx= len(phi12s[:,0])-nadd\n",
" dphi1= numpy.fabs(phi12s[p1indx,0]-phi12s[p1indx-1,0])\n",
" nadd= int(numpy.ceil(10./dphi1))\n",
" plot_angle_wrapped(ras[:p1indx+nadd],\n",
" decs[:p1indx+nadd],\n",
" color=color,alpha=alpha,ls=ls,marker=marker)\n",
" subplot(1,2,2)\n",
" plot_angle_wrapped(ras[:p1indx+nadd],\n",
" orb.dist(times_forward_short)[:p1indx+nadd],\n",
" color=color,alpha=alpha,ls=ls,marker=marker)\n",
" subplot(1,2,1)\n",
" ras, decs= orbf.ra(times_backward_short), orbf.dec(times_backward_short)\n",
" phi12s= bovy_coords.radec_to_custom(ras,decs,T=_TKOP14,degree=True)\n",
" indx= numpy.fabs(phi12s[:,0]) < 5.\n",
" nadd2= 25\n",
" try:\n",
" p1indx= numpy.arange(len(phi12s[:,0]))[indx][0]\n",
" except IndexError:\n",
" p1indx= len(phi12s[:,0])-nadd2-1\n",
" if p1indx > len(phi12s[:,0])-nadd2: p1indx= len(phi12s[:,0])-nadd2\n",
" dphi1= numpy.fabs(phi12s[p1indx,0]-phi12s[p1indx-1,0])\n",
" nadd2= int(numpy.ceil(10./dphi1))\n",
" phi1zero_indx= numpy.argmin(numpy.fabs(phi12s[:,0]))\n",
" plot_angle_wrapped(ras[:p1indx+nadd2],\n",
" decs[:p1indx+nadd2],\n",
" color=color,alpha=alpha,ls=ls,marker=marker)\n",
" subplot(1,2,2)\n",
" plot_angle_wrapped(ras[:p1indx+nadd2],\n",
" orbf.dist(times_backward_short)[:p1indx+nadd2],\n",
" color=color,alpha=alpha,ls=ls,marker=marker)\n",
"subplot(1,2,1)\n",
"xlim(0.,360.)\n",
"ylim(-90.,90.)\n",
"xlabel(r'$\\mathrm{RA}\\,(\\mathrm{degree})$')\n",
"ylabel(r'$\\mathrm{Dec}\\,(\\mathrm{degree})$')\n",
"bovy_plot._add_ticks()\n",
"subplot(1,2,2)\n",
"xlim(0.,360.)\n",
"ylim(0.,550.)\n",
"xlabel(r'$\\mathrm{RA}\\,(\\mathrm{degree})$')\n",
"ylabel(r'$\\mathrm{Distance}\\,(\\mathrm{kpc})$')\n",
"bovy_plot._add_ticks()\n",
"tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Same, but for a halo mass that is twice that in $\\mathtt{MWPotential2014}$:"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"numpy.random.seed(1)\n",
"figsize(10,4)\n",
"nsamp= 15\n",
"alpha= 0.2\n",
"color= sns.color_palette()[0]\n",
"ls= 'none'\n",
"marker= ','\n",
"phimatch_tol= 3.\n",
"match_range= 100\n",
"all_orb= []\n",
"all_orbf= []\n",
"# Integrate for a long time to determine the orbital plane in phi1,phi2\n",
"times_forward= numpy.linspace(0.,3500.,2001)\n",
"times_backward= numpy.linspace(0.,3500.,2001)\n",
"for ii in range(nsamp):\n",
" tvxvv= dm_to_dist(numpy.array(vxvv)+numpy.random.normal(size=6)*numpy.array(vxvv_err))\n",
" orb= Orbit(tvxvv,radec=True,solarmotion=[-11.1,24.,7.25])\n",
" orb.integrate(times_forward,MWPotential2014_2xhalo)\n",
" all_orb.append(orb)\n",
" orbf= orb.flip()\n",
" orbf.integrate(times_backward,MWPotential2014_2xhalo)\n",
" orbf.flip(inplace=True)\n",
" all_orbf.append(orbf)\n",
