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September 23, 2025 00:02
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 37, | |
| "id": "ac89405c", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import pathlib\n", | |
| "import astropy.coordinates as coord\n", | |
| "import astropy.table as at\n", | |
| "import astropy.units as u\n", | |
| "import gala.dynamics as gd\n", | |
| "import matplotlib as mpl\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import numpy as np\n", | |
| "from pyia import GaiaData\n", | |
| "\n", | |
| "%matplotlib inline" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 30, | |
| "id": "ce6bde80", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "WARNING: UnitsWarning: 'log(cm.s**-2)' did not parse as fits unit: 'log' is not a recognized function If this is meant to be a custom unit, define it with 'u.def_unit'. To have it recognized inside a file reader or other code, enable it with 'u.add_enabled_units'. For details, see https://docs.astropy.org/en/latest/units/combining_and_defining.html [astropy.units.core]\n", | |
| "WARNING: UnitsWarning: 'dex' did not parse as fits unit: At col 0, Unit 'dex' not supported by the FITS standard. If this is meant to be a custom unit, define it with 'u.def_unit'. To have it recognized inside a file reader or other code, enable it with 'u.add_enabled_units'. For details, see https://docs.astropy.org/en/latest/units/combining_and_defining.html [astropy.units.core]\n", | |
| "WARNING: hdu= was not specified but multiple tables are present, reading in first available table (hdu=1) [astropy.io.fits.connect]\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "data_path = pathlib.Path(\"~/data\").expanduser()\n", | |
| "tmp1 = at.Table.read(\n", | |
| " data_path / \"APOGEE/DR17/allStar-dr17-synspec-gaiadr3-gaiasourcelite.fits\"\n", | |
| ")\n", | |
| "tmp2 = at.Table.read(data_path / \"APOGEE/DR17/allStarLite-dr17-synspec_rev1.fits\")\n", | |
| "apogee = at.join(tmp2, tmp1, keys_left=\"APOGEE_ID\", keys_right=\"apogee_id\")\n", | |
| "apogee = at.unique(apogee, keys=\"APOGEE_ID\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 31, | |
| "id": "0f2f8e6a", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "g = GaiaData(\n", | |
| " apogee, radial_velocity_colname=\"VHELIO_AVG\", radial_velocity_unit=u.km / u.s\n", | |
| ")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 33, | |
| "id": "fb95c060", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.lines.Line2D at 0x1113abcb0>" | |
| ] | |
| }, | |
| "execution_count": 33, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 432x432 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "image/png": { | |
| "height": 440, | |
| "width": 440 | |
| } | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig, ax = plt.subplots(figsize=(6, 6))\n", | |
| "bins = (np.linspace(2500, 8000, 128), np.linspace(-0.5, 5.5, 128))\n", | |
| "ax.hist2d(\n", | |
| " g[\"TEFF\"],\n", | |
| " g[\"LOGG\"],\n", | |
| " bins=bins,\n", | |
