{ "cells": [ { "cell_type": "markdown", "id": "7fb27b941602401d91542211134fc71a", "metadata": { "papermill": { "duration": 0.004588, "end_time": "2026-05-16T13:48:01.869147+00:00", "exception": false, "start_time": "2026-05-16T13:48:01.864559+00:00", "status": "completed" }, "tags": [] }, "source": [ "# Getting Started with galpy\n", "\n", "This tutorial introduces the most basic features of galpy: setting up gravitational potentials,\n", "plotting rotation curves, understanding galpy's unit system, and integrating orbits.\n", "\n", "galpy's two core modules are `galpy.potential` (gravitational potentials) and `galpy.orbit` (orbit integration)." ] }, { "cell_type": "markdown", "id": "77a244d9", "metadata": { "papermill": { "duration": 0.003551, "end_time": "2026-05-16T13:48:01.876505+00:00", "exception": false, "start_time": "2026-05-16T13:48:01.872954+00:00", "status": "completed" }, "tags": [] }, "source": [ "
\n", "\n", "**Tip**\n", "\n", "You can copy all of the code examples in this documentation to your clipboard by clicking the clipboard button in the top-right corner of each code cell.\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "id": "acae54e37e7d407bbb7b55eff062a284", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:01.884884Z", "iopub.status.busy": "2026-05-16T13:48:01.884664Z", "iopub.status.idle": "2026-05-16T13:48:02.254381Z", "shell.execute_reply": "2026-05-16T13:48:02.253519Z" }, "papermill": { "duration": 0.375263, "end_time": "2026-05-16T13:48:02.255418+00:00", "exception": false, "start_time": "2026-05-16T13:48:01.880155+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy\n", "import matplotlib.pyplot as plt\n", "import warnings\n", "\n", "warnings.filterwarnings(\"ignore\", category=RuntimeWarning)\n", "warnings.filterwarnings(\"ignore\", category=UserWarning)" ] }, { "cell_type": "markdown", "id": "9a63283cbaf04dbcab1f6479b197f3a8", "metadata": { "papermill": { "duration": 0.003514, "end_time": "2026-05-16T13:48:02.262867+00:00", "exception": false, "start_time": "2026-05-16T13:48:02.259353+00:00", "status": "completed" }, "tags": [] }, "source": [ "## 1. Rotation Curves\n", "\n", "### A single disk potential\n", "\n", "Let's start by initializing a Miyamoto-Nagai disk potential and plotting its rotation curve.\n", "The `normalize=1.` option normalizes the potential so that the circular velocity equals 1 at R=1\n", "(in galpy's natural units)." ] }, { "cell_type": "code", "execution_count": 2, "id": "8dd0d8092fe74a7c96281538738b07e2", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:02.271361Z", "iopub.status.busy": "2026-05-16T13:48:02.271064Z", "iopub.status.idle": "2026-05-16T13:48:04.524008Z", "shell.execute_reply": "2026-05-16T13:48:04.522859Z" }, "papermill": { "duration": 2.258137, "end_time": "2026-05-16T13:48:04.524716+00:00", "exception": false, "start_time": "2026-05-16T13:48:02.266579+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from galpy.potential import MiyamotoNagaiPotential\n", "\n", "mp = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=1.0)\n", "mp.plotRotcurve(Rrange=[0.01, 10.0], grid=1001);" ] }, { "cell_type": "markdown", "id": "72eea5119410473aa328ad9291626812", "metadata": { "papermill": { "duration": 0.003935, "end_time": "2026-05-16T13:48:04.532949+00:00", "exception": false, "start_time": "2026-05-16T13:48:04.529014+00:00", "status": "completed" }, "tags": [] }, "source": [ "### Combining multiple potentials\n", "\n", "A realistic galaxy model requires multiple components. We can combine potentials simply by\n", "adding them with `+`. Here we create a three-component model with a disk, a halo, and a bulge.\n", "Note that the `normalize` values sum to 1, so the composite circular velocity is 1 at R=1." ] }, { "cell_type": "code", "execution_count": 3, "id": "8edb47106e1a46a883d545849b8ab81b", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:04.542310Z", "iopub.status.busy": "2026-05-16T13:48:04.541886Z", "iopub.status.idle": "2026-05-16T13:48:04.891370Z", "shell.execute_reply": "2026-05-16T13:48:04.890300Z" }, "papermill": { "duration": 0.355221, "end_time": "2026-05-16T13:48:04.892201+00:00", "exception": false, "start_time": "2026-05-16T13:48:04.536980+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from galpy.potential import NFWPotential, HernquistPotential\n", "\n", "mp = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=0.6)\n", "nfp = NFWPotential(a=4.5, normalize=0.35)\n", "hp = HernquistPotential(a=0.6 / 8, normalize=0.05)\n", "(hp + mp + nfp).plotRotcurve(Rrange=[0.01, 10.0], grid=1001, yrange=[0.0, 1.2]);" ] }, { "cell_type": "markdown", "id": "10185d26023b46108eb7d9f57d49d2b3", "metadata": { "papermill": { "duration": 0.003974, "end_time": "2026-05-16T13:48:04.900610+00:00", "exception": false, "start_time": "2026-05-16T13:48:04.896636+00:00", "status": "completed" }, "tags": [] }, "source": [ "The resulting rotation curve is approximately flat, as observed in many spiral galaxies.