{
 "cells": [
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     "status": "completed"
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    "tags": []
   },
   "source": [
    "# Orbits of Known Objects\n",
    "\n",
    "galpy can look up the phase-space coordinates of known astronomical objects\n",
    "by name, using SIMBAD or built-in catalogs. This makes it easy to compute\n",
    "orbits for stars, clusters, galaxies, and solar system bodies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "acae54e37e7d407bbb7b55eff062a284",
   "metadata": {
    "execution": {
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   "source": [
    "%matplotlib inline\n",
    "import numpy\n",
    "import matplotlib.pyplot as plt\n",
    "from galpy.orbit import Orbit\n",
    "from galpy.potential import MWPotential2014\n",
    "import warnings\n",
    "\n",
    "warnings.filterwarnings(\"ignore\", category=RuntimeWarning)\n",
    "warnings.filterwarnings(\"ignore\", category=UserWarning)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a63283cbaf04dbcab1f6479b197f3a8",
   "metadata": {
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     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Looking up a single object\n",
    "\n",
    "`Orbit.from_name` looks up built-in catalogs or, if this fails, queries SIMBAD if\n",
    "`astroquery` is installed, to get the phase-space coordinates of a named object.\n",
    "`Orbit.from_name` supports **tab completion** in IPython/Jupyter for the list of\n",
    "built-in objects (globular clusters, dwarf satellite galaxies, etc.).\n",
    "\n",
    "<div class=\"alert alert-warning\">\n",
    "\n",
    "**Warning**\n",
    "\n",
    "Orbits initialized using `Orbit.from_name` have physical output\n",
    "*turned on by default*, so methods will return outputs in physical units unless\n",
    "you call `o.turn_physical_off()`.\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8dd0d8092fe74a7c96281538738b07e2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-16T13:49:28.569633Z",
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     "iopub.status.idle": "2026-05-16T13:49:28.581484Z",
     "shell.execute_reply": "2026-05-16T13:49:28.580495Z"
    },
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     "duration": 0.016193,
     "end_time": "2026-05-16T13:49:28.582162+00:00",
     "exception": false,
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     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<galpy.orbit.Orbits.Orbit object at 0x7ff2b7bbfcb0>\n",
      "RA = 6.024000000000262 deg\n",
      "Dec = -72.08100000000005 deg\n"
     ]
    }
   ],
   "source": [
    "o = Orbit.from_name(\"NGC104\")  # 47 Tuc\n",
    "print(o)\n",
    "print(\"RA =\", o.ra(), \"deg\")\n",
    "print(\"Dec =\", o.dec(), \"deg\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72eea5119410473aa328ad9291626812",
   "metadata": {
    "papermill": {
     "duration": 0.002577,
     "end_time": "2026-05-16T13:49:28.587494+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:28.584917+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Globular clusters\n",
    "\n",
    "Many well-known globular clusters are in the built-in catalog."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8edb47106e1a46a883d545849b8ab81b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-16T13:49:28.593752Z",
     "iopub.status.busy": "2026-05-16T13:49:28.593559Z",
     "iopub.status.idle": "2026-05-16T13:49:28.600302Z",
     "shell.execute_reply": "2026-05-16T13:49:28.599095Z"
    },
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     "exception": false,
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     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Omega Cen R = 6.20868822084256 kpc\n",
      "Omega Cen z = 1.4146321192354743 kpc\n"
     ]
    }
   ],
   "source": [
    "o_oc = Orbit.from_name(\"Omega Cen\")\n",
    "print(\"Omega Cen R =\", o_oc.R(), \"kpc\")\n",
    "print(\"Omega Cen z =\", o_oc.z(), \"kpc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02911a42",
   "metadata": {
    "papermill": {
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     "end_time": "2026-05-16T13:49:28.606315+00:00",
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     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "Note that you can also get Omega Cen by its NGC number:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "872e040a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-16T13:49:28.612876Z",
     "iopub.status.busy": "2026-05-16T13:49:28.612686Z",
     "iopub.status.idle": "2026-05-16T13:49:28.619672Z",
     "shell.execute_reply": "2026-05-16T13:49:28.618469Z"
    },
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     "duration": 0.011408,
     "end_time": "2026-05-16T13:49:28.620431+00:00",
     "exception": false,
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     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Omega Cen R = 6.20868822084256 kpc\n",
      "Omega Cen z = 1.4146321192354743 kpc\n"
     ]
    }
   ],
   "source": [
    "o_oc = Orbit.from_name(\"NGC 5139\")  # Omega Centauri\n",
    "print(\"Omega Cen R =\", o_oc.R(), \"kpc\")\n",
