\n",
"\n",
"**This is a fixed-text formatted version of a Jupyter notebook**\n",
"\n",
"- Try online [![Binder](https://mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.10?urlpath=lab/tree/hess.ipynb)\n",
"- You can contribute with your own notebooks in this\n",
"[GitHub repository](https://github.com/gammapy/gammapy/tree/master/tutorials).\n",
"- **Source files:**\n",
"[hess.ipynb](../_static/notebooks/hess.ipynb) |\n",
"[hess.py](../_static/notebooks/hess.py)\n",
"
\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# H.E.S.S. with Gammapy\n",
"\n",
"This tutorial explains how to analyse [H.E.S.S.](https://www.mpi-hd.mpg.de/hfm/HESS) data with Gammapy.\n",
"\n",
"We will analyse four observation runs of the Crab nebula, which are part of the [H.E.S.S. first public test data release](https://www.mpi-hd.mpg.de/hfm/HESS/pages/dl3-dr1/). In this tutorial we will make an image and a spectrum. The [light_curve.ipynb](light_curve.ipynb) notbook contains an example how to make a light curve.\n",
"\n",
"To do a 3D analysis, one needs to do a 3D background estimate. In [background_model.ipynb](background_model.ipynb) we have started to make a background model, and in this notebook we have a first look at a 3D analysis. But the results aren't OK yet, the background model needs to be improved. In this analysis, we also don't use the energy dispersion IRF yet, and we only analyse the data in the 1 TeV to 10 TeV range. The H.E.S.S. data was only released very recently, and 3D analysis in Gammapy is new. This tutorial will be improved soon."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import astropy.units as u\n",
"from astropy.coordinates import SkyCoord\n",
"from regions import CircleSkyRegion\n",
"from gammapy.data import DataStore\n",
"from gammapy.maps import Map, MapAxis, WcsGeom, WcsNDMap\n",
"from gammapy.cube import MapMaker, MapFit, PSFKernel\n",
"from gammapy.cube.models import SkyModel\n",
"from gammapy.spectrum.models import PowerLaw, ExponentialCutoffPowerLaw\n",
"from gammapy.image.models import SkyGaussian, SkyPointSource\n",
"from gammapy.detect import TSMapEstimator\n",
"from gammapy.scripts import SpectrumAnalysisIACT"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Data access\n",
"\n",
"To access the data, we use the `DataStore`, and we use the ``obs_table`` to select the Crab runs."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"data_store = DataStore.from_file(\n",
" \"$GAMMAPY_DATA/hess-dl3-dr1/hess-dl3-dr3-with-background.fits.gz\"\n",
")\n",
"mask = data_store.obs_table[\"TARGET_NAME\"] == \"Crab\"\n",
"obs_table = data_store.obs_table[mask]\n",
"observations = data_store.get_observations(obs_table[\"OBS_ID\"])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# pos_crab = SkyCoord.from_name('Crab')\n",
"pos_crab = SkyCoord(83.633, 22.014, unit=\"deg\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Maps\n",
"\n",
"Let's make some 3D cubes, as well as 2D images.\n",
"\n",
"For the energy, we make 5 bins from 1 TeV to 10 TeV."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"energy_axis = MapAxis.from_edges(\n",
" np.logspace(0, 1.0, 5), unit=\"TeV\", name=\"energy\", interp=\"log\"\n",
")\n",
"geom = WcsGeom.create(\n",
" skydir=(83.633, 22.014),\n",
" binsz=0.02,\n",
" width=(5, 5),\n",
" coordsys=\"CEL\",\n",
" proj=\"TAN\",\n",
" axes=[energy_axis],\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 3.27 s, sys: 305 ms, total: 3.58 s\n",
"Wall time: 3.58 s\n"
]
}
],
"source": [
"%%time\n",
"maker = MapMaker(geom, offset_max=\"2.5 deg\")\n",
"maps = maker.run(observations)\n",
"images = maker.make_images()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"dict_keys(['counts', 'exposure', 'background'])"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"maps.keys()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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\n",
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