\n", "We can overplot the individual component curves to see how each contributes:" ] }, { "cell_type": "code", "execution_count": 4, "id": "8763a12b2bbd4a93a75aff182afb95dc", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:04.909918Z", "iopub.status.busy": "2026-05-16T13:48:04.909700Z", "iopub.status.idle": "2026-05-16T13:48:05.488784Z", "shell.execute_reply": "2026-05-16T13:48:05.487876Z" }, "papermill": { "duration": 0.584785, "end_time": "2026-05-16T13:48:05.489538+00:00", "exception": false, "start_time": "2026-05-16T13:48:04.904753+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(hp + mp + nfp).plotRotcurve(\n", " Rrange=[0.01, 10.0], grid=1001, yrange=[0.0, 1.2], label=\"Total\"\n", ")\n", "mp.plotRotcurve(Rrange=[0.01, 10.0], grid=1001, overplot=True, label=\"Disk\")\n", "hp.plotRotcurve(Rrange=[0.01, 10.0], grid=1001, overplot=True, label=\"Bulge\")\n", "nfp.plotRotcurve(Rrange=[0.01, 10.0], grid=1001, overplot=True, label=\"Halo\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "7623eae2785240b9bd12b16a66d81610", "metadata": { "papermill": { "duration": 0.004165, "end_time": "2026-05-16T13:48:05.500687+00:00", "exception": false, "start_time": "2026-05-16T13:48:05.496522+00:00", "status": "completed" }, "tags": [] }, "source": [ "### MWPotential2014\n", "\n", "galpy includes `MWPotential2014`, a Milky-Way-like potential fit to\n", "various dynamical constraints ([Bovy 2015](http://arxiv.org/abs/1412.3451)). See the [Introduction to Potentials](../potentials/introduction.ipynb) for details." ] }, { "cell_type": "code", "execution_count": 5, "id": "7cdc8c89c7104fffa095e18ddfef8986", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:05.510201Z", "iopub.status.busy": "2026-05-16T13:48:05.509947Z", "iopub.status.idle": "2026-05-16T13:48:05.887096Z", "shell.execute_reply": "2026-05-16T13:48:05.886034Z" }, "papermill": { "duration": 0.383057, "end_time": "2026-05-16T13:48:05.887965+00:00", "exception": false, "start_time": "2026-05-16T13:48:05.504908+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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7/ui4EM0YMUAzRgzQxIFh8mUdIwAwJNYZ8gDMF+oZXl4mTUgK04SkMD107UgdLa7W1pxCbc0pVFZumb7Ir9QX+ZV65sMjCjb7aPqwSM24zBGO4kLpGgEAuo4w1E05zjDEYoI9aciAIP1wRpB+OGOoSqobtONwsbYdLNb2wyUqrWnUli8KtOWLAknSiOggXTl8gKYPi1Tq4HAFmfmfNwDgm/HXohtqGpp1qqxOkjQqhs5Qb4kMMuvfJiTo3yYkqMVm1+d5FfrwYLG2HSrSvpPlOlRYrUOF1fr9P4/Jx8uksQlWTRsaqWlDIzRxYBhrGgEAOkQY6oZjJTWSpIhAP4UF+rm5GmPy9jJpXGKoxiWGamH6cJXXNmrH4RJ99FWJdh45o9zSWmXnlis7t1zrPvhKfj5empQUpmlDIzRtWITGxIcy8R0AIIkw1C1Hih2Tenmk3nOEBvhp9rg4zR4XJ0k6WVqrXUfPaNeRM9p5pESFlQ2Or4+e0dNbJYuvl8Ynhip1ULgmDwrXxKRQBVt4hB8AjIgw1A1Hih2doSEDAt1cCS4mMTxAieEBum1youx2u46W1GjnkTPadaREu46cUVltk/51tFT/OloqSfIySSNjQpQ6KEyTB4UrdVC4YqwWN/8UAIDeQBjqBjpDfYvJZNLQAUEaOiBId39roOx2u44U12jP8VLtOV6qT46XKbe0VjmnK5VzulL/u+uEJCkx3F+TksI0PjFU45PClBwbwtAaAPRDhKFuONK69s3QKDpDfZHJZNKwqCANiwrSnVOSJEmFlfX65HiZIxydKFVOfqVOltbpZKljyxBJ8vP2UnJciMYnhmpCUqjGJ4YqKTxAJpPJnT8OAOASEYa6yGazOydQD4mkM9RfRIdYdMPYWN0wNlaSVN3QrOwTZdqbW669J8v06clyldU2ad/Jcu07Wa4XdjquCw/007gEq8Ynhml8UqjGJVgVGsCkegDoSwhDXZRXXqeGZpv8vL2UEMYif/1VkNlHV44YoCtHDJDk2Jj3xJlaZxjae7JcX+ZXqrSmUR8cLNYHB4ud1yaE+SslzqoxCVaNjgvRmHirIoLM7vpRAADfwLBhqLt7k7XNFxoUGSAftoIwDJPJpEGRgRoUGag5E+IlSQ3NLcrJr3QGpH0ny3XiTK1OldXpVFmdczFISYq1Whyb1MZZNSYhRClxVkWFMEEbADwBe5N1cW+T5/95TI+9naNrR8do/d2TeqFC9CUVtU364nSFPs+r0Od5lfo8r0JHW4dVzxcVbG4NSCEaFet4JYUHyMuLOUgA8E3Ym8yNTpbWSpIGRTJ5GheyBvi2rnod6TxWVd+knPxKfZ5fqS/yKvRZXoWOFFerqKpB7x8o0vsHipznBvh567KYYI2MCdGo2GCNig3RZTHBCmENJADoMYShLsptDUNJ4QFurgR9RbDFV1OHRGjqkAjnsdrGZn15utLZPTpQUKWDhVWqbWxxTNrOLW93j4Qw/3YBaWRMsAZGBMqbLhIAXDLCUBe1haHEcCZPo/sC/Hw0aWC4Jg0Mdx5rbrHp+JkafXm6Sl+ertSBAsfH0xX1znlI//iy0Hm+v6+3RsQEa0RUkEZEB2t4tONjrNXC4/4A0AWEoS6w2+3OYTI6Q3A1H28vDYsK1rCoYOe2IpJUXtvoDEYHTlfpy4JKHSyoUl1Tiz49Wa5PT5a3u0+w2UfDooM0IupsQBoRHazoEDMhCQA6QBjqguKqBjU02+RlkuJC6Qyhd4QG+OlbQyL0rXOG2Vpa17s6WFClQ4VVOlxUpUOF1TpeUqOqhuYOh9qCLT6twShIw6OCnZ8PCCYkATA2wlAXtA2RxYX6y5fH6uFG3l5nV9G+QbHO443NNh0rqXEEpEJHQDpUVKUTZ2pVVd+srBNlyjpR1u5eVn9fDR0Q6NiyJCpIQyIDNTQqSEnhAfzvHIAhEIa6wDlfKIwhMngmPx8vXRYTrMtigtsdb2huaQ1J1a0hqUqHC6t1/EyNKuqalJ1bruzzOkk+XiYNjAhwhiTH/m6BGjIgSFZ/nm4D0H8QhrqAJ8nQV5l9vDUyJkQjY9qvxVHf1KLjZ2p0pKhGR4qrz76KalTX1KIjxTU6Ulwj5RS2u25AsPlsN8kZlgIVZ/VnnSQAfQ5hqAtOltZJkpIiCEPoHyy+HYckm82ugsr61mBUrSPFNTpa4ghJBZX1Kq5qUHFVg/51tPS8+3lpUESg4xUZqMGRARoUEajBAwI1IIi5SQA8E2GoC9qeJGNPMvR3Xl4mxYX6Ky7UX1cMH9Due1X1TTpWUuPsILV1k46X1Kq+yaYDBVU6UFB1wT0D/bydW5oMjgjU4LbPIwMVFuBLUALgNoYNQ93Zm4xhMsCxiOTYhFCNTQhtd7y5xaZTZXU6dqZGx0scr6MlNTp+pkZ5ZXWqaWzRF/mV+iK/8oJ7hlh82oWjwZFnu0vMTwLQ09ibrJN7mzQ223TZ0r/Jbpf2PJKuAcHsQg50VkNzi06W1ul4SY2OldS0C0z5FfVfe214oJ8GRQRoYESgksIDNDAiQEnhAUqKCGDoDTAw9iZzg8LKetntkp+3lyIC/dxdDtCnmH28nUsBnK+usUUnSmtag1Kt42NrWCqqalBpTaNKaxoveNpNcuzllhQe4HwNjAhQUkSgBoYHKD6MJTAAdA5hqJPyyx2Tp2NDLTwtA7iQv1/Hk7glqbqhWcdLanTiTK1OlNYo90ytTpypVW5prU5X1Km2seWic5TaFkd1dJICz3aUWkNTMJvfAmhFGOqk062t/Firxc2VAMYRZPZRSrxVKfHWC77X2GzTqbJanSitVW5rQHIEpRrlljomc7ft6faRzlxwfXignxLDAzSwNRwlhgUoIdxfiWEBirVa5ENXCTAMwlAn5Vc4OkNxVp4kAzyBn4+XhgwI0pABFw692e12FVU1nA1IZ2p0ovXzk6W1OtM69FZa03jB3m6SY4XvWKtFCWGOcJQQFqDEcH/nx6hgi7zpEAP9BmGok06Xt3aGQukMAZ7OZDIpOsSi6BCLUgeFX/D9qvom5Z7bUSp1hKS81k5SY8vZrtK/VHrB9b7eJsWH+isxPEAJYY6QlBB29msmdgN9C2Gok063doZi6QwBfV6wxVej46waHXfh8JvN5ugqnSqr1cmyWp0qrXN8LHN8zC+vV1OLXcfP1Or4mdoO72/x9TobkM4LSolhAQplXSXAo3hcGMrIyNBTTz2lgoICjRs3Tr/97W81ZcqUi56/du1aPfvss8rNzVVkZKRuueUWrVy5UhaLazs4+a2doTg6Q0C/5uVlUozVohirRZM76Co1t9hUUFmvk6V1rYHJ8bEtNBVU1qu+yaaviqr1VVF1h+8R4OetuFB/xYf6Kz6s9WPrIpfxYf6KDjYzZwnoRR4VhjZv3qxFixZp/fr1mjp1qtauXatZs2bp4MGDioqKuuD8TZs2afHixdq4caOmTZumQ4cO6T/+4z9kMpm0Zs0al9ZGZwiAJPl4t3V9AiRFXPD9xmab8svrnJ2kk6Vnu0qnyupUXNWg2saWrw1L3l4mxYRYWgOSpTUwBSgu1DGPKS7UXwF+HvWvb6BP86j/N61Zs0b33Xef7rnnHknS+vXr9c4772jjxo1avHjxBefv3LlT06dP13e/+11J0qBBg3TnnXfq448/dmlddY0tKqttkuR4VBcALsbPx8u57UhH6ptalF9ep/zyeuWVO+Yp5bV+nl9er9MVdWpqsSuvvE55rUt6dCQswFfxYf6Ks7bvLrV9Hh7ox1Ac0EkeE4YaGxuVlZWlJUuWOI95eXkpPT1du3bt6vCaadOm6U9/+pN2796tKVOm6OjRo3r33Xd19913X/R9Ghoa1NDQ4Py6svLCrQHO19YVCvTzVojFY/6RAeiDLL7eF30KTpJabHYVVzU4w1B+eZ3yylo/tn5e1dCsstomldU26fO8jv8dZvH1OjsUF+qvWKu/YkMtirP6K8ZqUVyohe4S0Mpj/p9QUlKilpYWRUdHtzseHR2tAwcOdHjNd7/7XZWUlOjyyy+X3W5Xc3OzfvSjH+nhhx++6PusXLlSv/jFL7pUm3ONoVB//ksLQI/yPmfO0qSBYR2eU1nf1D4gtYaktvBUVNWg+iabjhbX6GhxzUXfy+rvq1irxfEK9Vec1eIITa1fx1otsvh699SPCngMjwlD3fHhhx9qxYoVeuaZZzR16lR99dVXWrhwoR577DEtXbq0w2uWLFmiRYsWOb+urKxUYmLi176Pc/VpFlwE4AFCLL4KifXVqNiO92NqbLapoKJep1qH3vLK6nS6ok75FfUqqKjT6fJ6VTU0q6KuSRV1TR2u4N0mPNBPMSGOTlLsOV2lWKtjiC7aapbZh8CEvs1jwlBkZKS8vb1VWFjY7nhhYaFiYmI6vGbp0qW6++679f3vf1+SNGbMGNXU1OgHP/iBHnnkEXl5Xfg0htlsltnctU1WC1h9GkAf4ufjpaQIx2a2F1NV36TTFfXKL69TQUW98ivqdbq8znGsNTDVNbU4F6fMOX3xKQWRQX5nO0rndJXiQv0VE+LocrFPHDyZx4QhPz8/TZo0SZmZmZozZ44kyWazKTMzUz/+8Y87vKa2tvaCwOPt7fgvFLvd7rLaiqocc4yiQwhDAPqHYIuvgi2+GhEd3OH37Xa7KuuaHcGowjHhu+CcoHS6whGcGpptKqluVEl1oz7Lq+jwXiaTFBFoVozVrJjWxTBjQiyKbg1PbZ8Hm32YigC38JgwJEmLFi3SvHnzNHnyZE2ZMkVr165VTU2N8+myuXPnKj4+XitXrpQkzZ49W2vWrNGECROcw2RLly7V7NmznaHIFQorHZ2hKMIQAIMwmUyyBvjKGnDx4Ti73a6y2iblt3aU2gLS6XLHkNzpCkfXqanFrpLqBpVUN1x0wrfkWH/JGZasbaHJfPZzq0UDgliDCa7nUWHo9ttvV3FxsZYtW6aCggKNHz9eW7ZscU6qzs3NbdcJevTRR2UymfToo48qLy9PAwYM0OzZs/X444+7tK62zlBUcNeG1wCgPzOZTAoP9FN4oF+Hm+lKjhW9z9Q0qrDS0VkqqKy/4PPTFfWqqm9WbWOLjpbU6GjJxSd9e5mkAcHmDkKTpV1oCjJ71J83eDiT3ZXjSX1QZWWlrFarKioqFBLS8X/9TFuZqfyKer25YLrGJ4b2boEAYAC1jc3nhaWGC0JTUVWDWmyd+5MVZPZR9LldpdaQFBVsUVSIWdEhji6Tnw9dpr6qM3+/O4vo/A1sNruKq+kMAUBPCvDz+dr1lyTHGkxnqhtU0BqS2rpK53abCisbVN3Q7HgVN+vI1ywtIDmelosKNisqxKKoYLOiQ8yOwHTOsagQnpjr7whD36CstlFNLY7/EhlAGAIAt/H2MjkCSohFYxMufl51Q7MzLJ0/NFdU1aDiqgYVVTnmMrU9Lfd1ywtIUmiAr6Jbu0rO7lJrYGoLUAOCzazL1EcRhr5BYaWjKxQR6MejoQDQBwSZfTQsKkjDoi7eZbLZ7Cqva3IOvxWd87Gw0hGWCisdwamxxaby2iaV1zbpYOHXhyarv2+H3aXokLYA5fhIaPIshKFvUFTFk2QA0N94eZ2d/D0q9uLn2e12ldc2qaiqwRmcCivrnd2lc4NTY7PNuZDlocKON+FtE2LxUVTrvKUBwee8zvs6PMBPXl4sN9DTCEPfoKiS+UIAYFQmk0lhgX4KC/TTZTEdr8kknV2XqbCqXkWVFw9OhZWOtZkq65tVWV+tr4q+PjR5e5kUEeh30bB07tdBrNPUbYYNQxkZGcrIyFBLS8vXntfWGYoOIQwBADp27rpMF1vIUmoNTfXNKm4NRyXVjqE45+ucr0trG9ViszuG76oaLnrPNmYfr06FpsgghunOZ9gwtGDBAi1YsMD5aN7FFDo7QwyTAQAujclkktXfV1Z/Xw2LunhokqSmFptKaxo7DkutH0taj1c1NKuh2aZTZXU6VVb3jXWEWHzOCUuW88KSnyJbvw43yHxZw4ahzqIzBABwB19vL0W3Li75TeoaW1RS3eB8Wq64g45TW3BqbGkbpvvmpQckx5N0EYGOgBQZbFZk6+cRQY7gFBHk6DxFBPkpsI8udtk3q+5FbZ2hAXSGAAAeyt/PW4nhAUoMv/jmvNLZuU3F1WeXGWjXaapuVFFlvc60LjnQYrM7n6TrTHDy9/VWRGtnKTLobJcp4pyPA1qDVKi/r8dMDicMfYNi5yatdIYAAH3buXObvmmYrm35gbZ95UqqG1VS1aAzNQ0qqWrUmZoGFVc36kzr9+ubbKpraun0UJ1P6xN9EeeEprZOU/vg5KeIwJ5dLbzbYaipqUkFBQWqra3VgAEDFB4e7sq6PILdbneGIRZcBAAYybnLD3zdpHDJ8feyprHFGYxKqhtVUt2gM+d8LG793pnqRlXUNam5C5PDJccaThHnhKYgU5MrfkxJXQxDVVVV+tOf/qSXX35Zu3fvVmNjo+x2u0wmkxISEnTNNdfoBz/4gVJTU11WoDtV1jerscUmSYoMIgwBANARk8mkILOPgsw+GhgR+I3nNzY7JoeXXBCezn5e0tp1OtM6XNe2htPR1uE6W0Oty+rvdBhas2aNHn/8cQ0dOlSzZ8/Www8/rLi4OPn7+6u0tFSff/65duzYoWuuuUZTp07Vb3/7Ww0fPtxlhbpDSeueZMFmHx5DBADARfx8vBRjdWye+03ahuvOVDvmNrV1m/KLSvXoWtfU0+kwtGfPHm3fvl2jR4/u8PtTpkzR9773PT377LN64YUXtGPHjj4fhs5UN0qSIoL83FwJAADGdO5w3fBzhusqKyP0qIveo9Nh6KWXXurUeRaLRT/60Y+6XZAnaesMMUQGAED/dclPk5WVlem9995TXl6eJCkuLk6zZs1SWFjYJRfnboQhAAD6v0t6Tu35559XWlqaPv74Y9lsNtlsNn388ceaNm2ann/+eVfV6DYlDJMBANDvXVJnaNWqVcrOzlZgYPuZ44899pgmTpyoe++995KK60md2ZuMzhAAAP3fJXWGTCaTqqqqLjheVVXl8TvnLliwQDk5OdqzZ89FzympagtDdIYAAOivLqkztHr1as2YMUMpKSmKj4+XJJ06dUpffPGFnn76aZcU6E5nahzDZHSGAADovy4pDN1444267rrrtHv3buXn50tyTKCeMmWKvL37/ro8zmEyVp8GAKDfuuSnyby9vZWWluaKWjxO2zBZRCDDZAAA9FddnjN04sQJvffeeyooKOjw+20dor6urrFFNY2OydV0hgAA6L+6FIZeeuklDRs2TNdee62GDBmiP/7xj5Kk3NxcPfHEE5oyZYqSkpJ6pNDe1jZE5uftpWDzJTfQAACAh+pSGHrsscd0//3367PPPtPMmTM1f/58LV26VEOHDtULL7yg1NRUvfrqqz1Va686O3naz+OfjAMAAN3XpZbHkSNHtHDhQg0cOFAZGRlKSkrSRx99pP3792vUqFE9VaNbOB+rZ4gMAIB+rUudoaamJvn7+0uSEhISZLFYtHr16n4XhKSzw2RMngYAoH/r8gTqTZs26cCBA5IcT5L1hz3IOsIaQwAAGEOXwtAVV1yh5cuXa/To0YqMjFR9fb1+/etf65VXXlFOTo6am5t7qs5eV8wwGQAAhtClOUPbtm2TJB0+fFhZWVnKzs5Wdna2XnzxRZWXl8vPz08jRozQ/v37e6RYV/qmvckYJgMAwBi69cz48OHDNXz4cN1xxx3OY8eOHdMnn3yivXv3uqy4nrRgwQItWLBAlZWVslqtF3z/TOuO9QPoDAEA0K91Ogzl5uZ+7RpCgwcP1uDBg3XrrbdKkvLy8pz7lfVFZztDhCEAAPqzTs8ZSk1N1Q9/+MOv3eW9oqJCGzZsUEpKil5//XWXFOgubROoI9ixHgCAfq3TnaGcnBw9/vjjmjlzpiwWiyZNmqS4uDhZLBaVlZUpJydHX3zxhSZOnKhVq1bp+uuv78m6e1SLza6yWsIQAABG0OnOUEREhNasWaPTp09r3bp1Gj58uEpKSnT48GFJ0l133aWsrCzt2rWrTwchSaqoa5Ld7vg8LIAwBABAf9blCdT+/v665ZZbdMstt/REPR6htHWILNjiI1/vLi/FBAAA+hCX/KU/derURR9R74ucQ2Q8Vg8AQL/nkjB0/fXXq7q62vl1WVmZdu/e7Ypbu0XbY/VhhCEAAPo9l4QhHx+fdmv1WK1WzZ8/3xW3dou2zlA484UAAOj3XBKGEhIStGPHjrM39fJSY2OjK27tFm1zhugMAQDQ/3VrBerzrVu3Ttdff73S0tI0ZcoUffbZZ1+7QKOnK6thzhAAAEbRrc7QiRMn2n2dlJSkvXv3aubMmcrNzdWIESO0efNmlxTYUzIyMpScnKzU1NQLvkdnCAAA4zDZ7W0r6nSev7+/5s+fr0cffVTh4eE9UVevadubrKKiQiEhIZKk//jDbn14sFirbh6r21IT3VwhAAA4X0d/v7urW52h7du369NPP9WQIUO0YsUK1dXVXVIRnqZtmCyczhAAAP1et8JQamqqMjMztXnzZr3++usaNmyYnnvuOdlsNlfX5xaltQyTAQBgFJf0NNmsWbOUlZWl1atX66mnnlJycrL+/Oc/u6o2tymtpjMEAIBRuOTR+u985zt68cUXFR4erltvvdUVt3Sb+qYW1TQ6VtNmnSEAAPq/bj1av3HjRuXk5Dhfp06dkuR4quzGG290aYG9rby2SZLk7WVSiL9LVh4AAAAerFt/7ZcsWaIxY8YoJSVFN998s1JSUpSSkqLAwEBX19frnI/VB/jJZDK5uRoAANDTujVMVlhYqH/84x9au3at7r33Xk2dOtVlQSgjI0ODBg2SxWLR1KlTv3GPs/Lyci1YsECxsbEym80aMWKE3n333W6/f6nzSTLfbt8DAAD0HV0KQ8uWLVNWVlZP1aLNmzdr0aJFWr58ubKzszVu3DjNmjVLRUVFHZ7f2NiomTNn6vjx43rttdd08OBBbdiwQfHx8d2uwfkkGfOFAAAwhC4Nk506dUrXXXed/Pz8NHv2bN100026+uqr5efnmuCwZs0a3XfffbrnnnskSevXr9c777yjjRs3avHixRecv3HjRpWWlmrnzp3y9XV0cgYNGnRJNTi34ggiDAEAYARd6gxt3LhRBQUFeumllxQcHKwHHnhAkZGRuvnmm/Xiiy+qtLS024U0NjYqKytL6enpZ4vz8lJ6erp27drV4TVvvfWW0tLStGDBAkVHRyslJUUrVqxQS0vLRd+noaFBlZWV7V7nOnfOEAAA6P+6PGfIy8tLV1xxhVatWqWDBw/q448/1tSpU/W73/1OcXFxuvLKK7V69Wrl5eV16b4lJSVqaWlRdHR0u+PR0dEqKCjo8JqjR4/qtddeU0tLi959910tXbpUTz/9tH71q19d9H1Wrlwpq9XqfCUmtt9uo5TVpwEAMJRLXmdo1KhReuihh/TRRx8pNzdX8+bN044dO/TSSy+5or6vZbPZFBUVpeeee06TJk3S7bffrkceeUTr16+