Files
AstronomicalData/04_select.ipynb
2020-10-15 14:35:03 -04:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Lesson 4\n",
"\n",
"This is the fourth in a series of lessons related to astronomy data.\n",
"\n",
"As a running example, we are replicating parts of the analysis in a recent paper, \"[Off the beaten path: Gaia reveals GD-1 stars outside of the main stream](https://arxiv.org/abs/1805.00425)\" by Adrian M. Price-Whelan and Ana Bonaca.\n",
"\n",
"In the first notebook, we wrote ADQL queries and used them to select and download data from the Gaia server.\n",
"\n",
"In the second notebook, we write a query to select stars from the region of the sky where we expect GD-1 to be, and save the results in a FITS file.\n",
"\n",
"In the third notebook, we read that data back and identified stars with the proper motion we expect for GD-1."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here are the steps in this notebook:\n",
"\n",
"1. Using data from the previous notebook, we'll identify the values of proper motion for stars likely to be in GD-1.\n",
"\n",
"2. Then we'll compose an ADQL query that selects stars based on proper motion, so we can download only the data we need.\n",
"\n",
"3. We'll also see how to write the results to a CSV file.\n",
"\n",
"That will make it possible to search a bigger region of the sky in a single query.\n",
"\n",
"After completing this lesson, you should be able to\n",
"\n",
"* Convert proper motion between frames.\n",
"\n",
"* Write an ADQL query that selects based on proper motion."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Installing libraries\n",
"\n",
"If you are running this notebook on Colab, you can run the following cell to install Astroquery and a the other libraries we'll use.\n",
"\n",
"If you are running this notebook on your own computer, you might have to install these libraries yourself. \n",
"\n",
"If you are using this notebook as part of a Carpentries workshop, you should have received setup instructions.\n",
"\n",
"TODO: Add a link to the instructions.\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# If we're running on Colab, install libraries\n",
"\n",
"import sys\n",
"IN_COLAB = 'google.colab' in sys.modules\n",
"\n",
"if IN_COLAB:\n",
" !pip install astroquery astro-gala pyia python-wget"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Reload the data\n",
"\n",
"The following cells download the data from the previous notebook, if necessary, and load it into a Pandas `DataFrame`."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"from wget import download\n",
"\n",
"filename = 'gd1_dataframe.hdf5'\n",
"path = 'https://github.com/AllenDowney/AstronomicalData/raw/main/data/'\n",
"\n",
"if not os.path.exists(filename):\n",
" print(download(path+filename))"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"\n",
"df = pd.read_hdf(filename, 'df')\n",
"centerline = pd.read_hdf(filename, 'centerline')\n",
"selected = pd.read_hdf(filename, 'selected')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Transforming the rectangle\n",
"\n",
"At this point we have downloaded data for a relatively large number of stars (more than 100,000) and selected a relatively small number (around 1000).\n",
"\n",
"It would be more efficient to use ADQL to select only the stars we need. That would also make it possible to download data covering a larger region of the sky.\n",
"\n",
"However, the selection we did was based on proper motion in the `GD1Koposov10` frame. In order to do the same selection in ADQL, we have to translate these motions into ICRS.\n",
"\n",
"We'll start by creating a `GD1Koposov10` object that contains the corners of the rectangle we just selected in proper motion."