    "print(\"Omega Cen z =\", o_oc.z(), \"kpc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c172bc66",
   "metadata": {
    "papermill": {
     "duration": 0.002599,
     "end_time": "2026-05-16T13:49:28.626017+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:28.623418+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "Specifying the name like this uses the built-in catalog, which is more reliable than SIMBAD for globular clusters, so it's recommended to use the built-in name when possible. However, if you want to use SIMBAD, you can specify the name like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "1952b6be",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-16T13:49:28.632538Z",
     "iopub.status.busy": "2026-05-16T13:49:28.632304Z",
     "iopub.status.idle": "2026-05-16T13:49:30.454997Z",
     "shell.execute_reply": "2026-05-16T13:49:30.453977Z"
    },
    "papermill": {
     "duration": 1.826969,
     "end_time": "2026-05-16T13:49:30.455765+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:28.628796+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Omega Cen R = 6.205624565132113 kpc\n",
      "Omega Cen z = 1.350850821530841 kpc\n"
     ]
    }
   ],
   "source": [
    "o_oc = Orbit.from_name(\"Omega Centauri\")\n",
    "print(\"Omega Cen R =\", o_oc.R(), \"kpc\")\n",
    "print(\"Omega Cen z =\", o_oc.z(), \"kpc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21e1ad9f",
   "metadata": {
    "papermill": {
     "duration": 0.002618,
     "end_time": "2026-05-16T13:49:30.461408+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:30.458790+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "Notice how the output is different when using the built-in catalog vs. SIMBAD, because the built-in catalog uses a different distance estimate for Omega Cen than SIMBAD does."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10185d26023b46108eb7d9f57d49d2b3",
   "metadata": {
    "papermill": {
     "duration": 0.002545,
     "end_time": "2026-05-16T13:49:30.466726+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:30.464181+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Satellite galaxies and multiple names\n",
    "\n",
    "You can look up satellite galaxies and pass a list of names."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8763a12b2bbd4a93a75aff182afb95dc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-16T13:49:30.473411Z",
     "iopub.status.busy": "2026-05-16T13:49:30.472973Z",
     "iopub.status.idle": "2026-05-16T13:49:30.482975Z",
     "shell.execute_reply": "2026-05-16T13:49:30.482064Z"
    },
    "papermill": {
     "duration": 0.014125,
     "end_time": "2026-05-16T13:49:30.483600+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:30.469475+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "LMC distance = 50.1 kpc\n",
      "Number of orbits: 2\n",
      "Distances: [50.1 62.8]\n"
     ]
    }
   ],
   "source": [
    "o_lmc = Orbit.from_name(\"LMC\")\n",
    "print(\"LMC distance =\", o_lmc.dist(), \"kpc\")\n",
    "\n",
    "# Multiple objects at once\n",
    "os_mc = Orbit.from_name([\"LMC\", \"SMC\"])\n",
    "print(\"Number of orbits:\", os_mc.size)\n",
    "print(\"Distances:\", os_mc.dist())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7623eae2785240b9bd12b16a66d81610",
   "metadata": {
    "papermill": {
     "duration": 0.00273,
     "end_time": "2026-05-16T13:49:30.489198+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:30.486468+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Built-in collections\n",
    "\n",
    "galpy has built-in collections for Milky Way globular clusters,\n",
    "satellite galaxies, and the solar system."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7cdc8c89c7104fffa095e18ddfef8986",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-16T13:49:30.495669Z",
     "iopub.status.busy": "2026-05-16T13:49:30.495494Z",
     "iopub.status.idle": "2026-05-16T13:49:30.502468Z",
     "shell.execute_reply": "2026-05-16T13:49:30.501626Z"
    },
    "papermill": {
     "duration": 0.011302,
     "end_time": "2026-05-16T13:49:30.503293+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:30.491991+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of globular clusters: 161\n"
     ]
    }
   ],
   "source": [
    "# All MW globular clusters\n",
    "gc = Orbit.from_name(\"MW globular clusters\")\n",
    "print(\"Number of globular clusters:\", gc.size)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "711bd0cd",
   "metadata": {
    "papermill": {
     "duration": 0.002639,
     "end_time": "2026-05-16T13:49:30.508830+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:30.506191+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "Similarly, all MW satellite galaxies in the built-in catalog can be accessed with `Orbit.from_name(\"MW satellites\")`.:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b118ea5561624da68c537baed56e602f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-16T13:49:30.517972Z",
     "iopub.status.busy": "2026-05-16T13:49:30.517769Z",
     "iopub.status.idle": "2026-05-16T13:49:30.524926Z",
     "shell.execute_reply": "2026-05-16T13:49:30.524031Z"
    },