/6DVLlixRRUWF83Xy5Ml232fOEAAAxtLthXSamppUUFCg2tpaDRgwQOHh4YqKitK9996re++9t8v3i4yMlLe3twoLC9sdLywsVExMTIfXxMbGytfXV97e3s5jo0aNUkFBgRobGzucy2Q2m2U2my9aB3OGAAAwli51hqqqqvTss89qxowZCgkJ0aBBgzRq1CgNGDBAAwcO1H333ac9e/Z0qxA/Pz9NmjRJmZmZzmM2m02ZmZlKS0vr8Jrp06frq6++arcn2qFDhxQbG9vtSd3MGQIAwFg6HYbWrFmjQYMG6Q9/+IPS09P15ptvat++fTp06JB27dql5cuXq7m5Wddcc42uvfZaHT58uMvFLFq0SBs2bND//u//6ssvv9T8+fNVU1PjfLps7ty5WrJkifP8+fPnq7S0VAsXLtShQ4f0zjvvaMWKFVqwYEGX37sNc4YAADCWTg+T7dmzR9u3b9fo0aM7/P6UKVP0ve99T+vXr9cf/vAH7dixQ8OHD+9SMbfffruKi4u1bNkyFRQUaPz48dqyZYtzUnVubq68vM7mt8TERP3973/Xgw8+qLFjxyo+Pl4LFy7Uz3/+8y69bxu73a6yWsIQAABGYrLb7XZ3F+FOlZWVslqtqqiokMnPX2P++z1J0pe/vFb+ft7fcDUAAHCHc/9+h4SEXNK9XLJrfX/RNkTm7+tNEAIAwCC6HIZOnDih995776Jr/+Tn519yUe7CfCEAAIynS2HopZde0rBhw3TttddqyJAh+uMf/yjJMZfniSee0NSpU5WUlNQjhfYG5gsBAGA8XQpDjz32mO6//3599tlnmjlzpubPn6+lS5dq6NCheuGFFzR58mS9+uqrPVVrjyutaZIkhQawYz0AAEbRpUUXjxw5ooULF2rgwIHKyMhQUlKSPvroI+3fv1+jRo3qqRp7TRnDZAAAGE6XOkNNTU3y9/eXJCUkJMhisWj16tV9MghlZGQoOTlZqampzmNlbMUBAIDhdHkC9aZNm3TgwAFJkre3t8LCwlxeVG9YsGCBcnJy2q2YXVbLMBkAAEbTpTB0xRVXaPny5Ro9erQiIyNVX1+vX//613rllVeUk5Oj5ubmnqqzV1TU0RkCAMBoujRnaNu2bZKkw4cPKysrS9nZ2crOztaLL76o8vJy+fn5acSIEdq/f3+PFNvTyphADQCA4XRr1/rhw4dr+PDhuuOOO5zHjh07pk8++UR79+51WXG9rW3OUCidIQAADKNbYagjgwcP1uDBg3Xrrbe66pa9rrx1zlAYnSEAAAyj03OGcnNzu3TjvLy8LhfjbjxNBgCA8XQ6DKWmpuqHP/xhu6evzldRUaENGzYoJSVFr7/+uksK7C31TS1qaLZJYs4QAABG0ulhspycHD3++OOaOXOmLBaLJk2apLi4OFksFpWVlSknJ0dffPGFJk6cqFWrVun666/vybpdrry1K+TjZVKQ2WWjhwAAwMN1ujMUERGhNWvW6PTp01q3bp2GDx+ukpISHT58WJJ01113KSsrS7t27epzQUg6O18oNMBXJpPJzdUAAIDe0uUWiL+/v2655RbdcsstzmOnTp1STEyMfHz6bkelwhmGmC8EAICRdHkF6o5cf/31qqmpcX5dVlam3bt3u+LWvaa8jifJAAAwIpeEIR8fH1mtVufXVqtV8+fPd8Wte8z5e5OV17HGEAAARuSSMJSQkKAdO3acvamXlxobG11x6x5z/t5kFXSGAAAwJJdM8lm3bp2uv/56paWlacqUKfrss8+UlJTkilv3mrMLLtIZAgDASLrVGTpx4kS7r5OSkrR3717NnDlTubm5GjFihDZv3uySAntLWxiy0hkCAMBQutUZGjlypObPn69HH31U4eHhkiRfX1/ddtttuu2221xaYG9hx3oAAIypW52h7du369NPP9WQIUO0YsUK1dXVubquXse+ZAAAGFO3wlBqaqoyMzO1efNmvf766xo2bJiee+452Ww2V9fXayrqWWcIAAAjuqSnyWbNmqWsrCytXr1aTz31lJKTk/XnP//ZVbX1qgomUAMAYEguebT+O9/5jl588UWFh4fr1ltvdcUtex2P1gMAYEzdmkC9ceNG5eTkOF+nTp2S5Hiq7MYbb3Rpgb3FZnckQ54mAwDAWLoVhpYsWaIxY8YoJSVFN998s1JSUpSSkqLAwEBX19erAvy8ZfbxdncZAACgF3UrDBUWFrq6Do/AfCEAAIzHJXOG+qLz9yaTpFCGyAAAMBzDhqHz9yaT6AwBAGBEhg1DHaEzBACA8RCGzkEYAgDAeAhD52CYDAAA4yEMnYOtOAAAMB7C0DlYfRoAAOMhDJ2DYTIAAIyHMHQOtuIAAMB4CEPnsPoThgAAMBrC0DkIQwAAGA9h6BzBlm5t1QYAAPoww4ah8/cmM/t6sWM9AAAGZNgwdP7eZCFmukIAABiRYcPQ+YKZLwQAgCERhloF0xkCAMCQCEOtgv0JQwAAGBFhqFWImWEyAACMiDDUis4QAADGRBhqFWKhMwQAgBF5XBjKyMjQoEGDZLFYNHXqVO3evbtT17388ssymUyaM2dOt96XBRcBADAmjwpDmzdv1qJFi7R8+XJlZ2dr3LhxmjVrloqKir72uuPHj+tnP/uZrrjiim6/dzCdIQAADMmjwtCaNWt033336Z577lFycrLWr1+vgIAAbdy48aLXtLS06K677tIvfvELDRkypNvvzTAZAADG5DFhqLGxUVlZWUpPT3ce8/LyUnp6unbt2nXR6375y18qKipK9957b6fep6GhQZWVle1eEhOoAQAwKo8JQyUlJWppaVF0dHS749HR0SooKOjwmn/+8596/vnntWHDhk6/z8qVK2W1Wp2vxMRESVIQiy4CAGBIHhOGuqqqqkp33323NmzYoMjIyE5ft2TJElVUVDhfJ0+elCQF+rFJKwAARuQx7ZDIyEh5e3ursLCw3fHCwkLFxMRccP6RI0d0/PhxzZ4923nMZrNJknx8fHTw4EENHTr0guvMZrPMZvMFx/39POYfBQAA6EUe0xny8/PTpEmTlJmZ6Txms9mUmZmptLS0C84fOXKkPvvsM+3bt8/5uummm3TVVVdp3759zuGvzgqgMwQAgCF5VDtk0aJFmjdvniZPnqwpU6Zo7dq1qqmp0T333CNJmjt3ruLj47Vy5UpZLBalpKS0uz40NFSSLjjeGf6EIQAADMmjwtDtt9+u4uJiLVu2TAUFBRo/fry2bNninFSdm5srL6+eaWb5eXtMkwwAAPQik91ut7u7CHeqrKyU1WpVRUWFQkJC3F0OAADoBFf+/aYdAgAADI0wBAAADI0wBAAADI0wBAAADI0wBAAADM2wYSgjI0PJyclKTU11dykAAMCNeLSeR+sBAOhzeLQeAADARQhDAADA0AhDAADA0AhDAADA0AhDAADA0AhDAADA0AhDAADA0AhDAADA0AhDAADA0AhDAADA0AwbhtibDAAASOxNxt5kAAD0QexNBgAA4CKEIQAAYGiEIQAAYGiEIQAAYGiEIQAAYGiEIQAAYGiEIQAAYGiEIQAAYGiEIQAAYGiEIQAAYGiGDUPsTQYAACT2JmNvMgAA+iD2JgMAAHARwhAAADA0whAAADA0whAAADA0whAAADA0whAAADA0whAAADA0whAAADA0whAAADA0whAAADA0w4Yh9iYDAAASe5OxNxkAAH0Qe5MBAAC4CGEIAAAYGmEIAAAYGmEIAAAYGmEIAAAYGmEIAAAYmseFoYyMDA0aNEgWi0VTp07V7t27L3ruhg0bdMUVVygsLExhYWFKT0//2vMBAADO51FhaPPmzVq0aJGWL1+u7OxsjRs3TrNmzVJRUVGH53/44Ye688479cEHH2jXrl1KTEzUNddco7y8vF6uHAAA9FUeteji1KlTlZqaqnXr1kmSbDabEhMTdf/992vx4sXfeH1LS4vCwsK0bt06zZ07t1PvyaKLAAD0Pf1y0cXGxkZlZWUpPT3deczLy0vp6enatWtXp+5RW1urpqYmhYeHX/SchoYGVVZWtnsBAADj8pgwVFJSopaWFkVHR7c7Hh0drYKCgk7d4+c//7ni4uLaBarzrVy5Ular1flKTEy8pLoBAEDf5jFh6FI98cQTevnll/XGG2/IYrFc9LwlS5aooqLC+Tp58mQvVgkAADyNj7sLaBMZGSlvb28VFha2O15YWKiYmJivvXb16tV64okn9I9//ENjx4792nPNZrPMZvMl1wsAAPoHj+kM+fn5adKkScrMzHQes9lsyszMVFpa2kWvW7VqlR577DFt2bJFkydP7o1SAQBAP+IxnSFJWrRokebNm6fJkydrypQpWrt2rWpqanTPPfdIkubOnav4+HitXLlSkvTkk09q2bJl2rRpkwYNGuScWxQUFKSgoCC3/RwAAKDv8KgwdPvtt6u4uFjLli1TQUGBxo8fry1btjgnVefm5srL62wz69lnn1VjY6NuueWWdvdZvny5/vu//7s3SwcAAH2UR60z5A6sMwQAQN/TL9cZAgAAcAfCEAAAMDTCEAAAMDTCEAAAMDTCEAAAMDTDhqGMjAwlJycrNTXV3aUAAAA34tF6Hq0HAKDP4dF6AAAAFyEMAQAAQyMMAQAAQyMMAQAAQyMMAQAAQyMMAQAAQyMMAQAAQyMMAQAAQyMMAQAAQyMMAQAAQzNsGGJvMgAAILE3GXuTAQDQB7E3GQAAgIsQhgAAgKERhgAAgKERhgAAgKERhgAAgKERhgAAgKERhgAAgKERhgAAgKERhgAAgKERhgAAgKEZNgyxNxkAAJDYm4y9yQAA6IPYmwwAAMBFCEMAAMDQCEMAAMDQCEMAAMDQCEMAAMDQCEMAAMDQCEMAAMDQCEMAAMDQCEMAAMDQCEMAAMDQDBuG2JsMAABI7E3G3mQAAPRB7E0GAADgIoQhAABgaIQhAABgaIQhAABgaIQhAABgaIQhAABgaB4XhjIyMjRo0CBZLBZNnTpVu3fv/trzX331VY0cOVIWi0VjxozRu+++20uVAgCA/sCjwtDmzZu1aNEiLV++XNnZ2Ro3bpxmzZqloqKiDs/fuXOn7rzzTt17773au3ev5syZozlz5ujzzz/v5coBAEBf5VGLLk6dOlWpqalat26dJMlmsykxMVH333+/Fi9efMH5t99+u2pqavT22287j33rW9/S+PHjtX79+k69J4suAgDQ97jy77ePi2q6ZI2NjcrKytKSJUucx7y8vJSenq5du3Z1eM2uXbu0aNGidsdmzZqlN99886Lv09DQoIaGBufXFRUVkhz/UAEAQN/Q9nfbFT0djwlDJSUlamlpUXR0dLvj0dHROnDgQIfXFBQUdHh+QUHBRd9n5cqV+sUvfnHB8cTExG5UDQAA3OnMmTOyWq2XdA+PCUO9ZcmSJe26STabTaWlpYqIiJDJZLrk+6empmrPnj2XfB+j3a+yslKJiYk6efKky4YrPfVn7Qv38/Tfhyf/s3P1/Tz9d2Gk+/G78Kz7VVRUKCkpSeHh4Zd8L48JQ5GRkfL29lZhYWG744WFhYqJienwmpiYmC6dL0lms1lms7ndsdDQ0O4V3QFvb2+Xzj0y2v1CQkJcdj9P/1k9/X6S5/4+PP2fnZF+F0a8H78Lz7mf5JhSc8n3cEEdLuHn56dJkyYpMzPTecxmsykzM1NpaWkdXpOWltbufEnaunXrRc/vDQsWLOB+HsLTf1ZPv5+rubI+T/9nZ6TfhRHv50qe/rN6+v1cxaOeJtu8ebPmzZun3/3ud5oyZYrWrl2rV155RQcOHFB0dLTmzp2r+Ph4rVy5UpLj0foZM2boiSee0A033KCXX35ZK1asUHZ2tlJSUtz806AreKrPs/D78Bz8LjwHvwvP0i+fJpMcj8oXFxdr2bJlKigo0Pjx47VlyxbnJOnc3Nx27bBp06Zp06ZNevTRR/Xwww9r+PDhevPNNwlCfZDZbNby5csvGMKEe/D78Bz8LjwHvwvP4srfh0d1hgAAAHqbx8wZAgAAcAfCEAAAMDTCEAAAMDTCEAAAMDTCENxq5cqVSk1NVXBwsKKiojRnzhwdPHjQ3WVB0hNPPCGTyaQHHnjA3aUYVl5env793/9dERER8vf315gxY/TJJ5+4uyzDaWlp0dKlSzV48GD5+/tr6NCheuyxx1yyJxa+3vbt2zV79mzFxcXJZDJdsPeo3W7XsmXLFBsbK39/f6Wnp+vw4cNdfh/CENxq27ZtWrBggf71r39p69atampq0jXXXKOamhp3l2Zoe/bs0e9+9zuNHTvW3aUYVllZmaZPny5fX1/97W9/U05Ojp5++mmFhYW5uzTDefLJJ/Xss89q3bp1+vLLL/Xkk09q1apV+u1vf+vu0vq9mpoajRs3ThkZGR1+f9WqVfrNb36j9evX6+OPP1ZgYKBmzZql+vr6Lr0Pj9bDoxQXFysqKkrbtm3TlVde6e5yDKm6uloTJ07UM888o1/96lcaP3681q5d6+6yDGfx4sX66KOPtGPHDneXYng33nijoqOj9fzzzzuP3XzzzfL399ef/vQnN1ZmLCaTSW+88YbmzJkjydEViouL009/+lP97Gc/k+TYryw6OlovvPCC7rjjjk7fm84QPEpFRYUkuWTjPXTPggULdMMNNyg9Pd3dpRjaW2+9pcmTJ+vWW29VVFSUJkyYoA0bNri7LEOaNm2aMjMzdejQIUnSp59+qn/+85+67rrr3FyZsR07dkwFBQXt/l1ltVo1depU7dq1q0v38qgVqGFsNptNDzzwgKZPn84q4m7y8ssvKzs726W7VKN7jh49qmeffVaLFi3Sww8/rD179ugnP/mJ/Pz8NG/ePHeXZyiLFy9WZWWlRo4cKW9vb7W0tOjxxx/XXXfd5e7SDK2goECSnLtUtImOjnZ+r7MIQ/AYCxYs0Oeff65//vOf7i7FkE6ePKmFCxdq69atslgs7i7H8Gw2myZPnqwVK1ZIkiZMmKDPP/9c69evJwz1sldeeUX/93//p02bNmn06NHat2+fHnjgAcXFxfG76CcYJoNH+PGPf6y3335bH3zwgRISEtxdjiFlZWWpqKhIEydOlI+Pj3x8fLRt2zb95je/kY+Pj1paWtxdoqHExsYqOTm53bFRo0YpNzfXTRUZ13/9139p8eLFuuOOOzRmzBjdfffdevDBB52bhsM9YmJiJEmFhYXtjhcWFjq/11mEIbiV3W7Xj3/8Y73xxht6//33NXjwYHeXZFhXX321PvvsM+3bt8/5mjx5su666y7t27dP3t7e7i7RUKZPn37BMhOHDh3SwIED3VSRcdXW1rbbJFySvL29ZbPZ3FQRJGnw4MGKiYlRZmam81hlZaU+/vhjpaWldeleDJPBrRYsWKBNmzbpL3/5i4KDg53jvFarVf7+/m6uzliCg4MvmKsVGBioiIgI5nC5wYMPPqhp06ZpxYoVuu2227R7924999xzeu6559xdmuHMnj1bjz/+uJKSkjR69Gjt3btXa9as0fe+9z13l9bvVVdX66uvvnJ+fezYMe3bt0/h4eFKSkrSAw88oF/96lcaPny4Bg8erKVLlyouLs75xFmn2QE3ktTh6w9/+IO7S4Pdbp8xY4Z94cKF7i7DsP7617/aU1JS7Gaz2T5y5Ej7c8895+6SDKmystK+cOFCe1JSkt1isdiHDBlif+SRR+wNDQ3uLq3f++CDDzr8GzFv3jy73W6322w2+9KlS+3R0dF2s9lsv/rqq+0HDx7s8vuwzhAAADA05gwBAABDIwwBAABDIwwBAABDIwwBAABDIwwBAABDIwwBAABDIwwBAABDIwwBAABDIwwBAABDIwwB6DNmzJghk8kkk8kkPz8/jRo1Sps2bbrgvHvuuUePPvpol68DYEyEIQB9gt1u1969e7V69WqdPn1aBw8e1LXXXqu5c+fq2LFjzvNaWlr09ttv66abburSdQCMizAEoE84fPiwqqqqdO211yomJkaDBw/Wvffeq5aWFh08eNB53s6dO+Xr66vU1NQuXQfAuAhDAPqErKwshYWFKTk5WZJ06tQpPfLIIzKbzRo7dqzzvLfeekuzZ8+WyWTq0nUAjIswBKBPyM7OVkVFhYKDg+Xv76/ExERt3bpV69evV1xcnPO8v/zlL84hss5e9/bbb+uyyy7T8OHD9fvf/77XfzYA7mWy2+12dxcBAN/k6quv1ujRo/WTn/xE5eXl+tnPfqbp06fr8ccfd57z5ZdfKjU1VSUlJbJYLJ26rrm5WcnJyfrggw9ktVo1adIk7dy5UxEREW75OQH0PjpDAPqE7OxsTZs2TcOGDdPkyZP1zDPP6Mknn9Tx48ed57z11luaOXOmMwh15rrdu3dr9OjRio+PV1BQkK677jq99957vfzTAXAnwhAAj3f06FGVl5crJSXFeSw5OVlDhw5t94j8X/7yF33nO9/p0nX5+fmKj493fj8+Pl55eXk9+eMA8DCEIQAeLysrS76+vhoxYkS741dffbXeeOMNSVJRUZE++eQT3XjjjV26DgAIQwA8XnZ2toYPHy4/P792x9PT05WVlaVTp07pr3/9q6ZMmaLIyMguXRcXF9euE5SXl9duQjaA/o8J1AD6hZtuukmXX365HnrooS5d19zcrFGjRunDDz9kAjVgUD7uLgAAXOHyyy/XnXfe2eXrfHx89PTTT+uqq66SzWbTQw89RBACDIbOEAAAMDTmDAEAAEMjDAEAAEMjDAEAAEMjDAEAAEMjDAEAAEMjDAEAAEMjDAEAAEMjDAEAAEMjDAEAAEMjDAEAAEMjDAEAAEMjDAEAAEP7/wEzG/ZIDK0zGAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from galpy.potential import MWPotential2014\n", "\n", "MWPotential2014.plotRotcurve(Rrange=[0.01, 10.0], grid=1001);" ] }, { "cell_type": "markdown", "id": "b118ea5561624da68c537baed56e602f", "metadata": { "papermill": { "duration": 0.004434, "end_time": "2026-05-16T13:48:05.897218+00:00", "exception": false, "start_time": "2026-05-16T13:48:05.892784+00:00", "status": "completed" }, "tags": [] }, "source": [ "## 2. Natural Units\n", "\n", "Internally, galpy uses a **natural unit system**, where:\n", "\n", "- Positions are scaled as $x = X / $ ro\n", "- Velocities are scaled as $v = V / $ vo,\n", "\n", "where the default values of `ro` and `vo` are 8 kpc and 220 km/s, respectively. These can be changed when initializing potentials, orbits, or other galpy objects or they can be changed in the [configuration file](../../installation.rst#configuration-file). So when `normalize=1.` is set, the circular velocity is 1 at R=1, which corresponds to 220 km/s at 8 kpc for a Milky-Way-like galaxy.\n", "\n", "The `galpy.util.conversion` module helps convert between natural and physical units.\n", "For example, the orbital period of a circular orbit at R=1 is $2\\pi$ in natural units.\n", "In physical units:" ] }, { "cell_type": "code", "execution_count": 6, "id": "938c804e27f84196a10c8828c723f798", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:05.907661Z", "iopub.status.busy": "2026-05-16T13:48:05.907455Z", "iopub.status.idle": "2026-05-16T13:48:05.911648Z", "shell.execute_reply": "2026-05-16T13:48:05.910804Z" }, "papermill": { "duration": 0.010708, "end_time": "2026-05-16T13:48:05.912542+00:00", "exception": false, "start_time": "2026-05-16T13:48:05.901834+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Orbital period at R=1: 0.22340544439051707 Gyr\n" ] } ], "source": [ "from galpy.util import conversion\n", "\n", "print(\n", " \"Orbital period at R=1:\", 2.0 * numpy.pi * conversion.time_in_Gyr(220.0, 8.0), \"Gyr\"\n", ")" ] }, { "cell_type": "markdown", "id": "504fb2a444614c0babb325280ed9130a", "metadata": { "papermill": { "duration": 0.004412, "end_time": "2026-05-16T13:48:05.921687+00:00", "exception": false, "start_time": "2026-05-16T13:48:05.917275+00:00", "status": "completed" }, "tags": [] }, "source": [ "About 223 Myr, as expected for a solar-like orbit.