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {},
"outputs": [],
"source": [
"pm1_min = -8.9\n",
"pm1_max = -6.9\n",
"pm2_min = -2.2\n",
"pm2_max = 1.0"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [],
"source": [
"import astropy.units as u\n",
"\n",
"pm1_rect = [pm1_min, pm1_min, pm1_max, pm1_max, pm1_min] * u.mas/u.yr\n",
"pm2_rect = [pm2_min, pm2_max, pm2_max, pm2_min, pm2_min] * u.mas/u.yr"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pm1 = centerline['pm_phi1']\n",
"pm2 = centerline['pm_phi2']\n",
"plt.plot(pm1, pm2, 'ko', markersize=0.3, alpha=0.3)\n",
"\n",
"pm1 = selected['pm_phi1']\n",
"pm2 = selected['pm_phi2']\n",
"plt.plot(pm1, pm2, 'gx', markersize=0.3, alpha=0.3)\n",
"\n",
"plt.plot(pm1_rect, pm2_rect, '-')\n",
" \n",
"plt.xlabel('Proper motion phi1 (GD1 frame)')\n",
"plt.ylabel('Proper motion phi2 (GD1 frame)')\n",
"\n",
"plt.xlim(-12, 8)\n",
"plt.ylim(-10, 10);"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pm1 = centerline['pmra']\n",
"pm2 = centerline['pmdec']\n",
"plt.plot(pm1, pm2, 'ko', markersize=0.3, alpha=0.3)\n",
"\n",
"pm1 = selected['pmra']\n",
"pm2 = selected['pmdec']\n",
"plt.plot(pm1, pm2, 'gx', alpha=0.3)\n",
" \n",
"plt.xlabel('Proper motion phi1 (ICRS frame)')\n",
"plt.ylabel('Proper motion phi2 (ICRS frame)')\n",
"\n",
"plt.xlim([-10, 5])\n",
"plt.ylim([-20, 5]);"
]
},
{
"cell_type": "code",
"execution_count": 115,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1049, 2)"
]
},
"execution_count": 115,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"\n",
"points = selected[['pmra','pmdec']].to_numpy()\n",
"points.shape"
]
},
{
"cell_type": "code",
"execution_count": 128,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<scipy.spatial.qhull.ConvexHull at 0x7f4582492be0>"
]
},
"execution_count": 128,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from scipy.spatial import ConvexHull\n",
"\n",
"hull = ConvexHull(points)\n",
"hull"
]
},
{
"cell_type": "code",
"execution_count": 130,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 692, 873, 141, 303, 42, 622, 45, 83, 127, 182, 1006,\n",
" 971, 967, 1001, 969, 940], dtype=int32)"
]
},
"execution_count": 130,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hull.vertices"
]
},
{
"cell_type": "code",
"execution_count": 143,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ -4.05037121, -14.75623261],\n",
" [ -3.41981085, -14.72365546],\n",
" [ -3.03521988, -14.44357135],\n",
" [ -2.26847919, -13.7140236 ],\n",
" [ -2.61172203, -13.24797471],\n",
" [ -2.73471401, -13.09054471],\n",
" [ -3.19923146, -12.5942653 ],\n",
" [ -3.34082546, -12.47611926],\n",
" [ -5.67489413, -11.16083338],\n",
" [ -5.95159272, -11.10547884],\n",
" [ -6.42394023, -11.05981295],\n",
" [ -7.09631023, -11.95187806],\n",
" [ -7.30641519, -12.24559977],\n",
" [ -7.04016696, -12.88580702],\n",
" [ -6.00347705, -13.75912098],\n",
" [ -4.42442296, -14.74641176]])"
]
},
"execution_count": 143,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pm_vertices = points[hull.vertices]\n",
"pm_vertices"
]
},
{
"cell_type": "code",
"execution_count": 157,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"['-4.050371212154984',\n",
" '-14.75623260987968',\n",
" '-3.4198108491382455',\n",
" '-14.723655456335619',\n",
" '-3.035219883740934',\n",
" '-14.443571352854612',\n",
" '-2.268479190206636',\n",
" '-13.714023598831554',\n",
" '-2.611722027231764',\n",
" '-13.247974712069263',\n",
" '-2.7347140078529106',\n",
" '-13.090544709622938',\n",
" '-3.199231461993783',\n",
" '-12.594265302440828',\n",
" '-3.34082545787549',\n",
" '-12.476119260818695',\n",
" '-5.674894125178565',\n",
" '-11.160833381392624',\n",
" '-5.95159272432137',\n",
" '-11.105478836426514',\n",
" '-6.423940229776128',\n",
" '-11.05981294804957',\n",
" '-7.096310230579248',\n",
" '-11.951878058650085',\n",
" '-7.306415190921692',\n",
" '-12.245599765990594',\n",
" '-7.040166963232815',\n",
" '-12.885807024935527',\n",
" '-6.0034770546523735',\n",
" '-13.759120984106968',\n",
" '-4.42442296194263',\n",
" '-14.7464117578883']"
]
},
"execution_count": 157,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"t = [str(x) for x in pm_vertices.flatten()]\n",
"t"
]
},
{
"cell_type": "code",