" ras, decs= orb.ra(times_forward), orb.dec(times_forward)\n",
" phi12s= bovy_coords.radec_to_custom(ras,decs,T=_TKOP14,degree=True)\n",
" ras, decs= orbf.ra(times_backward), orbf.dec(times_backward)\n",
" phi12s= bovy_coords.radec_to_custom(ras,decs,T=_TKOP14,degree=True)\n",
"# Find the typical range of phi2 at a given phi1\n",
"skip= 1\n",
"times_forward_dens= numpy.linspace(0.,3500.,20001)\n",
"times_backward_dens= numpy.linspace(0.,3500.,20001)\n",
"phi1s_for_range= numpy.linspace(-161.,161.,201)\n",
"nsamp_per_phi1= 1000\n",
"phi2s_for_range= numpy.zeros((len(phi1s_for_range),len(all_orb)*2*nsamp_per_phi1))-100.\n",
"for ee,(orb,orbf) in enumerate(zip(all_orb[::skip],all_orbf[::skip])):\n",
" ras, decs= orb.ra(times_forward_dens), orb.dec(times_forward_dens)\n",
" phi12s= bovy_coords.radec_to_custom(ras,decs,T=_TKOP14,degree=True)\n",
" for ii in range(len(phi1s_for_range)-1):\n",
" # Find the phi2s in this phi1 range\n",
" indx= (phi12s[:,0] > phi1s_for_range[ii])*(phi12s[:,0] <= phi1s_for_range[ii+1])\n",
" # Keep a random subset of these\n",
" if numpy.sum(indx) > nsamp_per_phi1:\n",
" phi2s_for_range[ii,nsamp_per_phi1*ee:nsamp_per_phi1*(ee+1)]= phi12s[indx,1][numpy.random.permutation(numpy.sum(indx))][:nsamp_per_phi1]\n",
" else:\n",
" phi2s_for_range[ii,nsamp_per_phi1*ee:nsamp_per_phi1*ee+numpy.sum(indx)]= phi12s[indx,1]\n",
" ras, decs= orbf.ra(times_backward_dens), orbf.dec(times_backward_dens)\n",
" phi12s= bovy_coords.radec_to_custom(ras,decs,T=_TKOP14,degree=True)\n",
" startindx= len(all_orb)*nsamp_per_phi1\n",
" for ii in range(len(phi1s_for_range)-1):\n",
" # Find the phi2s in this phi1 range\n",
" indx= (phi12s[:,0] > phi1s_for_range[ii])*(phi12s[:,0] <= phi1s_for_range[ii+1])\n",
" # Keep a random subset of these\n",
" if numpy.sum(indx) > nsamp_per_phi1:\n",
" phi2s_for_range[ii,startindx+nsamp_per_phi1*ee:startindx+nsamp_per_phi1*(ee+1)]= phi12s[indx,1][numpy.random.permutation(numpy.sum(indx))][:nsamp_per_phi1]\n",
" else:\n",
" phi2s_for_range[ii,startindx+nsamp_per_phi1*ee:startindx+nsamp_per_phi1*ee+numpy.sum(indx)]= phi12s[indx,1]"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
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riuVQQXq5UBSFA/XqOixmifklmTS2O6iryuGkJow/uCM+k+5cHj/P71MbEbdO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\nSKIwBgAAACRRGAMAAACSpP8D0+061GM64bEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a833490>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bovy_plot.bovy_print(fig_width=10.,fig_height=4.,\n",
" axes_labelsize=14.,xtick_labelsize=12.,ytick_labelsize=12.)\n",
"# Add some orbits\n",
"times_forward_short= numpy.linspace(0.,10./bovy_conversion.time_in_Gyr(vo,ro),1001)\n",
