{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Making a mock cluster\n", "\n", "In this notebook, we will run through the utility available in kinesis to quickly make mock cluster observations. Using this, we will examine the perspective effect of cluster mean velocity." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from matplotlib import colors\n", "import pandas as pd\n", "import numpy as np\n", "import astropy.units as u\n", "import astropy.coordinates as coords\n", "import arviz as az\n", "\n", "# project dependencies\n", "import gapipes as gp\n", "import kinesis as kn" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "plt.style.use(['science','high-contrast','no-latex','notebook'])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "np.random.seed(18324)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Making and observing a mock cluster\n", "\n", "First, let's make a cluster with some fiducial parameters." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Cluster(b0=[17.7 41.2 13.3], v0=[-6.32 45.24 5.3 ], sigmav=1.0)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N = 150 # number of sources\n", "b0 = np.array([17.7, 41.2, 13.3]) # pc\n", "v0 = np.array([-6.32, 45.24, 5.30]) # [vx, vy, vz] in km/s\n", "sigv = 1. # dispersion, km/s\n", "\n", "cl = kn.Cluster(v0, sigv, b0=b0)\n", "cl" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The cluster currently has no members. We need to 'sample' the cluster in order to populate it. There are two methods for sampling a cluster:\n", "\n", "- `sample_sphere`: sampling uniformly within a maximum radius\n", "- `sample_at`: sample at exactly the positions you want by giving it astropy coordinates.\n", "\n", "Let's do uniform sphere for now. All normal methods of `Cluster` will return itself with modified attributes for method chaining.\n", "Sampling will modify its `members` from `None` to an instance of `ClusterMembers`." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cl.sample_sphere(N=N, Rmax=5)\n", "cl.members" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two Gaia-like DataFrame associated with `ClusterMembers`:\n", "- `truth`: this is the noise-free Gaia data consistent with the `Cluster`'s internal motions\n", "- `observed`: this is the noise-added Gaia data. If the `ClusterMembers` has not been `observe`d, it will be `None`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's `observe` the cluster. In order to observe, you need to specify the 3x3 covariance matrix for (parallax, pmra, pmdec) with `cov` keyword. If `cov` is (3,3) array, this will be assumed for all stars. You can also specify different covariance matrix for different stars by specifying `cov` to be (N, 3, 3) array. The noise model is assumed to be Gaussian.\n", "\n", "It is also possible to specify covariance by giving another Gaia-like data frame using `error_from` keyword. The following columns needed to construct to covariance matrix are expected: `parallax_error`, `pmra_error`, `pmdec_error`, `parallax_pmra_corr`, `parallax_pmdec_corr`, `pmra_pmdec_corr`. This is useful, for example, if you want to simulate data as noisy as the actual Gaia data you want to model.\n", "\n", "Radial velocity errors should be specified separately with `rv_error` keyword, which should be 1-d array with `N` elements, each specifying the Gaussian standard deviation in km/s. If any element in `rv_error` is `np.nan`, it is assumed that the star does not have RV measurement.\n", "\n", "This will add noise to the astrometry and radial velocities of the cluster members, and the noise-added Gaia-like data frame is now accessible with `cl.members.observed`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's specify simply 0.01 mas or mas/yr errors for parallax and pmra/pmdec and no available RVs." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Cluster(b0=[17.7 41.2 13.3], v0=[-6.32 45.24 5.3 ], sigmav=1.0)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cl.observe(cov=np.eye(3)*0.01)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we have a Gaia-like data in pandas DataFrame in `cl.members.observed`:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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radecparallaxpmrapmdecparallax_pmra_corrparallax_pmdec_corrpmra_pmdec_corrparallax_errorpmra_errorpmdec_error
069.82790815.51943421.594203100.148848-26.1600990.00.00.00.10.10.1
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461.14976317.65350222.384763125.056344-28.2928260.00.00.00.10.10.1
\n", "