"execution_count": 158,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'-4.050371212154984, -14.75623260987968, -3.4198108491382455, -14.723655456335619, -3.035219883740934, -14.443571352854612, -2.268479190206636, -13.714023598831554, -2.611722027231764, -13.247974712069263, -2.7347140078529106, -13.090544709622938, -3.199231461993783, -12.594265302440828, -3.34082545787549, -12.476119260818695, -5.674894125178565, -11.160833381392624, -5.95159272432137, -11.105478836426514, -6.423940229776128, -11.05981294804957, -7.096310230579248, -11.951878058650085, -7.306415190921692, -12.245599765990594, -7.040166963232815, -12.885807024935527, -6.0034770546523735, -13.759120984106968, -4.42442296194263, -14.7464117578883'"
]
},
"execution_count": 158,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pm_point_list = ', '.join(t)\n",
"pm_point_list"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Selecting the region\n",
"\n",
"Let's review how we got to this point.\n",
"\n",
"1. We made an ADQL query to the Gaia server to get data for stars in the vicinity of GD-1.\n",
"\n",
"2. We transformed to `GD1` coordinates so we could select stars along the centerline of GD-1.\n",
"\n",
"3. We plotted the proper motion of the centerline stars to identify the bounds of the overdense region.\n",
"\n",
"4. We made a mask that selects stars whose proper motion is in the overdense region.\n",
"\n",
"The problem is that we downloaded data for more than 100,000 stars and selected only about 1000 of them.\n",
"\n",
"It will be more efficient if we select on proper motion as part of the query. That will allow us to work with a larger region of the sky in a single query, and download less unneeded data.\n",
"\n",
"This query will select on the following conditions:\n",
"\n",
"* `parallax < 1`\n",
"\n",
"* `bp_rp BETWEEN -0.75 AND 2`\n",
"\n",
"* Coordinates within the transformed polygon\n",
"\n",
"* Proper motion with the rectangle we just defined.\n",
"\n",
"The first three conditions are the same as in `query4`. Only the last one is new.\n",
"\n",
"Now, we have code in the previous notebook than transforms the polygon and constructs an ADQL string. We could copy it from the previous notebook, but when you find yourself using the same code more than once, you might consider putting it in a function.\n",
"\n",
"For example, here's the code from the previous notebook that takes the boundaries of a rectangle in the GD1 frame and returns the coordinates of the corners tranformed to the ICRS frame."
]
},
{
"cell_type": "code",
"execution_count": 159,
"metadata": {},
"outputs": [],
"source": [
"def transform_rectangle(phi1_min, phi1_max, phi2_min, phi2_max):\n",
" \"\"\"Transform a rectange in GD1 to a polygon in ICRS.\n",
" \n",
" phi1_min, phi1_max: lower and upper bound of ra\n",
" phi2_min, phi2_max: lower and upper bound of dec\n",
" \n",
" returns: astropy.coordinates.builtin_frames.icrs.ICRS\n",
" \"\"\"\n",
" phi1_rect = [phi1_min, phi1_min, phi1_max, phi1_max] * u.deg\n",
" phi2_rect = [phi2_min, phi2_max, phi2_max, phi2_min] * u.deg\n",
" corners = gc.GD1Koposov10(phi1=phi1_rect, phi2=phi2_rect)\n",
" corners_icrs = corners.transform_to(coord.ICRS)\n",
" return corners_icrs"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can call it like this:"
]
},
{
"cell_type": "code",
"execution_count": 160,
"metadata": {},
"outputs": [],
"source": [
"corners_icrs = transform_rectangle(-70, -20, -5, 5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Exercise:** Here's the code we used in a previous notebook to take a list of coordinates and write a string that represents a polygon in ADQL."
]
},
{
"cell_type": "code",
"execution_count": 161,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'135.30559858565638, 8.398623940157561, 126.50951508623503, 13.44494195652069, 163.0173655836748, 54.24242734020255, 172.9328536286811, 46.47260492416258'"
]
},
"execution_count": 161,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"point_base = \"{point.ra.value}, {point.dec.value}\"\n",
"\n",
"t = [point_base.format(point=point)\n",
" for point in corners_icrs]\n",
"\n",
"point_list = ', '.join(t)\n",
"point_list"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Wrap this code in a function that takes a list of coordinates, like `corner_icrs`, as a parameter and returns a string like `point_list`."