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     "duration": 0.014031,
     "end_time": "2026-05-16T13:49:30.525712+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:30.511681+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of satellite galaxies: 50\n",
      "Satellite galaxies loaded: ['AntliaII' 'AquariusII' 'BootesI' 'BootesII' 'BootesIII' 'CanesVenaticiI'\n",
      " 'CanesVenaticiII' 'Carina' 'CarinaII' 'CarinaIII' 'ColumbaI'\n",
      " 'ComaBerenices' 'CraterII' 'Draco' 'DracoII' 'EridanusII' 'Fornax'\n",
      " 'GrusI' 'GrusII' 'Hercules' 'HorologiumI' 'HydraII' 'HydrusI' 'LMC'\n",
      " 'LeoI' 'LeoII' 'LeoIV' 'LeoV' 'PegasusIII' 'PhoenixI' 'PhoenixII'\n",
      " 'PiscesII' 'ReticulumII' 'ReticulumIII' 'SMC' 'SagittariusII' 'Sculptor'\n",
      " 'Segue1' 'Segue2' 'Sextans' 'Sgr' 'TriangulumII' 'TucanaII' 'TucanaIII'\n",
      " 'TucanaIV' 'TucanaV' 'UrsaMajorI' 'UrsaMajorII' 'UrsaMinor' 'Willman1']\n"
     ]
    }
   ],
   "source": [
    "# MW satellite galaxies\n",
    "sat = Orbit.from_name(\"MW satellite galaxies\")\n",
    "print(\"Number of satellite galaxies:\", sat.size)\n",
    "print(\"Satellite galaxies loaded:\", sat.name)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "067c4622",
   "metadata": {
    "papermill": {
     "duration": 0.002684,
     "end_time": "2026-05-16T13:49:30.531328+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:30.528644+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "And the solar system planets:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "938c804e27f84196a10c8828c723f798",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-16T13:49:30.537819Z",
     "iopub.status.busy": "2026-05-16T13:49:30.537650Z",
     "iopub.status.idle": "2026-05-16T13:49:30.543933Z",
     "shell.execute_reply": "2026-05-16T13:49:30.543116Z"
    },
    "papermill": {
     "duration": 0.01059,
     "end_time": "2026-05-16T13:49:30.544770+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:30.534180+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of solar system bodies: 8\n",
      "Solar system object loaded: ['Mercury' 'Venus' 'Earth' 'Mars' 'Jupiter' 'Saturn' 'Uranus' 'Neptune']\n"
     ]
    }
   ],
   "source": [
    "# Solar system\n",
    "ss = Orbit.from_name(\"solar system\")\n",
    "print(\"Number of solar system bodies:\", ss.size)\n",
    "print(\"Solar system object loaded:\", ss.name)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "504fb2a444614c0babb325280ed9130a",
   "metadata": {
    "papermill": {
     "duration": 0.002768,
     "end_time": "2026-05-16T13:49:30.550502+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:30.547734+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Integrating globular cluster orbits\n",
    "\n",
    "Let's integrate the orbits of all MW globular clusters and plot them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "59bbdb311c014d738909a11f9e486628",
   "metadata": {
    "execution": {
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     "iopub.status.busy": "2026-05-16T13:49:30.557003Z",
     "iopub.status.idle": "2026-05-16T13:49:31.961982Z",
     "shell.execute_reply": "2026-05-16T13:49:31.961239Z"
    },
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     "exception": false,
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     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy\n",
    "\n",
    "ts = numpy.linspace(0.0, 10.0, 10000)\n",
    "gc.integrate(ts, MWPotential2014)\n",
    "gc.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b43b363d81ae4b689946ece5c682cd59",
   "metadata": {
    "papermill": {
     "duration": 0.003328,
     "end_time": "2026-05-16T13:49:31.970120+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:31.966792+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Solar system example with KeplerPotential\n",
    "\n",
    "Integrate the solar system planets in a Keplerian potential representing the Sun. Because physical outputs are in kpc, we convert them to AU for plotting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "8a65eabff63a45729fe45fb5ade58bdc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-16T13:49:31.978195Z",
     "iopub.status.busy": "2026-05-16T13:49:31.977913Z",
     "iopub.status.idle": "2026-05-16T13:49:32.380789Z",
     "shell.execute_reply": "2026-05-16T13:49:32.379890Z"
    },
    "papermill": {
     "duration": 0.408115,
     "end_time": "2026-05-16T13:49:32.381613+00:00",
     "exception": false,
     "start_time": "2026-05-16T13:49:31.973498+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from galpy.potential import KeplerPotential\n",
    "from galpy.util.conversion import get_physical\n",
    "from astropy import units as u\n",
    "\n",
    "ss = Orbit.from_name(\"solar system\")\n",
    "kp = KeplerPotential(amp=1.0 * u.Msun, **get_physical(ss))\n",
    "ts = numpy.linspace(0.0, 100.0, 10001) * u.yr\n",
    "ss.integrate(ts, kp)\n",
    "kpc_to_au = u.kpc.to(u.AU)\n",
    "ss.plot(\n",
    "    d1=f\"x*{kpc_to_au}\", d2=f\"y*{kpc_to_au}\", xlabel=r\"x\\, [AU]\", ylabel=r\"y\\, [AU]\"\n",
    ")\n",
    "plt.gca().set_aspect(\"equal\");"
   ]
  }
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