\n", "\n", "We can also convert forces and densities. For example, the vertical force at\n", "1.1 kpc above the plane at the solar radius in `MWPotential2014`:" ] }, { "cell_type": "code", "execution_count": 7, "id": "59bbdb311c014d738909a11f9e486628", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:05.931694Z", "iopub.status.busy": "2026-05-16T13:48:05.931515Z", "iopub.status.idle": "2026-05-16T13:48:05.935440Z", "shell.execute_reply": "2026-05-16T13:48:05.934651Z" }, "papermill": { "duration": 0.009974, "end_time": "2026-05-16T13:48:05.936254+00:00", "exception": false, "start_time": "2026-05-16T13:48:05.926280+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fz in pc/Myr^2: 2.0259181889046634\n", "Fz in 2*pi*G*Msun/pc^2: 71.67605643105574\n" ] } ], "source": [ "Fz = -MWPotential2014.zforce(1.0, 1.1 / 8.0)\n", "print(\"Fz in pc/Myr^2:\", Fz * conversion.force_in_pcMyr2(220.0, 8.0))\n", "print(\"Fz in 2*pi*G*Msun/pc^2:\", Fz * conversion.force_in_2piGmsolpc2(220.0, 8.0))" ] }, { "cell_type": "markdown", "id": "b43b363d81ae4b689946ece5c682cd59", "metadata": { "papermill": { "duration": 0.004376, "end_time": "2026-05-16T13:48:05.945156+00:00", "exception": false, "start_time": "2026-05-16T13:48:05.940780+00:00", "status": "completed" }, "tags": [] }, "source": [ "The `conversion` module also has functions for densities (`dens_in_msolpc3`),\n", "masses (`mass_in_msol`), surface densities, and frequencies.\n", "See the [API documentation](../../reference/potential.rst) for a full list." ] }, { "cell_type": "markdown", "id": "8a65eabff63a45729fe45fb5ade58bdc", "metadata": { "papermill": { "duration": 0.004404, "end_time": "2026-05-16T13:48:05.954300+00:00", "exception": false, "start_time": "2026-05-16T13:48:05.949896+00:00", "status": "completed" }, "tags": [] }, "source": [ "## 3. Physical Units with astropy\n", "\n", "Any input to a galpy Potential, Orbit, or other object can be specified in physical units\n", "using astropy Quantities. For example, we can set up a Miyamoto-Nagai potential with\n", "a mass of $5 \\times 10^{10}\\,M_\\odot$, a scale length of 3 kpc, and a scale height of 300 pc:" ] }, { "cell_type": "code", "execution_count": 8, "id": "c3933fab20d04ec698c2621248eb3be0", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:05.964203Z", "iopub.status.busy": "2026-05-16T13:48:05.963959Z", "iopub.status.idle": "2026-05-16T13:48:05.968136Z", "shell.execute_reply": "2026-05-16T13:48:05.967306Z" }, "papermill": { "duration": 0.010021, "end_time": "2026-05-16T13:48:05.968790+00:00", "exception": false, "start_time": "2026-05-16T13:48:05.958769+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "from astropy import units\n", "\n", "mp_phys = MiyamotoNagaiPotential(\n", " amp=5e10 * units.Msun, a=3.0 * units.kpc, b=300.0 * units.pc\n", ")" ] }, { "cell_type": "markdown", "id": "4dd4641cc4064e0191573fe9c69df29b", "metadata": { "papermill": { "duration": 0.004485, "end_time": "2026-05-16T13:48:05.977939+00:00", "exception": false, "start_time": "2026-05-16T13:48:05.973454+00:00", "status": "completed" }, "tags": [] }, "source": [ "When a potential is set up with physical-unit inputs, outputs are returned in physical units\n", "by default. The circular velocity at 10 kpc:" ] }, { "cell_type": "code", "execution_count": 9, "id": "8309879909854d7188b41380fd92a7c3", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:05.988385Z", "iopub.status.busy": "2026-05-16T13:48:05.988182Z", "iopub.status.idle": "2026-05-16T13:48:05.997873Z", "shell.execute_reply": "2026-05-16T13:48:05.997123Z" }, "papermill": { "duration": 0.015938, "end_time": "2026-05-16T13:48:05.998530+00:00", "exception": false, "start_time": "2026-05-16T13:48:05.982592+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "v_circ at 10 kpc: 135.70512798497137 km/s\n" ] } ], "source": [ "print(\"v_circ at 10 kpc:\", mp_phys.vcirc(10.0 * units.kpc), \"km/s\")" ] }, { "cell_type": "markdown", "id": "3ed186c9a28b402fb0bc4494df01f08d", "metadata": { "papermill": { "duration": 0.004415, "end_time": "2026-05-16T13:48:06.007701+00:00", "exception": false, "start_time": "2026-05-16T13:48:06.003286+00:00", "status": "completed" }, "tags": [] }, "source": [ "If you have `astropy-units = True` in your galpy configuration file, the return value\n", "will be an astropy Quantity with units attached. Without that setting, the value is\n", "returned as a plain float in the default units (km/s for velocities, kpc for distances, etc.).\n", "\n", "
\n", "\n", "**Warning**\n", "\n", "If you do not specify arguments as a Quantity, galpy assumes they are in natural units.\n", "For example, `mp_phys.vcirc(10.)` treats the input as 10 times the distance scale (80 kpc by default),\n", "not 10 kpc.\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "545263ba", "metadata": { "papermill": { "duration": 0.004411, "end_time": "2026-05-16T13:48:06.016719+00:00", "exception": false, "start_time": "2026-05-16T13:48:06.012308+00:00", "status": "completed" }, "tags": [] }, "source": [ "### Default physical units\n", "\n", "When outputs are returned in physical units, the following default units are used:\n", "\n", "| Quantity | Default unit |\n", "|----------|-------------|\n", "| position | kpc |\n", "| velocity | km/s |\n", "| angular velocity | km/s/kpc |\n", "| energy | (km/s)^2 |\n", "| angular momentum | km/s x kpc |\n", "| actions | km/s x kpc |\n", "| frequencies | 1/Gyr |\n", "| time | Gyr |\n", "| period | Gyr |\n", "| potential | (km/s)^2 |\n", "| force | km/s/Myr |\n", "| density | Msun/pc^3 |\n", "| surface density | Msun/pc^2 |\n", "| mass | Msun |\n", "| proper motion | mas/yr |\n", "\n", "