| " norm=mpl.colors.LogNorm(vmin=0.5),\n", | |
| " cmap=\"Blues\",\n", | |
| ")\n", | |
| "ax.set(xlim=(bins[0].max(), bins[0].min()), ylim=(bins[1].max(), bins[1].min()))\n", | |
| "\n", | |
| "ax.axvline(3500)\n", | |
| "ax.axvline(6500)\n", | |
| "ax.axhline(4)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 69, | |
| "id": "de0a20a3", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "np.int64(183674)" | |
| ] | |
| }, | |
| "execution_count": 69, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "main_seq_mask = (\n", | |
| " (g[\"TEFF\"] > 3500)\n", | |
| " & (g[\"TEFF\"] < 6500)\n", | |
| " & (g[\"LOGG\"] > 4)\n", | |
| " # & (g[\"SNR\"] > 40)\n", | |
| " # & (g[\"STARFLAG\"] == 0) # quality cut\n", | |
| ")\n", | |
| "main_seq_mask.sum()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 70, | |
| "id": "0ce3eeb5", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.lines.AxLine at 0x338fef2c0>" | |
| ] | |
| }, | |
| "execution_count": 70, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
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| |
| "text/plain": [ | |
| "<Figure size 504x360 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "image/png": { | |
| "height": 368, | |
| "width": 512 | |
| } | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "mask = main_seq_mask\n", | |
| "\n", | |
| "fig, ax = plt.subplots(1, 1, figsize=(7, 5), layout=\"constrained\")\n", | |
| "ax.hist2d(\n", | |
| " g[\"FE_H\"][mask],\n", | |
| " g[\"MG_FE\"][mask],\n", | |
| " bins=(np.linspace(-1.5, 0.8, 101), np.linspace(-0.3, 0.5, 128)),\n", | |
| " norm=mpl.colors.LogNorm(vmin=0.5),\n", | |
| " cmap=\"Blues\",\n", | |
| ")\n", | |
| "ax.set_xlabel(\"[Fe/H]\")\n", | |
| "ax.set_ylabel(\"[Mg/Fe]\")\n", | |
| "\n", | |
| "ax.axline((0.5, 0.1), (-0.5, 0.18), color=\"C2\", lw=2, ls=\"--\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "ff6336f3", | |
| "metadata": {}, | |
| "source": [ | |
| "Define a very simple high-alpha / low-alpha cut:" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 71, | |
| "id": "8267d8b8", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "xy1 = (0.5, 0.1)\n", | |
| "xy2 = (-0.5, 0.18)\n", | |
| "_slope = (xy2[1] - xy1[1]) / (xy2[0] - xy1[0])\n", | |
| "\n", | |
| "x = g[\"FE_H\"][main_seq_mask]\n", | |
| "y = g[\"MG_FE\"][main_seq_mask]\n", | |
| "\n", | |
| "high_alpha_mask = y > (_slope * (x - xy1[0]) + xy1[1])\n", | |
| "low_alpha_mask = ~high_alpha_mask" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "9a5ff16c", | |
| "metadata": {}, | |
| "source": [ | |
| "Get coordinates for main sequence stars:" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 72, | |
| "id": "9574ed47", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "WARNING: negative parallaxes are converted to NaN distances even when `allow_negative=True`, because negative parallaxes cannot be transformed into distances. See the discussion in this paper: https://arxiv.org/abs/1507.02105 [astropy.coordinates.distances]\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "c = g[main_seq_mask].get_skycoord()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 73, | |