"times_backward_short= numpy.linspace(0.,10./bovy_conversion.time_in_Gyr(vo,ro),1001)\n",
"ls= '-'\n",
"marker= ','\n",
"alpha= 1.\n",
"color= sns.color_palette()[0]\n",
"norbs= 15\n",
"for orb,orbf in zip(all_orb[:norbs],all_orbf[:norbs]):\n",
" subplot(1,2,1)\n",
" ras, decs= orb.ra(times_forward_short), orb.dec(times_forward_short)\n",
" phi12s= bovy_coords.radec_to_custom(ras,decs,T=_TKOP14,degree=True)\n",
" nadd= 10\n",
" indx= numpy.fabs(phi12s[:,0]) < 5.\n",
" try:\n",
" p1indx= numpy.arange(len(phi12s[:,0]))[indx][0]\n",
" except IndexError:\n",
" p1indx= len(phi12s[:,0])-nadd-1\n",
" if p1indx > len(phi12s[:,0])-nadd: p1indx= len(phi12s[:,0])-nadd\n",
" dphi1= numpy.fabs(phi12s[p1indx,0]-phi12s[p1indx-1,0])\n",
" nadd= int(numpy.ceil(10./dphi1))\n",
" plot_angle_wrapped(phi12s[:p1indx+nadd,0],\n",
" phi12s[:p1indx+nadd,1],\n",
" color=color,alpha=alpha,ls=ls,marker=marker)\n",
" subplot(1,2,2)\n",
" plot_angle_wrapped(phi12s[:p1indx+nadd,0],\n",
" orb.dist(times_forward_short)[:p1indx+nadd],\n",
" color=color,alpha=alpha,ls=ls,marker=marker)\n",
" subplot(1,2,1)\n",
" ras, decs= orbf.ra(times_backward_short), orbf.dec(times_backward_short)\n",
" phi12s= bovy_coords.radec_to_custom(ras,decs,T=_TKOP14,degree=True)\n",
" indx= numpy.fabs(phi12s[:,0]) < 5.\n",
" nadd2= 25\n",
" try:\n",
" p1indx= numpy.arange(len(phi12s[:,0]))[indx][0]\n",
" except IndexError:\n",
" p1indx= len(phi12s[:,0])-nadd2-1\n",
" if p1indx > len(phi12s[:,0])-nadd2: p1indx= len(phi12s[:,0])-nadd2\n",
" dphi1= numpy.fabs(phi12s[p1indx,0]-phi12s[p1indx-1,0])\n",
" nadd2= int(numpy.ceil(10./dphi1))\n",
" phi1zero_indx= numpy.argmin(numpy.fabs(phi12s[:,0]))\n",
" plot_angle_wrapped(phi12s[:p1indx+nadd2,0],\n",
" phi12s[:p1indx+nadd2,1],\n",
" color=color,alpha=alpha,ls=ls,marker=marker)\n",
" subplot(1,2,2)\n",
" plot_angle_wrapped(phi12s[:p1indx+nadd2,0],\n",
" orbf.dist(times_backward_short)[:p1indx+nadd2],\n",
" color=color,alpha=alpha,ls=ls,marker=marker)\n",
"add_range_labels_atlas()\n",
"subplot(1,2,1)\n",
"bovy_plot.bovy_text(92.,-18.75,r'$\\mathrm{Pyxis}$',size=15.)\n",
"bovy_plot.bovy_text(-55.,1.5,r'$\\mathrm{ATLAS}$',size=15.)\n",
"subplot(1,2,2)\n",
"bovy_plot.bovy_text(98.,45.,r'$\\mathrm{Pyxis}$',size=15.)\n",
"bovy_plot.bovy_text(-60.,22.5,r'$\\mathrm{ATLAS}$',size=15.)\n",
"tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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o9Vp0Wg0ut4eG5nZCLAbcbg9utwd7u4vwYCNarQaNBmoa2ogIMdHc2o7D1ZF8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\nUBZkZiJYWUhRyXqY+nvYYlZyMJ7/+ChkZmKsnR+P/9t0GRn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DOjRavVdikJc9SqvkcHW0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