\n", "\n", "**Warning**\n", "\n", "When returned as a `Quantity`, frequencies get units of 1/Gyr, although in detail this means rad/Gyr (not cycles/Gyr).\n", "\n", "
\n", "\n", "
\n", "\n", "**Tip**\n", "\n", "When you specify all inputs as astropy Quantities with units and receive outputs as Quantities, the internal unit-conversion parameters `ro` and `vo` are irrelevant -- you do not need to set them.\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "74b0a0bd", "metadata": { "papermill": { "duration": 0.004405, "end_time": "2026-05-16T13:48:06.025766+00:00", "exception": false, "start_time": "2026-05-16T13:48:06.021361+00:00", "status": "completed" }, "tags": [] }, "source": [ "### Toggling physical units on and off\n", "\n", "You can toggle physical-unit output on or off for an object, or override it per call\n", "using the `use_physical` keyword. You can also pass `quantity=True` to any evaluation to get the result as an astropy `Quantity`." ] }, { "cell_type": "code", "execution_count": 10, "id": "5e218a77", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:06.036021Z", "iopub.status.busy": "2026-05-16T13:48:06.035832Z", "iopub.status.idle": "2026-05-16T13:48:06.040524Z", "shell.execute_reply": "2026-05-16T13:48:06.039458Z" }, "papermill": { "duration": 0.010625, "end_time": "2026-05-16T13:48:06.041160+00:00", "exception": false, "start_time": "2026-05-16T13:48:06.030535+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Natural units: 0.6623918492376609\n", "Physical units: 145.7262068322854 km/s\n", "Per-call override of use_physical: 0.616841490840779\n", "Per-call override of quantity: 135.70512798497137 km / s\n" ] } ], "source": [ "mp_phys.turn_physical_off()\n", "print(\"Natural units:\", mp_phys.vcirc(1.0))\n", "mp_phys.turn_physical_on()\n", "print(\"Physical units:\", mp_phys.vcirc(1.0), \"km/s\")\n", "# Per-call overrides:\n", "print(\n", " \"Per-call override of use_physical:\",\n", " mp_phys.vcirc(10.0 * units.kpc, use_physical=False),\n", ")\n", "print(\"Per-call override of quantity:\", mp_phys.vcirc(10.0 * units.kpc, quantity=True))" ] }, { "cell_type": "markdown", "id": "cb1e1581032b452c9409d6c6813c49d1", "metadata": { "papermill": { "duration": 0.004595, "end_time": "2026-05-16T13:48:06.050468+00:00", "exception": false, "start_time": "2026-05-16T13:48:06.045873+00:00", "status": "completed" }, "tags": [] }, "source": [ "## 4. First Orbit Integration\n", "\n", "Let's integrate an orbit in the Miyamoto-Nagai potential. We initialize an orbit\n", "with a five-dimensional initial condition `[R, vR, vT, z, vz]` (axisymmetric, so no azimuth):" ] }, { "cell_type": "code", "execution_count": 11, "id": "379cbbc1e968416e875cc15c1202d7eb", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:06.060881Z", "iopub.status.busy": "2026-05-16T13:48:06.060679Z", "iopub.status.idle": "2026-05-16T13:48:06.296235Z", "shell.execute_reply": "2026-05-16T13:48:06.295157Z" }, "papermill": { "duration": 0.242206, "end_time": "2026-05-16T13:48:06.297414+00:00", "exception": false, "start_time": "2026-05-16T13:48:06.055208+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from galpy.orbit import Orbit\n", "\n", "mp = MiyamotoNagaiPotential(a=0.5, b=0.0375, amp=1.0, normalize=1.0)\n", "o = Orbit([1.0, 0.1, 1.1, 0.0, 0.1])\n", "ts = numpy.linspace(0, 100, 10000)\n", "o.integrate(ts, mp)\n", "o.plot();" ] }, { "cell_type": "markdown", "id": "277c27b1587741f2af2001be3712ef0d", "metadata": { "papermill": { "duration": 0.005642, "end_time": "2026-05-16T13:48:06.309430+00:00", "exception": false, "start_time": "2026-05-16T13:48:06.303788+00:00", "status": "completed" }, "tags": [] }, "source": [ "The orbit plot shows R vs. z. We can check energy conservation:" ] }, { "cell_type": "code", "execution_count": 12, "id": "db7b79bc585a40fcaf58bf750017e135", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:06.321919Z", "iopub.status.busy": "2026-05-16T13:48:06.321706Z", "iopub.status.idle": "2026-05-16T13:48:06.511538Z", "shell.execute_reply": "2026-05-16T13:48:06.510599Z" }, "papermill": { "duration": 0.197339, "end_time": "2026-05-16T13:48:06.512512+00:00", "exception": false, "start_time": "2026-05-16T13:48:06.315173+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "o.plotE(normed=True);" ] }, { "cell_type": "markdown", "id": "916684f9a58a4a2aa5f864670399430d", "metadata": { "papermill": { "duration": 0.005921, "end_time": "2026-05-16T13:48:06.524895+00:00", "exception": false, "start_time": "2026-05-16T13:48:06.518974+00:00", "status": "completed" }, "tags": [] }, "source": [ "Energy is well conserved. See the [Orbit Integration and Plotting](../orbits/integration_and_plotting.ipynb) tutorial for more on integrators and energy conservation." ] }, { "cell_type": "markdown", "id": "33b0902fd34d4ace834912fa1002cf8e", "metadata": { "papermill": { "duration": 0.005908, "end_time": "2026-05-16T13:48:06.536838+00:00", "exception": false, "start_time": "2026-05-16T13:48:06.530930+00:00", "status": "completed" }, "tags": [] }, "source": [ "We can also integrate in the composite potential defined earlier:" ] }, { "cell_type": "code", "execution_count": 13, "id": "f6fa52606d8c4a75a9b52967216f8f3f", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:06.550047Z", "iopub.status.busy": "2026-05-16T13:48:06.549834Z", "iopub.status.idle": "2026-05-16T13:48:06.755247Z", "shell.execute_reply": "2026-05-16T13:48:06.754226Z" }, "papermill": { "duration": 