| "id": "9fd0153a", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "galcen = c.transform_to(coord.Galactocentric())\n", | |
| "w = gd.PhaseSpacePosition(galcen.data)\n", | |
| "\n", | |
| "R = w.cylindrical.rho\n", | |
| "v_cyl = np.stack(\n", | |
| " (\n", | |
| " w.cylindrical.v_rho.to(u.km / u.s),\n", | |
| " (w.cylindrical.pm_phi * R).to(u.km / u.s, u.dimensionless_angles()),\n", | |
| " w.v_z.to(u.km / u.s),\n", | |
| " ),\n", | |
| " axis=0,\n", | |
| ")\n", | |
| "v_cyl[1] += 229 * u.km / u.s # subtract circular velocity\n", | |
| "\n", | |
| "# Compare to UVW in LSR:\n", | |
| "UVW_lsr = w.v_xyz.to(u.km / u.s)\n", | |
| "UVW_lsr -= galcen.galcen_v_sun.d_xyz[:, None] # to LSR" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 78, | |
| "id": "2cc0f6d6", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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| |
| "text/plain": [ | |
| "<Figure size 864x432 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "image/png": { | |
| "height": 440, | |
| "width": 872 | |
| } | |
| }, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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s5ffZZ5902223pdlnn73VywoAANAe9EADAACYDi2wwALpqaeeSg8++GAaNmxYGj9+fBYYK1ekcnzuuefSGWec0arlBAAAaA8CaAAAANP5eGgxNcXCCy+c9WIDAADobKRwBAAAoNrqq6+eJk2a1N7FAAAAaFcCaAAAAFSLtIwffPBBexcDAACgXQmgAQDQZIVC6Qno2O699972LgIAAEC7EkADAACghrPOOit9/PHH7V0MAACAdtM1tbOJEyemBx98MI0cOTIVCoW07LLLpg022CB17Tpt0b788st05513piWXXDIttdRSaa655mqXMgMAAHRmX3zxRRo0aFC68cYb06qrrtrexQEAAJi+eqD94x//SPPPP3/aeuut02GHHZYOP/zwtOmmm2bP/f3vf59m/u7du6eff/453XLLLWmdddZJffv2TWussUa7lB0AAKCzisaNkyZNSuuuu246+uij0/fff9/eRQIAAJg+AmjHH398OuCAA9JXX32VVc7y09ixY9OBBx6YNt988zRhwoTqZXr16pX222+/dPHFF6dbb701jRs3LhvgurEmT57cwnsDAADQeZxwwglp9OjR6bXXXkvvvfdeWmKJJdIVV1yR1dcAAACmB+0SQHvmmWfSGWeckWabbbZ03HHHpWHDhqV33nknvfzyy2nIkCFpu+22y1I4Dh06NEvn+O23306zjhlnnLHJ249WlDfccEOdr48aNSpNmTIlVZIIKjaUYgUAoK1VVZWegI5t5513zv5fbLHFssaLN910U5ZBZOWVV87qb9ML9TCg0kQ7hlITANBJxkCLHmQDBgzIAmSzzjprjddWWGGFtOOOO2ZBrEMOOSTdfffd6Ve/+lV6+OGHU+/evVtk+4888kj64x//mB599NGsEjjDDDPUeD22GWWMXnAHHXRQai2xjT59+qRdd9213vneeOONLMVlBP7WWmuttMgii2TpLCONSrQKjYBk9MY77bTTUrdu3epcTwQFYwy52O+qqqrs8eyzz5522GGHbOw5AACAwYMHp4UWWqjGc+utt156/vnn01VXXZV22mmnrD533nnnZQG2jkY9DAAAqNgA2lNPPZUFsWoHz/KichKVjOiRFqkeN9lkk/TAAw9kaRyba6aZZkqXX355NtZapJCM3mhRESqKoFkE7aJS+Pjjj2djrkVFp6VbMsYx2GabbcpKOTl16tSswhVTbTG498knn1xvpW3ixInpmGOOySprJ510Utb7LwwfPjwdddRRaZ999klbbrllM/cKAADo6G6++eaSz0edaK+99kq//e1v0+mnn55WWWWV9Pvf/z5L99hSjR1bm3oYAABQ0SkcZ5555ixAVm7qkGjZ9+WXX2ZBrWjh1xJef/31LI9/VFh+97vfTTMu2tJLL51Vhm677bZ0zjnnpJYSYwbEths7EHe/fv3Saqutlnr06JH1mJtzzjnTOuusk84666x07LHHZse0vm3+5S9/SW+99VaWMrNYaQsRJIwK8CWXXJIFNgEAAOrTs2fPLCX/q6++msaMGZPVqyKzRwSbKpV6GAAA0CF6oEXlozEimBUt9GJstEifEekcmyPGWtt4442zNI7x/6RJk7L0Hddff32Nnma//vWv0+GHH57++c9/pj/96U/N2uZ//vOf9PTTT2cBwAkTJmQBwcaYa665skpqU8TxeuKJJ9Iaa6yRVfhqi95911xzTTr33HPTddddl1WIAQAA6hNpHmNstCeffDJLdfj3v/89/fWvf02//OUvU6VQDwMAADpUD7ToSXb11VdXP37//ffT+eefnz744IM6l4l0j5HCMQJoa6+9dvrwww+bldO/2KMtRMqMmP7whz/UmO+HH37I/m9sJauUCP7FGAFXXHFFtq9tJVKFRBrMsPzyy5ecJ/LvzzfffGn8+PFZjzsAAIByxfhgzz77bDryyCPTnnvumTbffPP07rvvpkqgHgYAAHSoAFqkzYjKS7S2C5tttlk64ogjsv/rEykzYsDn6BUWaReb6uuvv87+X3jhhaufi/Utt9xy6c9//nP1c//73/+y/2NQ6I4qett98skn2d+1BwLPK6bUvO+++9qsbAAAQOcRWT0icLbqqqtmKQoPOeSQ9M0336TpkXoY0FoicVKpCQDoJAG0GGD63nvvTZdddllaaqml0ogRI7L88D/++GNZy8e4ZdFCL1rsNbViF958880azx9wwAHZANAxIHZ48MEHs9aKBx54YKoEX3zxRbr00kvTKaeckg466KC0ww47ZK0877///qyFYynPPfdcjfz9dZlnnnmqe9uNGjWqFUoPAAB0BJGGsaliTLAYSzrGG4u6xZJLLpk1gqyrvtIRqIcBAMD0qV3GQAsLLLBANlhyBKmGDRuWpa2IwFi5IpVjVEqako8+BnIeOXJk1iIyAnEx6HXRSSedlPVwi0pftJY89NBDG73+1hCDc8cA01FhKwYOI49/7EsE+eI4nnrqqdPkzY+Ka1Hfvn3rTZGZX6bYErI+I0a8l7bctOnjG9w99KEmLwsAAHVpzm/U+I2brx9MjyI4tMcee9Rbf2jI/PPPn6UwjNSOxfHRot7SUNaRSlNp9TB1MAAAKtGWnbQO1i490PJiHLIzzzwzq5SssMIKjVo2UjBGL7bG6t69e7rzzjuzlpXvvffeNK9HRWjSpElp+PDhFZO7P3rnRTAv3+uuT58+6bjjjku9evVKr732Wjb4dG1fffVV9d8zzTRTvS1FSy0DAABMXyI7SEuMAx1WX3319OSTT2ap8nffffe0ySabpLfeeit1FOphAAAw/Wq3HmiV4Je/rDsqGmkcF1988fSb3/wm3Xjjjdn4aO1lxhlnTMsss0yN1olF0dJxvfXWS/fcc0964okn0ttvv52WXnrp6tejdWR+PfVto+jbb78tq1yLL76EFowAAFSc5vxGHTigf4uWpaOK8aBLtQKdOnVqNqZ0BHvi//zfpZ4r/v39999ngbmHHnoorbjiiun3v/99lhKxqWn5p9d6mDoYAACV6O5OWgebrgNoDYm0JWussUY6/vjj03/+8592K0dU2k444YQ6X49x5KLiFqJ1Z77iFr3tfv755+rK7gwzzFByHfFaOS0kAQCAzu+II47I0hN+9913NYJh8bgxImhWVFVVlf0/efLkbEyxaKgYKfn322+/VInUwwAAYPomgFZGpak9g2fFimbtnPp5s802W/XfH330UY3XIt9+tPYMkZYynyIkL14rKtXCEgAAmH7EGNW33npryUBYbcXAWF6p+fPPxd/R4yrGW6vUAJp6GAAATN86bABtwoQJ6frrr0+vvvpq6tKlS+rXr1/6xS9+kQYMGJDmmWee1JlE5TL2MypwpcaJy1dY8xWw4uDdxcpcVILrqrjlW5IusMACLVh6AACgIyrVe6yhwFgEnCItY0wRYCr+Xdc099xzp0qlHgYAANO3DhtA23TTTbM0GaUsuuiiabPNNktbb711GjRoUMkWkR1JDEod6VNCDGAd+5aXz5U/55xz1nitf//+6emnn87+joHA55prrpLbKA5YHalFVlpppRbfBwAAoOOIgE9+DLQ333wzTZkyJe28885Zlo66AmLdunVLnYV6GAAATN+6pA4qBmnOtwzcZJNN0i233JKGDRuWTjvttOz5fffdNy244ILp2GOPTR9//HHqiMaOHVtdaQujRo2aZp5vvvmm+u/aA32vueaaWQ+9UN8xKLaOjAG960tTAgAAdH433HBDeumll2pM66yzTrrrrrvSjDPOmHbfffe07bbbpvXWWy8tt9xyWRaQzhQ8Uw8DAAA6bADt9NNPzyokMdDy3//+93Tvvfem3/zmN2nddddNO+ywQ7rwwgvTu+++m/7973+nzz//PC277LLp4IMPrtFKsCOIgbqL5p133rTNNttMM8/LL7+c/R/HYoMNNqjxWrR03HDDDbO/33nnnZLbiJak7733Xvb3Tjvt1KLlBwAAOp7VVlutxuOoT0VjxUsuuSSdd9552eM77rgjdVbqYQAAQIcNoP3+979PI0eOTCNGjKh30Ok11lgjXXHFFVml5YcffshaRz766KOpo4jKWteuXVPv3r3TP/7xj+xxXgxMXay47bXXXqlHjx7TrGOXXXbJnh8+fHjJMQti+Z9++ikNHDiwZG5/AGhp8XVUagKg/UWdo2/fviVfi0BP1K0ipf7gwYOzwNErr7ySOhv1MAAAoMMG0IqDLEeqkHL069cvXX755emqq67Keqjdeuutqb1MnDixzsGma4sK25Zbbpl+/vnnkq9fffXV2Wubb755NuZbKXGMjj/++CwNydChQ6dp9ThkyJBs3LijjjqqSfsDAAB0HmPGjMl6VdWlV69e6aKLLkrPPfdcFgBaddVVswaOkfmjkqmHAQAAjVFVKNUUrpEilWJVVVVWCegIIn//r371q/TEE0+kpZZaqk22+Z///KfGINKffPJJ9ndUTCNffhy/aOF41llnTbNsHNcI/r322mtZS8+55547/fjjj+mRRx7J0lRGy8Z4viHPPvtsVtFde+21swGqo0fePffck7WKPOKII+psZVpKDIodZ85Tw19o1HEAgFDXr4+qqrYuCUBNAwf0z65FL7zQcX7ntnd97Morr0zHHHNMFqCK/w877LCKGQ+tM9XD1MEAAOiMBlZwHWy6DKCFM888M6sIxeDYHUUMUv3iiy+mL774Is0888