{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import clustertools as cts\n", "import numpy as np\n", "from galpy.orbit import Orbit\n", "from galpy.potential import MWPotential2014,PlummerPotential\n", "from galpy.util import conversion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Orbits and Tidal Tails" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For cases where a cluster's galactocentric position and velocity are known and a ``galpy`` potential (Bovy J., 2015, ApJS, 216, 29) is given, it is possible to calculate additional cluster properties based on their orbit. \n", "\n", "To begin, lets load the final snapshot of an N-body simulation that was meant to reproduce the Galactic globular cluster Pal 5. Note one could have used ``load_cluster(ctype='limepy',gcname='Pal5')`` to generate a Pal 5 - like cluster, but it would not have any tidal tails (which will also be discussed here). The external tidal field is assumed to be equal to the ``MWPotential2014`` model from Bovy (2015). For all types of orbit analysis, this can be replaced with a different ``galpy`` potential using the ``pot`` variable.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cluster = cts.load_cluster('snapshot',filename='pal5.dat', units='kpckms',origin='galaxy')\n", "cts.starplot(cluster)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you wish to extract the orbit of the cluster as a ``galpy`` orbit to analyze within ``galpy``, simply initialize the orbit via:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cluster.initialize_orbit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After the above step, ``cluster.orbit`` now contains the ``galpy`` orbit. You can also integrate the orbit forwards to ``tfinal`` Gyr, with the option to do the standard ``galpy`` orbit plot. For illustrative purposes, I have shown how the ``pot`` variable can be used to specify the background potential." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ts=np.linspace(0,1/conversion.time_in_Gyr(ro=cluster.orbit._ro,vo=cluster.orbit._vo),1000)\n", "cluster.orbit.integrate(ts,MWPotential2014)\n", "cluster.orbit.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If instead you wish to extract that orbital path +/- ``dt`` Gyr from the cluster's current position, you can run the below command which also has a plot option. Note the default ``dt`` is 0.1 Gyr, but for this particular snapshot a ``dt`` of 0.3 Gyr is needed to approximately cover the length of the tails." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t,x,y,z,vx,vy,vz=cluster.orbital_path(plot=True,pot=MWPotential2014,dt=0.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A related feature implemented in ``clustertools`` is the ability to find the distance of each star from the stream path (``dpath``) and its distance along the stream path from the progenitor (``dprog``). When calling ``orbital_path_match``, the timestep along the orbital path that each star is closest to is also returned (``tpath``)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t,dprog,dpath=cluster.orbital_path_match(pot=MWPotential2014,plot=True,dt=0.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively one can calculate what ``clustertools`` calls the tail path. To determine the tail path, ``clustertools`` first matches each star to the orbital path, bins stars along the orbital path, and then finds the mean position and velocity of stars in the same bin. The tail path better follows tidal tail stars which are generally offset from the orbital path due to them having non-zero velocities when they escape the cluster. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([-0.003, -0.003, -0.003, ..., 0.033, -0.135, 0.045]),\n", " array([ 0. , 0. , 0. , ..., 8.16113693,\n", " -22.17925342, 12.00729019]),\n", " array([-0.1377047 , 0.13570313, 0.13583119, ..., 0.05525546,\n", " -0.3445197 , -0.15470062]))" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cluster.tail_path(pot=MWPotential2014,plot=True,dt=0.3,filename='../images/tail_path.png')\n", "cluster.tail_path_match(pot=MWPotential2014,plot=True,dt=0.3,filename='../images/tail_path_match.