{
 "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": {
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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": "2026-06-30T01:16:11.587550Z",
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     "shell.execute_reply": "2026-06-30T01:16:11.598107Z"
    },
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     "end_time": "2026-06-30T01:16:11.599764+00:00",
     "exception": false,
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     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<galpy.orbit.Orbits.Orbit object at 0x7f2028f2aba0>\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": 0.002452,
     "end_time": "2026-06-30T01:16:11.605043+00:00",
     "exception": false,
     "start_time": "2026-06-30T01:16:11.602591+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": "2026-06-30T01:16:11.611357Z",
     "iopub.status.busy": "2026-06-30T01:16:11.611130Z",
     "iopub.status.idle": "2026-06-30T01:16:11.617746Z",
     "shell.execute_reply": "2026-06-30T01:16:11.616585Z"
    },
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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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     "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": "2026-06-30T01:16:11.632927Z",
     "iopub.status.busy": "2026-06-30T01:16:11.632713Z",
     "iopub.status.idle": "2026-06-30T01:16:11.639315Z",
     "shell.execute_reply": "2026-06-30T01:16:11.638369Z"
    },
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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(\"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": 0.002368,
     "end_time": "2026-06-30T01:16:11.645073+00:00",
     "exception": false,
     "start_time": "2026-06-30T01:16:11.642705+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": "2026-06-30T01:16:11.651112Z",
     "iopub.status.busy": "2026-06-30T01:16:11.650890Z",
     "iopub.status.idle": "2026-06-30T01:16:13.219618Z",
     "shell.execute_reply": "2026-06-30T01:16:13.218747Z"
    },
    "papermill": {
     "duration": 1.572955,
     "end_time": "2026-06-30T01:16:13.220548+00:00",
     "exception": false,
     "start_time": "2026-06-30T01:16:11.647593+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": 0.002998,
     "end_time": "2026-06-30T01:16:13.226862+00:00",
     "exception": false,
     "start_time": "2026-06-30T01:16:13.223864+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": 0.002391,
     "end_time": "2026-06-30T01:16:13.231995+00:00",
     "exception": false,
     "start_time": "2026-06-30T01:16:13.229604+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": "2026-06-30T01:16:13.238296Z",
     "iopub.status.busy": "2026-06-30T01:16:13.238043Z",
     "iopub.status.idle": "2026-06-30T01:16:13.248253Z",
     "shell.execute_reply": "2026-06-30T01:16:13.247451Z"
    },
    "papermill": {
     "duration": 0.014489,
     "end_time": "2026-06-30T01:16:13.248974+00:00",
     "exception": false,
     "start_time": "2026-06-30T01:16:13.234485+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": 0.002637,
     "end_time": "2026-06-30T01:16:13.254426+00:00",
     "exception": false,
     "start_time": "2026-06-30T01:16:13.251789+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": "2026-06-30T01:16:13.260683Z",
     "iopub.status.busy": "2026-06-30T01:16:13.260460Z",
     "iopub.status.idle": "2026-06-30T01:16:13.268019Z",
     "shell.execute_reply": "2026-06-30T01:16:13.267241Z"
    },
    "papermill": {
     "duration": 0.011693,
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     "exception": false,
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     "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": 0.002514,
     "end_time": "2026-06-30T01:16:13.274056+00:00",
     "exception": false,
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     "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": "2026-06-30T01:16:13.280505Z",
     "iopub.status.busy": "2026-06-30T01:16:13.280288Z",
     "iopub.status.idle": "2026-06-30T01:16:13.287565Z",
     "shell.execute_reply": "2026-06-30T01:16:13.286545Z"
    },
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     "end_time": "2026-06-30T01:16:13.288142+00:00",
     "exception": false,
     "start_time": "2026-06-30T01:16:13.276666+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": 0.002481,
     "end_time": "2026-06-30T01:16:13.293421+00:00",
     "exception": false,
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     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "And the solar system planets:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "938c804e27f84196a10c8828c723f798",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-30T01:16:13.299787Z",
     "iopub.status.busy": "2026-06-30T01:16:13.299584Z",
     "iopub.status.idle": "2026-06-30T01:16:13.306072Z",
     "shell.execute_reply": "2026-06-30T01:16:13.305256Z"
    },
    "papermill": {
     "duration": 0.010801,
     "end_time": "2026-06-30T01:16:13.306840+00:00",
     "exception": false,
     "start_time": "2026-06-30T01:16:13.296039+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": 0.002497,
     "end_time": "2026-06-30T01:16:13.312166+00:00",
     "exception": false,
     "start_time": "2026-06-30T01:16:13.309669+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.idle": "2026-06-30T01:16:14.826754Z",
     "shell.execute_reply": "2026-06-30T01:16:14.825847Z"
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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": 0.003019,
     "end_time": "2026-06-30T01:16:14.834200+00:00",
     "exception": false,
     "start_time": "2026-06-30T01:16:14.831181+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": "2026-06-30T01:16:14.841490Z",
     "iopub.status.busy": "2026-06-30T01:16:14.841280Z",
     "iopub.status.idle": "2026-06-30T01:16:15.227602Z",
     "shell.execute_reply": "2026-06-30T01:16:15.226544Z"
    },
    "papermill": {
     "duration": 0.391076,
     "end_time": "2026-06-30T01:16:15.228282+00:00",
     "exception": false,
     "start_time": "2026-06-30T01:16:14.837206+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\");"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "py313",
   "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": "3.13.14"
  },
  "papermill": {
   "default_parameters": {},
   "duration": 7.686961,
   "end_time": "2026-06-30T01:16:16.048880+00:00",
   "environment_variables": {},
   "exception": null,
   "input_path": "doc/source/tutorials/orbits/known_objects.ipynb",
   "output_path": "doc/source/tutorials/orbits/known_objects.ipynb",
   "parameters": {},
   "start_time": "2026-06-30T01:16:08.361919+00:00",
   "version": "2.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}