]
},
{
"cell_type": "code",
"execution_count": 162,
"metadata": {},
"outputs": [],
"source": [
"# Solution\n",
"\n",
"def make_adql_point_list(coords):\n",
" \"\"\"Make an ADQL string of coordinates.\n",
" \n",
" coords: object that behaves like a list of coordinates\n",
" \n",
" returns: string\n",
" \"\"\"\n",
" point_base = \"{point.ra.value}, {point.dec.value}\"\n",
"\n",
" t = [point_base.format(point=point)\n",
" for point in coords]\n",
"\n",
" return ', '.join(t)"
]
},
{
"cell_type": "code",
"execution_count": 163,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'135.30559858565638, 8.398623940157561, 126.50951508623503, 13.44494195652069, 163.0173655836748, 54.24242734020255, 172.9328536286811, 46.47260492416258'"
]
},
"execution_count": 163,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Solution\n",
"\n",
"point_list = make_adql_point_list(corners_icrs)\n",
"point_list"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Add WHERE clause for proper motion\n",
"\n",
"Now let's assemble the query. Here's the base string we used for the query in the previous notebook."
]
},
{
"cell_type": "code",
"execution_count": 164,
"metadata": {},
"outputs": [],
"source": [
"query_base = \"\"\"SELECT \n",
"{columns}\n",
"FROM gaiadr2.gaia_source\n",
"WHERE parallax < 1\n",
" AND bp_rp BETWEEN -0.75 AND 2 \n",
" AND 1 = CONTAINS(POINT(ra, dec), \n",
" POLYGON({point_list}))\n",
"\"\"\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Exercise:** Modify `query_base` by adding new clauses to select `pmra` between `pmra_min` and `pmra_max` and `pmdec` between `pmdec_min` and pmdec_max."
]
},
{
"cell_type": "code",
"execution_count": 165,
"metadata": {},
"outputs": [],
"source": [
"# Solution\n",
"\n",
"query_base = \"\"\"SELECT \n",
"{columns}\n",
"FROM gaiadr2.gaia_source\n",
"WHERE parallax < 1\n",
" AND bp_rp BETWEEN -0.75 AND 2 \n",
" AND 1 = CONTAINS(POINT(ra, dec), \n",
" POLYGON({point_list}))\n",
" AND 1 = CONTAINS(POINT(pmra, pmdec),\n",
" POLYGON({pm_point_list}))\n",
"\"\"\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here again are the variables we want to select."
]
},
{
"cell_type": "code",
"execution_count": 166,
"metadata": {},
"outputs": [],
"source": [
"columns = 'source_id, ra, dec, pmra, pmdec, parallax, parallax_error, radial_velocity'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Exercise:** Use `format` to format `query_base` and define `query`, filling in the values of `columns`, `point_list`, and the boundaries of proper motion."
]
},
{
"cell_type": "code",
"execution_count": 167,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SELECT \n",
"source_id, ra, dec, pmra, pmdec, parallax, parallax_error, radial_velocity\n",
"FROM gaiadr2.gaia_source\n",
"WHERE parallax < 1\n",
" AND bp_rp BETWEEN -0.75 AND 2 \n",
" AND 1 = CONTAINS(POINT(ra, dec), \n",
" POLYGON(135.30559858565638, 8.398623940157561, 126.50951508623503, 13.44494195652069, 163.0173655836748, 54.24242734020255, 172.9328536286811, 46.47260492416258))\n",
" AND 1 = CONTAINS(POINT(pmra, pmdec),\n",
" POLYGON(-4.050371212154984, -14.75623260987968, -3.4198108491382455, -14.723655456335619, -3.035219883740934, -14.443571352854612, -2.268479190206636, -13.714023598831554, -2.611722027231764, -13.247974712069263, -2.7347140078529106, -13.090544709622938, -3.199231461993783, -12.594265302440828, -3.34082545787549, -12.476119260818695, -5.674894125178565, -11.160833381392624, -5.95159272432137, -11.105478836426514, -6.423940229776128, -11.05981294804957, -7.096310230579248, -11.951878058650085, -7.306415190921692, -12.245599765990594, -7.040166963232815, -12.885807024935527, -6.0034770546523735, -13.759120984106968, -4.42442296194263, -14.7464117578883))\n",
"\n"
]
}
],
"source": [
"# Solution\n",
"\n",
"query = query_base.format(columns=columns, \n",
" point_list=point_list,\n",
" pm_point_list=pm_point_list)\n",
"print(query)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's how we run it."