xZD7wYbHqGGWYoex1RqX3++eezwaqjUhupQhZffPFGl0XlDYDmEEADKlUlV94quT4WdZWjjz46C6ZFPeXss8/OUjx2BpVSD1MHAwCgMxpYwXWw6TaA9sEHH2QDY0cliMZTeQOgOQTQgEpVyZW3jlAfi/G+/vCHP2Tje8XYXhdccEFWd6D51MEAAOiMBlZwHaxDj4EWPciicrbFFluk4447Lr311ltlLxtpOsaPH9+q5QMASosfRqUmmJ7FjfHaE7SHnXbaqcnBuAEDBmQ9rSJl4RtvvJFWX331tPvuu1enTgT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Q6g2wIkJ+t49WuAscb0E+X2rHNgCUs3C5Pu1YX1/f9rO9EXb44Yebv//97y7v2vTp082DDz5oTjzxRDNq1CgXBKZSKfPRRx+ZW2+91RxxxBFmzTXXdG+vbbrppu4zAAAAAFAubLz0+OOPuxthq666qrt5Zv+Y2dTU5Ovzv/nNb8zDDz9s+vTpU/S2AgAAAEDFvIHWEU872hthmuWWW878+te/dl+WDRLfeOONtjfU7JCRdqhI+2X/rb4BAAAAAAAlaujQoS4/9dNPP21eeOEFl3Pa3hjzyz7c+NZbb5k///nPRW0nAAAAAHSGUCbIO9MKO/yhvclk3+Ly67vvvjPjx493wyNmn3YcPny4mTp1qq/Pv/zyy2b33Xc3c+bMCTRfP2xbbH40e/Psn//8pxsKstDzKHUjR450r7W/9uY7nd0UAKi4IRzFS7f2rIf/0VlMShgGJSIMc/hzFdLwh/6HUQmryyZX0RWHcAwywibP4gClY8z6I90x+847pdPPXZZ4DKWHGKxyMYRjYealllXHIRemFWLIyTwrKcQQjtJkNfYIMIRjoHrzjWk0AWIPuV3lcbwBQCkZ04VjsE55A62rP+1oL+5rr722+zr66KPNkCFDCj4PAAAAAAAAAAAAdE2ddgMtNx+a/VoWyy+/vBvOsdgGDx5c9HkAADqP+FaY9pRjyP9TpNLTmkGeXEym0/7fbFOSaMciYd9PrUbDYd9vzEnLpr2tJtHqlZ4OLcgTxD6bFmT7BGlXIZaXp14BdJR//OMfZq+99ursZgDoQn2AIP2TYvVl8h8/SWmv3OUOlM5D6oOmUtqbYv6mabSy0nQlnBDXZThAP1of9UGoN6TFE8KsAsRg2rJJIUkh4okgbw521bctu8K5BABKjfcvZfAYPXp0ZzcBAAAAADqEzTc9a9aszm4GAAAAAHQqbqD5cN1113V2EwAAAACgQ9g3ladNm9bZzQAAAACAyh7CcVk1NDSYe+65x3zwwQcuafaAAQPML37xC7P++uubgQMHdnbzAAAAAKBk2VzVNic0AAAAAFSqkr2Btv3225tXX31V/N0KK6xgdthhB7PrrruazTffPNC41QAAAABQ6a644go3lCP5oAEAAABUqpIdwvGzzz5bbIiR7bbbziW7fuGFF8wFF1zgph955JFm2LBh5qyzzjI//PBDJ7YWAAAAAErHTz/95N5AO+2008xzzz1nmpubO7tJAAAAANChSvYNtAsvvNAcc8wxJh6Pm8svv9wcddRRi/1+/Pjx5uqrrzaTJk0yt9xyi1ljjTXMwQcfbM477zzTs2fPTms3AFSqTEae3hVeEg4LjVCaazLCb9LKwkXC3nqTKbmsUNSEjLxyUumMr3lpZaVlcG0Isn0y/rexOC+lYm1dym0I+V5n4ryEdRPkrfUg+67WLml5tXWD8j8XAV1NbW2tue2228yll17q4q7Ro0ebsWPHulE+Nt54Y1NTU9PZTQTQQddK7ToZpOtWrH6P1rcVy6aFiUoTkilv4Ugk5Hs9aGXFfrTJn7R+g2y3cIB4Qttu0rZIKfGP1O8OEnto8Y99yN4zLZT/Gg6yr0vLUaw+KH1YACiukn0D7YgjjjBfffWVmTJliufmWa4NN9zQ3UD7/PPPTWNjo1lzzTXNiy++2KFtBQAAAIBScvjhh5vvvvvOzJw503z00UfmyiuvNEOGDDG333672Xbbbd1DifYmmh3t45lnnnGxFgAAAACUk5J9A80aOnSo77IDBgwwN998s0uGbd9Ou/76683uu+9e1PYBAAAAQCk6+uij2362o3nYr+w0+xDjSy+9ZF5++WVz7733mosuusjEYjEzcuRI93aafUttk002Md26devEJQAAAACACr6Btizs05JPPvmk+27fRlt11VU7u0kAAAAA0GWEw2EzfPhw9fcrrbSS+zrssMPcv7/99tu2G2oPPfSQufjii90NNfuG2h577GEOOOAA07179w5cAgAAAACo4CEc87Huuuuak046yeVDAwAAAAD8zwcffGB69erlu/ywYcPcTTI74ocdOn/atGnmzjvvNCNGjDDnnnuuWX755d1NtVQqVdR2AwAAAEAhhTJSds1leELRJv8spYDo66+/dkmw7Zj+CM4Oz2L3nNfefKezmwIAeSc/TwuJsbVk4mK9WhukeSmX3ZBQi5YQXUrkHdEWLuRvXoVIQK0mEw+w0sT1oKwzKdG5tn79zqtYgqzbQiQYD7L/F0u+bShWonVgacasP9LtZ++8Uzr93K4cjyUSCXPrrbe6YR779+9v7rvvPvf2GoIjBiu+Yl17gvzVpSOvc1q/SerTacsg9VcL0deU2qbVK7VB65eKy6wsmxgiKMsgzS+ZSotl7fnab71Se6Nh/8/CB+kbBxEk/tHKpoS2RYT+vZUWVqVSNBBpWwQ5LorVt+3ocxH9awCdbUwXjsFK+g20Dz/80I3Dv9NOO5mzzz7bfPrpp74/G41GzcKFC4vaPgAAAACoZHYox6OOOsp88skn7gHGMWPGmHfffbezmwUAAAAA5ZsD7dVXXzVbb721aW1tdf+eMGGCe6pxgw02MIceeqjZc889TY8ePdTP2zxoAwYM6MAWAwAAAEBl6tatm7n++uvNqFGjXD7qiRMnko8aAAAAQJdWsjfQTjvtNPe9b9++ZtasWW3DO73xxhvu69hjjzVjx44148aNMxtuuKFZbbXV3A21H3/80Tz44IPmnHPOMb/61a86eSkAAAAAoHLYhx3tkFm77rqreeutt0xdXV1nNwkAAAAAyusG2vvvv++SW6+88spmzpw57g00O57+U0895cb+t2+mPfvss+5LYoO24447rsPbDQAAAACV7JBDDjGvv/66ufDCC90oIgAAAADQFZXsDbR+/fqZ5uZm93Pv3r3Nfvvt575++uknc9ddd7kvmyNNu3l28cUXu+EeAQCFJyVe1hJ55ytIImQ1ibbUtPyLBktSbvwn0c7kuSrVvONC21JS9nQl4baUwP3nwv7bJs1PSxCeEBKzRwLsZ5lQfknVtUT2+Sq1JN5Fyk1ftKTsAJZuzTXXNO+9957LG10s9ubZWmutZY4//ngzcODAos0HCKJY141yvrZL/SFteYPECEH6WVJZrQ+bb5yilZT6pVq10nRtnUtty47AtCRpkYPse8mUXG80IqxfpQ1SX1wrKwpQVNnEInVbCNO0/UHad7TVK9XRFc4DXaENAFBqoqX81OLpp59uHnvsMROJRNqmL7fccuaUU05xX1988YV54YUX3JtqP/zwg3srzb6xdsABB7ix9wEAAAAAi/vkk09MY2Ojqa+vL+oDkbvttpsbReSkk04q2nwAAAAAoOJuoJ1xxhlmr732MmPGjDFXXnml+76kVVZZxX11Vddee63Ly3bggQf6Kj9//nxz//33u+Er4/G4uyFol8++eWcDUD+eeeYZN9ylHeYynU6b2tpas8cee5jRo0fnuTQAAAAAysXChQuLegPNsnnQ7BCOHXkDjRgMAAAAQNnfQLPDiTz88MPm9ttvN7vvvrtZddVVzfjx492XHdKxq5sxY4Z5/vnn3VOXfnz//ffm1FNPNRtttJG56qqrXPBmAzD7xOaRRx5pLrjgArPGGmuon7eBmg1Op0yZ4soOHjzYTf/888/NWWedZbbffntz2GGHFWz5AAAAAJSub7/9ti1mKBZ7I8rGJx2FGAwAAABAEFoWlJIaynHy5MnuCUD7ZOAtt9xiujI7VvVHH33khp9ctGiRr88sWLDABVh1dXXm2GOPdYGbZYeu3H///d2wlH/4wx/M9OnT1Tr+9re/mRdffNH8/ve/XywQtjcejzrqKLfuHn300QIsIQAAAIBSZ4fEtzeb7BtXxWLfcJszZ44pNmIwAAAAABV5A82yQc0RRxxhXnrpJRecdEUPPvigOfnkk107bcLs7777zvdnb7rpJjNt2jSz7bbbmnDYu8nGjRtn5s2b54aylNgccPZtveWXX96svvrqnt+PHTvWDSNiA7z2AkAAAAAAlWHSpElmm222ccMd2njhnHPOMc8++6zLjVbIt9xsDutiIQYDAAAAUJFDOJYaO8a9/bJ+/PFHc8ABB/j6nA3abKBqrb322mKZ7PR3333XBWpLlrvzzjvd97XWWkv8fCwWM6uttpr5z3/+Y+655x73tCmAypDJeKeFQvmXDWu/6GRau9LSwimkkgE+roqEvW1LpzN5r1+hWpNS6o0I9UYi8rxCxjs9I66dYOtHXDRlcaX2miDz0ioWSMtm32hQKhbKGt/bUq22SIdVkGO7s9ulza+LnnKAkmfPcy0tLWbixInu689//rMbSn+99dYzm222mbsJtMkmmyxzrrQHHnjArLTSSqZYiMFQif3zILS+kNTvCdJvUkntDVBtkL6m1Ld20vnNL5UJ0JdXNlCQ7SaWVWMw7zSl2y8um/CswM91CJVoi5AQymrbQuxfB9z2Eql/rR5DYh9fLivVocVlUh3aMgRpr7RPBYlxu2qcDgBdWVm8gVbOnnzySTfOfigUMsOGDRPL9O3b13Tv3t39/Pjjj3vG7bcJry379KNmxIgR7rsdpqWpqamASwAAAACg1OQ+JJD92X5PJBLmzTffNJdddpnZeeedTZ8+fdwNtd/97nfmkUceMbNnz/ZV/2uvvWauueYas9dee5muhhgMAAAAgMUbaF3c22+/7b7boVNqamrUcgMHDjQLFy50TzDawNYGe7mftwYMGNDu5y0bENtgb8MNN1xq26ZMmWx23n4bs6z+NeGZZf4sAAAAoMmnj2r7uDa/VaW77bbbXPzw8ssvuzxeNq5IJpPud9l4w363N5ps/GC/7A0xyw5ZmH07bdSoUYutT3tzydZ98cUXuxtQe++9t+lqiMEAAACAYMo1BuMGWhdmn0KcMmWK+7lnz57tls3+3o7Db3MJDB8+3P37ww8/9JRp7/PZz/gJ3gAAAACUJ5v7a9CgQWa77bZz/7a5z+xbYzbvtL2h9tZbb5nW1lbPDTXrk08+MZ9++qm58cYb24YrtG+q2ToWLFjQ9pl//OMfbW9xdRXEYAAAAACKcgPNJpqm0184c+bMaQtC23vy0bIJqLPssCnZ4C13CJX26ljy836stNLKPMEIAACALiefPuqY9UcWtC2lqq6uzhMvbL311u7Lam5uNq+//rq7mWZvqr3xxhsuX9qSbDxjb7RNnz69bVo8HjfXXXed2WmnnUxXQwwGAAAABPevMo3BCnID7ZVXXnFj3m+88cZmueWWM7vssov59a9/bbbYYguXZBrLZv78+W0/L2095v4+93N+69A+D6C8BckhLJUNkmC5KyRVD5J4XFs2sY4gCdwDtDc7FJQfKSVDeEpqglJtKuM/6XdaSjyuVJxMe7O1RyMBEm5r+1mA9RAR5peb36fdSl1hnw1wk0P57XtKWaleLTm92IYAx6tWb0cmHifHOdB5Nt1006XePKqurnbxnv2y7M0z+0ClvZlmv+zPS+b1ste1Lbfc0g3fOHJk1wySicHQFXV4n9vbdTOZkNo59t2HlaZryyb1RbTllaYnU0rfS2iw1G+yIkLFWl+zNZUO0G/yv2xaX1wiNU1dZyZAvVK/X/l8Quj3h33PSe+DBokDJdp2k9aDtsrFpgXYJ4Osc02Qvngh5gcAKNANNHvjzCaS