0.213315, "end_time": "2026-05-16T13:48:06.756337+00:00", "exception": false, "start_time": "2026-05-16T13:48:06.543022+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mp = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=0.6)\n", "nfp = NFWPotential(a=4.5, normalize=0.35)\n", "hp = HernquistPotential(a=0.6 / 8, normalize=0.05)\n", "o = Orbit([1.0, 0.1, 1.1, 0.0, 0.1])\n", "ts = numpy.linspace(0, 100, 10000)\n", "o.integrate(ts, mp + hp + nfp)\n", "o.plot();" ] }, { "cell_type": "markdown", "id": "f5a1fa73e5044315a093ec459c9be902", "metadata": { "papermill": { "duration": 0.00785, "end_time": "2026-05-16T13:48:06.772492+00:00", "exception": false, "start_time": "2026-05-16T13:48:06.764642+00:00", "status": "completed" }, "tags": [] }, "source": [ "## 5. Escape Velocity Curves\n", "\n", "Just like rotation curves, we can plot escape velocity curves for any potential or\n", "combination of potentials:" ] }, { "cell_type": "code", "execution_count": 14, "id": "cdf66aed5cc84ca1b48e60bad68798a8", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:06.789889Z", "iopub.status.busy": "2026-05-16T13:48:06.789626Z", "iopub.status.idle": "2026-05-16T13:48:06.979364Z", "shell.execute_reply": "2026-05-16T13:48:06.978489Z" }, "papermill": { "duration": 0.19944, "end_time": "2026-05-16T13:48:06.980088+00:00", "exception": false, "start_time": "2026-05-16T13:48:06.780648+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mp_single = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=1.0)\n", "mp_single.plotEscapecurve(Rrange=[0.01, 10.0], grid=1001);" ] }, { "cell_type": "markdown", "id": "7a27b1fb", "metadata": { "papermill": { "duration": 0.007986, "end_time": "2026-05-16T13:48:06.996389+00:00", "exception": false, "start_time": "2026-05-16T13:48:06.988403+00:00", "status": "completed" }, "tags": [] }, "source": [ "We can do the same for the `MWPotential2014` composite potential:" ] }, { "cell_type": "code", "execution_count": 15, "id": "28d3efd5258a48a79c179ea5c6759f01", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:07.013853Z", "iopub.status.busy": "2026-05-16T13:48:07.013624Z", "iopub.status.idle": "2026-05-16T13:48:07.269487Z", "shell.execute_reply": "2026-05-16T13:48:07.268478Z" }, "papermill": { "duration": 0.265578, "end_time": "2026-05-16T13:48:07.270187+00:00", "exception": false, "start_time": "2026-05-16T13:48:07.004609+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "MWPotential2014.plotEscapecurve(Rrange=[0.01, 10.0], grid=1001);" ] }, { "cell_type": "markdown", "id": "3f9bc0b9dd2c44919cc8dcca39b469f8", "metadata": { "papermill": { "duration": 0.007904, "end_time": "2026-05-16T13:48:07.286597+00:00", "exception": false, "start_time": "2026-05-16T13:48:07.278693+00:00", "status": "completed" }, "tags": [] }, "source": [ "The escape velocity at the solar radius in `MWPotential2014`:" ] }, { "cell_type": "code", "execution_count": 16, "id": "0e382214b5f147d187d36a2058b9c724", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:48:07.303521Z", "iopub.status.busy": "2026-05-16T13:48:07.303332Z", "iopub.status.idle": "2026-05-16T13:48:07.307205Z", "shell.execute_reply": "2026-05-16T13:48:07.306259Z" }, "papermill": { "duration": 0.013223, "end_time": "2026-05-16T13:48:07.307879+00:00", "exception": false, "start_time": "2026-05-16T13:48:07.294656+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Escape velocity at R=1 (natural units): 2.3316389848832784\n", "Escape velocity at solar radius: 512.9605766743213 km/s\n" ] } ], "source": [ "v_esc = MWPotential2014.vesc(1.0)\n", "print(\"Escape velocity at R=1 (natural units):\", v_esc)\n", "print(\"Escape velocity at solar radius:\", v_esc * 220.0, \"km/s\")" ] }, { "cell_type": "markdown", "id": "5b09d5ef5b5e4bb6ab9b829b10b6a29f", "metadata": { "papermill": { "duration": 0.007848, "end_time": "2026-05-16T13:48:07.324069+00:00", "exception": false, "start_time": "2026-05-16T13:48:07.316221+00:00", "status": "completed" }, "tags": [] }, "source": [ "This is approximately 513 km/s, consistent with direct measurements of the\n", "Milky Way's escape velocity (e.g., [Smith et al. 2007](http://adsabs.harvard.edu/abs/2007MNRAS.379..755S); [Piffl et al. 2014](http://adsabs.harvard.edu/abs/2014A%26A...562A..91P)).\n", "\n", "---\n", "\n", "## Next steps\n", "\n", "Explore the rest of galpy's documentation:\n", "\n", "- [Introduction to Potentials](../potentials/introduction.ipynb) — evaluate potentials, forces, densities, and orbital frequencies\n", "- [Orbit Initialization](../orbits/initialization.ipynb) — initialize orbits from various coordinate systems\n", "- [Milky Way-like Potentials](../potentials/milky_way_potentials.ipynb) — built-in models for the Milky Way\n", "- [Action-Angle Coordinates](../action_angle/introduction.ipynb) — compute orbital actions, frequencies, and angles" ] } ], "metadata": { "kernelspec": { "display_name": "py312", "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": "3.13.13" }, "papermill": { "default_parameters": {}, "duration": 6.853677, "end_time": "2026-05-16T13:48:07.847621+00:00", "environment_variables": {}, "exception": null, "input_path": "doc/source/tutorials/getting_started/rotation_curves_and_units.ipynb", "output_path": "doc/source/tutorials/getting_started/rotation_curves_and_units.ipynb", "parameters": {}, "start_time": "2026-05-16T13:48:00.993944+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }