{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/Users/webbjere/Codes/clustertools/clustertools/analysis/profiles.py:34: FutureWarning: all profiles are setup such that the returned radial bins and profile values are in linear space and not normalized by the effective radius. Previously select profiles had unique returns.\n", " warnings.warn('all profiles are setup such that the returned radial bins and profile values are in linear space and not normalized by the effective radius. Previously select profiles had unique returns.',FutureWarning)\n", "\n" ] } ], "source": [ "import clustertools as cts\n", "import numpy as np\n", "from astropy.table import QTable\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Loading and Advancing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Loading Snapshots**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To manually load a snapshot of a cluster, simply read in the file via your preferred method, declare a StarCluster with the appropriate units and origin, and add stars. For example, consider a snapshot of a star cluster in a file named 00000.dat with columns of stellar mass, position (x,y,z) in pc , and velocity (vx,vy,vz) in km/s. The origin of the system is the cluster's centre. A StarCluster can be initialized via:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "m,x,y,z,vx,vy,vz=np.loadtxt('00000.dat',unpack=True)\n", "\n", "cluster=cts.StarCluster(units='pckms',origin='cluster')\n", "cluster.add_stars(x,y,z,vx,vy,vz,m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The snapshot can be quickly viewed using the ``starplot`` function" ] }, { "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": [ "cts.starplot(cluster)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When manually setting up a cluster, key cluster parameters will not be calculated unless the function ``key_params()`` is called. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "cluster.analyze()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total Number of Stars = 1000\n", "Total Mass = 349.28177634\n", "Mean Mass = 0.34928177634\n", "Mean Radius = 2.45102483757\n", "Maximum Radius = 8.32425911109\n", "Half-mass radius = 1.96178691294\n", "Projected Half-mass radius = 1.50302785137\n", "10% Lagrange radius = 0.733265989776\n", "Projected 10% Lagrange radius = 0.490977522097\n" ] } ], "source": [ "print('Total Number of Stars = ',cluster.ntot)\n", "print('Total Mass = ',cluster.mtot)\n", "print('Mean Mass = ',cluster.mmean)\n", "print('Mean Radius = ',cluster.rmean)\n", "print('Maximum Radius = ',cluster.rmax)\n", "print('Half-mass radius = ',cluster.rm)\n", "print('Projected Half-mass radius = ',cluster.rmpro)\n", "print('10% Lagrange radius = ',cluster.r10)\n", "print('Projected 10% Lagrange radius = ',cluster.r10pro)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, several functions have been written to more easily load a snapshot of a cluster. For example, snapshot 00000.dat could more easily be loaded via:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "cluster=cts.load_cluster('snapshot',filename='00000.dat',units='pckms',origin='cluster')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When using load_cluster, key cluster parameters are instantly calculated." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total Number of Stars = 1000\n", "Total Mass = 349.28177634\n", "Mean Mass = 0.34928177634\n", "Mean Radius = 2.45102483757\n", "Maximum Radius = 8.32425911109\n", "Half-mass radius = 1.96178691294\n", "Projected Half-mass radius = 1.50302785137\n", "10% Lagrange radius = 0.733265989776\n", "Projected 10% Lagrange radius = 0.490977522097\n" ] } ], "source": [ "print('Total Number of Stars = ',cluster.ntot)\n", "print('Total Mass = ',cluster.mtot)\n", "print('Mean Mass = ',cluster.mmean)\n", "print('Mean Radius = ',cluster.rmean)\n", "print('Maximum Radius = ',cluster.rmax)\n", "print('Half-mass radius = ',cluster.rm)\n", "print('Projected Half-mass radius = ',cluster.rmpro)\n", "print('10% Lagrange radius = ',cluster.r10)\n", "print('Projected 10% Lagrange radius = ',cluster.r10pro)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If the columns in your snapshot do not have the format mass,x,y,z,vx,vy,vz,i_d,kw, then use ``col_names`` and ``col_nums`` when using ``load_cluster``" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "cluster=cts.load_cluster('snapshot',filename='00000.dat',units='pckms',origin='cluster',\n", " col_names=[\"m\", \"x\", \"y\", \"z\", \"vx\", \"vy\", \"vz\"],col_nums=[0, 1, 2, 3, 4, 5, 6],)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If the orbital information of your simulated cluster is known, and is contained in a file with columns of time, x, y, z, vx, vy, vz then either the filename can be given to the ``load_cluster`` command using the ``ofilename`` flag: " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "cluster=cts.load_cluster('snapshot',filename='00000.dat',units='pckms',origin='cluster',\n", " col_names=[\"m\", \"x\", \"y\", \"z\", \"vx\", \"vy\", \"vz\"],\n", " col_nums=[0, 1, 2, 3, 4, 5, 6], ofilename='orbit.dat')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, orbital information can be read in and added separately. If the units in ``orbit.dat`` are not the same as ``cluster.units``, one can use the ``ounits`` flag in ``add_orbit``. They will be converted to cluster.units." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0 10000.0 0.0 0.0 0.0 220.0 0.0\n" ] } ], "source": [ "t,xgc,ygc,zgc,vxgc,vygc,vzgc=np.loadtxt('orbit.dat',unpack=True)\n", "cluster.tphys=t[0]\n", "cluster.add_orbit(xgc[0],ygc[0],zgc[0],vxgc[0],vygc[0],vzgc[0],ounits='kpckms')\n", "print(cluster.tphys,cluster.xgc,cluster.ygc,cluster.zgc,cluster.vxgc,cluster.vygc,cluster.vzgc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Loading Amuse**\n", "\n", "If you have run an Nbody simulation with amuse, amuse particle sets can also be loaded:" ] }, { "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from amuse.lab import *\n", "from amuse.units import nbody_system,units\n", "N=100\n", "Mcluster=100.0 | units.MSun\n", "Rcluster= 1.0 | units.parsec\n", "converter=nbody_system.nbody_to_si(Mcluster,Rcluster)\n", "stars=new_plummer_sphere(N,converter)\n", "\n", "cluster=cts.load_cluster('amuse',particles=stars,units='pckms',origin='cluster')\n", "cts.starplot(cluster)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, if you have amuse data saved in an hdf5 file created via AMUSE's write_set_to_file function, you can set the ``filename`` instead of particles." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Loading Astropy Tables**\n", "\n", "\n", "Clusters can be read in from astropy tables aswell. The below example reads in an N-body simulation of Pal 5 in units of ``kpckms`` in Galactocentric coordinates. The snapshot corresponds to Pal 5's most recent pericentre pass." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data = QTable.read(\"pal5_rp.dat\", format=\"ascii\")\n", "cluster = cts.load_cluster('astropy_table',particles=data, units='kpckms',origin='galaxy')\n", "cts.starplot(cluster)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Loading Galpy**\n", "\n", "If you have initiated a collection of galpy orbits, potentially through a galpydf function,\n", "clustertools can convert the orbit instances into a StarCluster" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#From https://docs.galpy.org/en/v1.7.2/reference/df.html\n", "from galpy.df import kingdf\n", "kdf= kingdf(M=2.3,rt=1.4,W0=3.) #Kingdf defined using internal galpy units\n", "sam= kdf.sample(n=int(1e4)) #sam will be an array of galpy orbits, which by default return values in kpc and km/s\n", "\n", "cluster=cts.load_cluster('galpy',particles=sam,units='kpckms',origin='cluster')\n", "cts.starplot(cluster)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Loading LIMEPY**\n", "\n", "If you have initiated a ``limepy`` model, clustertools will call limepys sample routine\n", "to generate a cluster." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#From https://github.com/mgieles/limepy/blob/master/notebooks/00_kingmodel.ipynb\n", "from limepy import limepy\n", "W0, g = 7, 1\n", "k = limepy(W0, g, M=1e5, rh=3)\n", "\n", "cluster=cts.load_cluster('limepy',model=k,units='pckms',origin='cluster')\n", "cts.starplot(cluster)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Loading Nbody6**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To load an NBODY6 snapshot from OUT33 and OUT9 files:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cluster=cts.load_cluster('nbody6',wdir='./nbody6_sim/')\n", "cts.starplot(cluster)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``clustertools`` knows that when reading in NBODY6 snapshots, the units will be ``'nbody'`` units and the origin will be ``'cluster'``. For an NBODY6 simulation with stellar evolution, fort.82 and fort.83 will also be read." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Loading Nbody6++**\n", "\n", "Nbody6++ is also supported, which simply requires a different option for ctype. There is also an option to set ``hdf5=True`` to read in data from the HDF5 files created by Nbody6++. I recomend caution when using ``hdf5=True`` as I have seen different versions of Nbody6++ use different hdf5 formats. ``clustertools`` currently assumes one is using the version at https://github.com/nbodyx/Nbody6ppGPU" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 17, "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('nbody6pp')\n", "cts.starplot(cluster)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Loading Nemo/Gyrfalcon**\n", "\n", "\n", "For a gyrfalcon simulation. the first cluster snapshot can be read in using:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 18, "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('gyrfalcon',filename='cluster.nemo.dat',units='WDunits',origin='cluster')\n", "cts.starplot(cluster)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that since gyrfalcon does not have a default output filename like NBODY6, the filename must be specifified. Furthermore, gyrfalcon's output is a binary file that must be converted to ascii using NEMO's ``s2a`` command before it can be read in by ``clustertools``. Finally, units and origin must be specified, since Gyrfalcon can output data in WDunits or nbody units and the origin can either be the galaxy or the cluster." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Advancing**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In most cases, it is desirable to read more than just the first timestep of a simulation. ``clustertools`` has been set up to easily read in a snapshot, calculate key cluster parameters, and then advance to the next snapshot. An advance can easily be first reading in the cluster:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "cluster=cts.load_cluster(ctype='nbody6',wdir='./nbody6_sim/')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``advance_cluster`` will then move to the next timestep. One can then keep track of properties like time and mass to follow a cluster's evolution." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "t=[]\n", "m=[]\n", "\n", "while cluster.ntot>0:\n", " cluster.to_pckms()\n", " t.append(cluster.tphys)\n", " m.append(np.sum(cluster.m))\n", " cluster=cts.advance_cluster(cluster,wdir='./nbody6_sim/')\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$ \\\\rm Mass \\\\ (M_{\\\\odot})$')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(t,m)\n", "plt.xlabel(r'$ \\rm Time \\ (Myr)$')\n", "plt.ylabel(r'$ \\rm Mass \\ (M_{\\odot})$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the previous case above where the first snapshot had a filename of 00000.dat, ``advance_cluster`` will look for a filename titled 00001.dat. If your filenames have a different naming convention, just specify some of the keyword arguments when loading the first snapshot. For example, if your snapshots are named snap_cluster_001.txt and snap_cluster_002.txt, they can be loaded via:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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