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, ``clustertools`` also allows for a system to be interpolated to a past or future timestep. Note this does NOT handle any internal cluster evolution, as it simply moves all cluster stars to a new orbital position. The advanage to the orbit interpolation function is that you can specificy what constitutes a tail star and integrate their orbits separately. This function allows one to more directly compare the tidal tail systems of N-body simulations to an observed cluster by ensuring the N-body system is at the exact same position as the progenitor. \n", "\n", "For example, lets start with an NGC 6101-like system initialized using the ``load_cluster``, where a lowered isothermal model from LIMPY is used to generate NGC 6101 based on the best fir parameters from de Boer et al. 2019. Not we initialize the model with ``origin='galaxy'`` and ``units='kpckms'``." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LOAD_CLUSTER MADE USE OF:\n", "Gieles, M. & Zocchi, A. 2015, MNRAS, 454, 576\n", "Vasiliev E., 2019, MNRAS, 484,2832 \n", "de Boer, T. J. L., Gieles, M., Balbinot, E., Hénault-Brunet, V., Sollima, A., Watkins, L. L., Claydon, I. 2019, MNRAS, 485, 4906\n" ] }, { "data": { "text/plain": [ "0" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cluster = cts.load_cluster('limepy',gcname='NGC6101',origin='galaxy',units='kpckms')\n", "cts.starplot(cluster,do_centre=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we then interpolate the system 1 Gyr ahead in time, the centre of the cluster will move but the clustercentric positions and velocities of the stars themselves will stay the same" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cluster.interpolate_orbit(pot=MWPotential2014,tfinal=1.0)\n", "cts.starplot(cluster,do_centre=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively you can use ``interpolate_orbits`` which will interpolate the orbits of stars within the cluster. If ``origin=centre`` or ``origin=cluster``, ``clustertools`` will assume it is the cluster's potential that is being provided and orbits will be integrated within the cluster. If ``origin='galaxy'``, ``clustertools`` will assume its the galactic potential being provided. This type of interpolation is really only valid for a stellar stream, unless the combined potential of the galaxy and cluster are provided (see ``MovingPotential`` within galpy's documentation)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LOAD_CLUSTER MADE USE OF:\n", "Gieles, M. & Zocchi, A. 2015, MNRAS, 454, 576\n", "Vasiliev E., 2019, MNRAS, 484,2832 \n", "de Boer, T. J. L., Gieles, M., Balbinot, E., Hénault-Brunet, V., Sollima, A., Watkins, L. L., Claydon, I. 2019, MNRAS, 485, 4906\n" ] }, { "data": { "text/plain": [ "0" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cluster = cts.load_cluster('limepy',gcname='NGC6101',origin='cluster',units='pckms')\n", "cts.starplot(cluster,do_centre=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To interpolate stars within the cluster, lets assume the cluster's potential is a Plummer Sphere. Also note that ``tfinal`` is given in Myr since ``units=pckms``" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " \r" ] }, { "data": { "text/plain": [ "(array([ 4.08001261, -1.73009228, 0.98027894, ..., -22.84690542,\n", " 12.15213098, 7.30701486]),\n", " array([ -0.84052929, -1.82759056, 3.99883035, ..., 4.06053046,\n", " 32.32265448, 13.91795629]),\n", " array([ 6.24731999, 3.08734876, -2.38146302, ..., -23.63221055,\n", " -18.65189181, -3.68864173]),\n", " array([ 5.32189375e-01, -3.12568732e-01, 3.62392791e-01, ...,\n", " -3.38536676e-01, -4.72837211e-04, -3.18064879e-01]),\n", " array([-0.12288152, -0.19749976, -0.31355414, ..., 0.30403016,\n", " -0.3263936 , -0.24657509]),\n", " array([ 0.70982236, 0.77686439, -0.14442882, ..., -0.17207202,\n", " 0.20851848, -0.13694187]))" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pot=PlummerPotential(cluster.mtot/conversion.mass_in_msol(ro=cts.solar_ro,vo=cts.solar_vo),b=cluster.rm/1.35/1000.0/cts.solar_ro,ro=cts.solar_ro,vo=cts.solar_vo)\n", "cluster.interpolate_orbits(pot=pot,tfinal=1000.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A quick check reveals the stellar positions have moved" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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