" ], "text/plain": [ " ra dec parallax pmra pmdec parallax_pmra_corr \\\n", "0 69.827908 15.519434 21.594203 100.148848 -26.160099 0.0 \n", "1 63.449065 18.338080 20.866021 116.734043 -26.047054 0.0 \n", "2 67.364160 20.868653 21.474773 97.400167 -43.817789 0.0 \n", "3 62.220135 16.061914 20.065537 116.387176 -26.138049 0.0 \n", "4 61.149763 17.653502 22.384763 125.056344 -28.292826 0.0 \n", "\n", " parallax_pmdec_corr pmra_pmdec_corr parallax_error pmra_error \\\n", "0 0.0 0.0 0.1 0.1 \n", "1 0.0 0.0 0.1 0.1 \n", "2 0.0 0.0 0.1 0.1 \n", "3 0.0 0.0 0.1 0.1 \n", "4 0.0 0.0 0.1 0.1 \n", "\n", " pmdec_error \n", "0 0.1 \n", "1 0.1 \n", "2 0.1 \n", "3 0.1 \n", "4 0.1 " ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cl.members.observed.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Perspective effect\n", "\n", "We can use this mock cluster class to quickly verify the perspective effect which arises from the fact that proper motions are motion reflected onto a sphere (the celectial sphere). Since velocity dispersion only adds noise to this effect, let's make another cluster with zero dispersion but still sampling the exactly same star positions as the one we just made using `sample_at`:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cl0 = kn.Cluster([-6.32, 45.24, 5.30], 0., b0=b0).sample_at(cl.members.truth.g.icrs)\n", "df = cl0.members.truth\n", "\n", "fig, (ax1,ax2) = plt.subplots(1, 2, figsize=(8,4))\n", "ax1.quiver(df['ra'],df['dec'],df['pmra'],df['pmdec'])\n", "dpmra,dpmdec = df[['pmra','pmdec']].apply(lambda x:x-np.mean(x)).values.T\n", "ra,dec = df[['ra','dec']].values.T\n", "ax2.quiver(ra,dec,dpmra,dpmdec)\n", "for cax in [ax1,ax2]:\n", " cax.set(xlabel='RA',ylabel='Dec')\n", "ax1.set(title=\"V=(pmra, pmdec)\")\n", "ax2.set(title=\"V=($\\Delta$pmra, $\\Delta$pmdec)\")\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While the overall proper motion is the same (left plot above) because all stars have the same velocity, in detail, they are projections of the velocity at different positions of the fictitious celestial sphere. So if you take out the mean and look at the residual proper motions (right plot above), the pattern is such that they are converging to a certain direction (ra, dec). This converging point is where the velocity vector becomes exactly radial, and the converging pattern is due to the fact that the cluster is receding from us." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At the specified position (`b0`), the radial direction is more or less aligned with the $y$-axis. So if we reverse the sign of our $y$ velocity and make the cluster to be approaching towards us, the residual proper motion now shows diverging pattern as we see below" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cl0 = kn.Cluster([-6.32, -45.24, 5.30], 0., b0=b0).sample_at(cl.members.truth.g.icrs)\n", "df = cl0.members.truth\n", "\n", "fig, (ax1,ax2) = plt.subplots(1, 2, figsize=(8,4))\n", "ax1.quiver(df['ra'],df['dec'],df['pmra'],df['pmdec'])\n", "dpmra,dpmdec = df[['pmra','pmdec']].apply(lambda x:x-np.mean(x)).values.T\n", "ra,dec = df[['ra','dec']].values.T\n", "ax2.quiver(ra,dec,dpmra,dpmdec)\n", "for cax in [ax1,ax2]:\n", " cax.set(xlabel='RA',ylabel='Dec')\n", "ax1.set(title=\"V=(pmra, pmdec)\")\n", "ax2.set(title=\"V=($\\Delta$pmra, $\\Delta$pmdec)\")\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This figure should also make you wonder, what if the cluster is contracting or expanding?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Degeneracy between perspective effect and isotropic contraction/expansion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Indeed, if we only have proper motions, we cannot tell the difference between the (istoropic) contractiong/expansion of the cluster and the perspective effect due to radial velocity. We show this below by making another mock cluster that looks the same in terms of their (residual) proper motions but that is actually stationary in the radial direction and instead contracting." ] }, { "cell_type": "code", "execution_count": 165, "metadata": {}, "outputs": [], "source": [ "def make_equivalent_cluster(cl):\n", " '''\n", " Make a cluster that has zero RV (not receding nor approaching)\n", " but is either expanding or contracting, resulting it to appear equivalent\n", " in terms of observed proper motions.\n", " '''\n", " import astropy.coordinates as coord\n", " b0, v0 = cl.b0, cl.v0\n", " c = coord.ICRS(*(b0*u.pc), *(v0*u.km/u.s),\n", " representation_type='cartesian',differential_type='cartesian').spherical\n", " print(c)\n", " print(c.differentials['s'])\n", "\n", " v0_rv0 = coord.ICRS(\n", " c.lon,c.lat,c.distance,c.differentials['s'].d_lon*np.cos(c.lat),\n", " c.differentials['s'].d_lat).velocity.d_xyz.to(u.km/u.s)\n", "\n", " rv = c.differentials['s'].d_distance\n", " kappa = rv.to(u.km/u.s).value / c.distance.to(u.pc).value * 1000.0\n", " print(kappa)\n", "\n", " \n", " cl_rv0 = (\n", " kn.Cluster(v0_rv0.value, 0.,\n", " b0=b0,T=np.diag([-kappa,-kappa,-kappa]))\n", " .sample_at(cl.members.truth.g.icrs))\n", " return cl_rv0" ] }, { "cell_type": "code", "execution_count": 170, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(66.75107646, 16.52048667, 46.77200017) (deg, deg, pc)\n", "(111.32538582, -27.19257586, 38.96591964) (mas / yr, mas / yr, km / s)\n", "833.1035554621004\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cl0 = kn.Cluster([-6.32, 45.24, 5.30], 0., b0=b0).sample_at(cl.members.truth.g.icrs)\n", "df0 = cl0.members.truth\n", "cl_contracting =make_equivalent_cluster(cl0)\n", "df = cl_contracting.members.truth\n", "\n", "fig, ((ax11,ax12),(ax21,ax22)) = plt.subplots(2, 2, figsize=(8,8),sharex=True,sharey=True)\n", "\n", "ax11.quiver(df0['ra'],df0['dec'],df0['pmra'],df0['pmdec'])\n", "dpmra,dpmdec = df0[['pmra','pmdec']].apply(lambda x:x-np.mean(x)).values.T\n", "ra,dec = df0[['ra','dec']].values.T\n", "ax12.quiver(ra,dec,dpmra,dpmdec, )\n", "\n", "\n", "ax21.quiver(df['ra'],df['dec'],df['pmra'],df['pmdec'])\n", "dpmra,dpmdec = df[['pmra','pmdec']].apply(lambda x:x-np.mean(x)).values.T\n", "ra,dec = df[['ra','dec']].values.T\n", "ax22.quiver(ra,dec,dpmra,dpmdec, )\n", "ax11.set(title=\"V=(pmra, pmdec)\")\n", "ax12.set(title=\"V=($\\Delta$pmra, $\\Delta$pmdec)\")\n", "ax11.set(ylabel=\"recedeing cluster\")\n", "ax21.set(ylabel=\"contracting cluster\");" ] }, { "cell_type": "code", "execution_count": 175, "metadata": {}, "outputs": [], "source": [ "# check the individual values of stars at the same position are actually the same\n", "assert np.allclose(df['pmra'].values,df0['pmra'].values)\n", "assert np.allclose(df['pmdec'].values,df0['pmdec'].values)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see from comparing plots on the top row (the default receding cluster) and the bottom row (stationary in distance but contracting), in terms of astrometric parameters, the two are indistinguishable. In other words, there is a degeneracy between radial component of the mean velocity and the isotropic expansion/contraction.\n", "\n", "However, if we have precise radial velocities even for some of these stars, we may hope to break that degeneracy and constrain the internal motion of the cluster.\n", "\n", "On the other hand, if we are willing to assume that there is no expansion or contraction, we can back out the radial component of the cluster's mean velocity from proper motions. This _astrometric_ radial velocity is purely from geomeric projection effect as opposed to spectroscopic ones that are derived from the Doppler shift of spectral lines." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Effect of internal velocity gradient" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So what if the cluster is rotating around $z$-axis? What effect would it introduce to the observables?\n", "\n", "We can again make another mock cluster sampling the same positions but this time giving it a little rotation of 300 m/s/pc." ] }, { "cell_type": "code", "execution_count": 195, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cl0 = kn.Cluster([-6.32, 45.24, 5.30], 0., b0=b0).sample_at(cl.members.truth.g.icrs)\n", "df0 = cl0.members.truth\n", "clrot = kn.Cluster([-6.32, 45.24, 5.30], 0., b0=b0, omegas=[0,0,300.]).sample_at(cl.members.truth.g.icrs)\n", "df = clrot.members.truth\n", "\n", "fig, (ax1,ax2,ax3) = plt.subplots(1, 3, figsize=(12,4))\n", "ax1.quiver(df['ra'],df['dec'],df['pmra'],df['pmdec'])\n", "dpmra0,dpmdec0 = df0[['pmra','pmdec']].apply(lambda x:x-np.mean(x)).values.T\n", "dpmrarot,dpmdecrot = df[['pmra','pmdec']].apply(lambda x:x-np.mean(x)).values.T\n", "# take out perspective effect exactly\n", "dpmrarot1,dpmdecrot1 = (df[['pmra','pmdec']] - df0[['pmra','pmdec']]).values.T\n", "\n", "ra,dec = df[['ra','dec']].values.T\n", "\n", "ax2.quiver(ra,dec,dpmra0,dpmdec0,scale_units='inches',scale=60, color='gray')\n", "ax2.quiver(ra,dec,dpmrarot,dpmdecrot,scale_units='inches',scale=60, color='k')\n", "\n", "ax2.quiver(ra,dec,dpmrarot1,dpmdecrot1,scale_units='inches',scale=60, color='C2')\n", "ax3.quiver(ra,dec,dpmrarot1,dpmdecrot1,scale_units='inches',scale=20, color='C2')\n", "\n", "for cax in [ax1,ax2,ax3]:\n", " cax.set(xlabel='RA',ylabel='Dec')\n", "ax1.set(title=\"V=(pmra, pmdec)\")\n", "ax2.set(title=\"V=($\\Delta$pmra, $\\Delta$pmdec)\")\n", "ax3.set(title=\"V=($\\Delta$pmra$_{-0}$, $\\Delta$pmdec$_{-0}}$)\")\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the middle plot, we see that such small rotation will only deflect the residual proper motion slightly from the one without the rotation (perspective effect only; gray arrows) by the little red arrows. In other words, the vector some of gray and red arrows give our observed proper motion (black arrows).\n", "\n", "If we separate out the perspective effect and only look at the effect of rotation (the right plot above), we can see the anti-symmetric pattern distinctive of rotation more clearly. The right quiver plot is made with 1/3 scale length of the middle to highlight these small vectors.\n", "\n", "It's clear that the relative importance of the perspective effect of the mean velocity versus any internal velocity gradient (shear or rotation) depends on the cluster parameters." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.10" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 4 }