/uGHH1zi6EcffdTsuOOOplu3bu67vZlmh/7IfcIOS1dVVdX2c1rohOTK/X3u5/zWoX0eAAAAQGWxN8CCsjGEzXtmv7J5vT744APz9ddfu5trdgjH9dZbz/Tr1890ZcRgAAAAALIK+nrY4MGDzbHHHuu+5s6dax577DF3Q23//fd3Txpts8027maaHaqjd+/ehZx1WerVq1fbzzYAbU82/8CSn/Nbh/Z5AAAAAAjK5j2zb5l11TfNNMRgAAAAAJblTepAbABw0EEHubfRZs2aZe68806XIPrEE080AwYMMFtttZX561//ar7//vtiNaHk2aTS2aTa2WTbmuzvw+Gwu5GZNWTIEE+Z9j5vDR06NK92AwAAAEApIgYDAAAAUPQbaLns0I277767ueuuu8yMGTPMv//9b7PKKquYCy+80CVaXn/99c1FF11kPvvss45oTsmwgdgvf/lL97N9o0/M1bJE0umVV17Z1NfXt00fNWqUp0x7n7dK7SlRAAAAACgEYjAAAAAAHXoDbclEydtuu6254YYbzLRp08wrr7xiNt98c3PbbbeZX/ziF2b11Vc3Z555pnn77bc7umldks0vZ9m8ATNnzhTL2GFBfvzxR/fzmDFjFvvdOuus43LRWTZHnSb7JqB9ctLe1AQAAACASkQMBgAAAKBTbqAtyQYbl1xyiZk8ebJ57733zN57720mTJjg3kobNmyYOf74482LL7641ATO5creXBw0aJD7+fPPPxfL2HWXSqXcUCO77LLLYr+rrq52eefa+7yVfftvv/32K2DrAZS7UEj+Smcyni9NkLLFkk5nPF+acCjk+TIhI38JkqmM+GWfcPd8Kf9J60z7CoeN5ysSDolfdqmX/EqlM+KXtLha2Wg45PnSytrNv+SXVtZupiW/tG1huxFLftn8rEt+iSsh439fsF/SNgsp/wWqV1g3QdoQhFZvqZHWGQAsDTEYOuJ6ovXdgvS5i7UMYh9JEQ6HPF/SvH7+8vZ3CyGVyni+tP/EHpmyflOZjOdL6ypK/Sat3iBf0nrU9h1p/UpxTlrpW2v9P+k/bf1KMYZKWJFSn/3nfru/dRP0SzwGtXhCXOf5t6FY8l1nAIAucgMt11prrWX+8Ic/mHfffdd89dVXLl+avam29dZbm/79+5tDDjnE/Otf/3JPAlaKSCRiDj/8cPfzpEmTxDLZ6fvvv3/bk4657PCZ/fr1Mx988IFpamoSn3z87rvv3NAjW265ZcGXAQAAAABKBTEYAAAAgC53Ay3X8ssvb0466STz8ssvm+nTp5s///nP5qeffjJ77rmn6du3r9ljjz3Mvffea+bPn29KTe4NwNbW1qWW33TTTd1TifZNvKlTpy72OzukyOOPP27GjRvX9pTjkmxAd/7557unj+6//37P7++44w4X3P3pT39ywSIAAACA0mNH93jsscc6uxldEjEYAAAAgKBCmUK9M99BFi5caP7973+bRx991A31aAMhO8SGDVzs0BkDBgwwXdGDDz5oXn/9dffzrFmzXP637PAe9qlDOySCzQ/3l7/8Ra3jvvvuc8tul9PeYLQ3Fh9++GEXKNsnJJcWeNkhQmz9NtfcRhttZJLJpHn22WfNvHnzzBlnnNE2TIkfNsm13XNee/Md358BUDmk4We04d+ClJWuWNqIMlJZbRg7O8yLt165YmmyOuykMDmpDA9phzX0zkypVqgipdUbCflev1Id2qAr0nAs2siX0qLZIXAk0rCG2vqVlkPbxlK90jIE6RbZIYokUnu14RolQfZprWyQNpTgyIy+BVlnQNaY9Ue6/eSdd0qnn2vji7PPPtvdlLE3h9ZYYw1z2mmnmX322aeib84Qg6ErX0/U4RqF63Uhrl3F6keL/TGtayz1TwLECFp7pb681vUKsn6lNujLZvLabqEA7VWH5g7w1z2paCwS9h0jaG0ItB6Esmo8ITRN2xbSPhkkTYAUP2nrISo1LKCO7JsG+QswfWYAHWlMF47BSu4GWi4bHD799NPmkUcecUM7zpkzx+VOs8Nl7LrrrmbFFVc05Wbu3LnmrbfecgFgz549zahRo9zwln7Zcfr/85//uCEyw+GwWX311c2aa64ZuB0EbwDaww20thl6cAPtv/PiBpqKG2iFww00lFvwtjR2xI4rrrjC3HjjjWbRokUup/Qpp5xiDjvsMHfTCMuGGAzcQOMGWhY30NpvAzfQguMGGgCYLh2DlfQNtFzpdNoN92jfTLNfdjx5+5Tfbrvt5r5++ctfdnYTywrBG4D25BtAFuLKJAV1NgG1/zYoQaEwTQ3mhSArokfH/mamTNZvOkoBr0y6oZRIpX2XDXKDRrvhF2R/kOrNdz/TEp3bZOtLigb4I4OaPz3IH1YC/MEn3z+SFesPakAp6MrBm192mPvrrrvOXHPNNW64QTtUoM0vfcwxx5gePXp0dvOwjIjBKuMhjWJdawM9iJPuuBtSKnE95C/IQ0ZB/lwm3QhMKsGHtN0K0WsS45QClJV+kZRuWppg2126+aSV1frokiC7mXSzLMjDkRHlZluQh+ek47sQ/eiOjAfo9gMo5xisy+ZAC8o+yWeHcrzqqqvM119/bd58803zq1/9yg3bsd5665kVVljB5VSbOHFioE4QAAAAAJQSe5PsrLPOMt988425+uqrTU1Njfv38OHD3bCB9k01AAAAAECF3ECTns674IILzMcff2w+/fRT85vf/Ma89tprZuzYsS5P2hFHHOFyqPlJIA0AAAAApcYO23jccceZKVOmmNtvv93l27L5uEaMGOHeRps6dWpnNxEAAAAAuqyyvYGWa9VVVzWnn366mTRpkhva8ZxzznHBok0EbYcz2Xvvvc3//d//uTwBAAAAAFBOotGoOeigg8wnn3xiHnroIZd/y+ZJs3HS/vvvbz766KPObiIAAAAAdDkVcQMtl33q8thjjzXPPvusG7rE5gVoaWkxBx98sLuZttNOO5lbb73VJYgGAAAAgHJi80Pb4e6feeYZs9lmm5l7773XrLPOOmbnnXd2I3YAAAAAACr0BlquXr16uScxH3nkEXfD7O6773bTTj31VDNw4EA33KPNqWZzBwAAAABAudhqq63cQ4VvvPGG2XXXXd3w9ptuuqmLgezPAAAAAFDpop3dgK7CJta2T17+8MMPZtq0aeaFF14wEydOdF8nn3yy2WSTTcxLL73U2c0EgILKZPyXDYWKUzZIGzJGKBzg82llZtLkIGUj4ZDvsimlwaFMyN/yKrT2SsLKBkqnvXVElLLS7LT2hoLsZwH2p6TQ3mhELpxMCWWF7aatxrBYVtlHhPWQEZfMPskUyuv4kbbZz5VIk+SKpflp+5O47wj7bkefcwAsu9GjR7thHT///HNz8cUXuzfS7Kgca6+9thsGf6+99jIhDkjAo1iHRSjANVy6rharH67WIfR71D6HMl2SlupVPp5OG99lpb6Mth5Swi+0slK/MFCMEGBjxKPys/AprV/os6zWj5aapsUTYj9Y2D4/1+Gdpi2C1F5tG0vtlfr9Wr0asQZtfxD33/yPiyDy7eNruyRdAgCVpqLfQLNDNz755JPmhBNOMKussorLAfC73/3OvPjii20dIPs1YMAAs/LKK3d2cwEAAACgKGwsdPvtt5svv/zSDXk/efJks++++7rpN998s2ltbe3sJgIAAABAh6q4G2hfffWVue6668yOO+5oevfu7b7bf0+ZMqXthlk4HHZvnF144YXm3XffdW+l3XLLLZ3ddAAAAAAoqiFDhpirr77aDWN/5plnuqHujzrqKDNixAhz2WWXmUWLFnV2EwEAAACgQ5T9EI72SUn7RtkTTzzhxvK3N8qkV+yXW245s91225ntt9/ejBs3zvTo0aOTWgwAAAAAnatPnz7m/PPPN6eddpq54YYbXG7o3//+9+bPf/6ze0Pt+OOPN3379u3sZgIAAABA0ZTlDbSpU6e6m2X2ppm9edbU1OS5aWbfMttggw3MDjvs4L7WW2+9TmwxAAAAAHQ9dXV15tRTT3XD3tshHi+99FJzwQUXmCuuuMIcdthhLl/0sGHDOruZAAAAAFBw0XJ5y+yll15qu2lmx+uX3jLr16+fe7ss+5aZHcIRAMpNkGTi0vRCJBMPIh0g4bbJCMmNtczNYgJ2pdr2m7h4HSH/yaeDJFhOCtnPtXqlxOF6QnOhXeEAydq1JPB5rt8g6yyirEgpGbhWr5j8XNvPfO6nWvJ0sb0B9gUtube0LbRk5FIi+0wHn18kJB0HSlc8HjdHHnmkOeKII8wDDzxgLr74YnPttdeaG2+80eVKs2+nrb766p3dTKBTaf2xINe/fK+1miB1SN2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", | |
| "text/plain": [ | |
| "<Figure size 864x432 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "image/png": { | |
| "height": 440, | |
| "width": 872 | |
| } | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "bins = (np.linspace(-150, 150, 128), np.linspace(0, 300, 128))\n", | |
| "for name, alpha_mask in zip(\n", | |
| " [\"high-alpha\", \"low-alpha\"], [high_alpha_mask, low_alpha_mask]\n", | |
| "):\n", | |
| " fig, axes = plt.subplots(1, 2, figsize=(12, 6), layout=\"constrained\")\n", | |
| " axes[0].hist2d(\n", | |
| " v_cyl[1].value[alpha_mask],\n", | |
| " np.sqrt(v_cyl[0] ** 2 + v_cyl[2] ** 2).value[alpha_mask],\n", | |
| " bins=bins,\n", | |
| " cmap=\"Blues\",\n", | |
| " # norm=mpl.colors.LogNorm(),\n", | |
| " )\n", | |
| "\n", | |
| " axes[0].set(xlabel=r\"$v_\\phi$ (km/s)\", ylabel=r\"$\\sqrt{v_R^2 + v_z^2}$ (km/s)\")\n", | |
| "\n", | |
| " axes[1].hist2d(\n", | |
| " UVW_lsr[1].value[alpha_mask],\n", | |
| " np.sqrt(UVW_lsr[0] ** 2 + UVW_lsr[2] ** 2).value[alpha_mask],\n", | |
| " bins=bins,\n", | |
| " cmap=\"Blues\",\n", | |
| " # norm=mpl.colors.LogNorm(),\n", | |
| " )\n", | |
| " axes[1].set(xlabel=r\"$V$ (km/s)\", ylabel=r\"$\\sqrt{U^2 + W^2}$ (km/s)\")\n", | |
| "\n", | |
| " fig.suptitle(f\"{name} main sequence stars\", fontsize=28)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "id": "c44e93f1", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "scratch", | |
| "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": "3.12.10" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 5 | |
| } |
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