]
},
{
"cell_type": "code",
"execution_count": 168,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Created TAP+ (v1.2.1) - Connection:\n",
"\tHost: gea.esac.esa.int\n",
"\tUse HTTPS: True\n",
"\tPort: 443\n",
"\tSSL Port: 443\n",
"Created TAP+ (v1.2.1) - Connection:\n",
"\tHost: geadata.esac.esa.int\n",
"\tUse HTTPS: True\n",
"\tPort: 443\n",
"\tSSL Port: 443\n",
"INFO: Query finished. [astroquery.utils.tap.core]\n",
"<Table length=7346>\n",
" name dtype unit description n_bad\n",
"--------------- ------- -------- ------------------------------------------------------------------ -----\n",
" source_id int64 Unique source identifier (unique within a particular Data Release) 0\n",
" ra float64 deg Right ascension 0\n",
" dec float64 deg Declination 0\n",
" pmra float64 mas / yr Proper motion in right ascension direction 0\n",
" pmdec float64 mas / yr Proper motion in declination direction 0\n",
" parallax float64 mas Parallax 0\n",
" parallax_error float64 mas Standard error of parallax 0\n",
"radial_velocity float64 km / s Radial velocity 7295\n",
"Jobid: 1602786752402O\n",
"Phase: COMPLETED\n",
"Owner: None\n",
"Output file: async_20201015143232.vot\n",
"Results: None\n"
]
}
],
"source": [
"from astroquery.gaia import Gaia\n",
"\n",
"job = Gaia.launch_job_async(query)\n",
"print(job)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And get the results."
]
},
{
"cell_type": "code",
"execution_count": 169,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"7346"
]
},
"execution_count": 169,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"candidate_table = job.get_results()\n",
"len(candidate_table)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plotting one more time\n",
"\n",
"Let's see what the results look like."
]
},
{
"cell_type": "code",
"execution_count": 170,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = candidate_table['ra']\n",
"y = candidate_table['dec']\n",
"plt.plot(x, y, 'ko', markersize=0.3, alpha=0.3)\n",
"\n",
"plt.xlabel('ra (degree ICRS)')\n",
"plt.ylabel('dec (degree ICRS)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we can see more clearly the effect of transforming the coordinates. In ICRS, it would be more difficulty to identity the stars near the centerline of GD-1.\n",
"\n",
"So, before we move on to the next step, let's collect the code we used to transform the coordinates and make a Pandas `DataFrame`:"
]
},
{
"cell_type": "code",
"execution_count": 171,
"metadata": {},
"outputs": [],
"source": [
"from pyia import GaiaData\n",
"\n",
"def make_dataframe(table):\n",
" \"\"\"Transform coordinates from ICRS to GD-1 frame.\n",
" \n",
" table: Astropy Table\n",
" \n",
" returns: Pandas DataFrame\n",
" \"\"\"\n",
" gaia_data = GaiaData(table)\n",
"\n",
" c_sky = gaia_data.get_skycoord(distance=8*u.kpc, \n",
" radial_velocity=0*u.km/u.s)\n",
" c_gd1 = gc.reflex_correct(\n",
" c_sky.transform_to(gc.GD1Koposov10))\n",
"\n",
" df = table.to_pandas()\n",
" df['phi1'] = c_gd1.phi1\n",
" df['phi2'] = c_gd1.phi2\n",
" df['pm_phi1'] = c_gd1.pm_phi1_cosphi2\n",
" df['pm_phi2'] = c_gd1.pm_phi2\n",
" return df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's how we can use this function:"
]
},
{
"cell_type": "code",
"execution_count": 172,
"metadata": {},
"outputs": [],
"source": [
"candidate_df = make_dataframe(candidate_table)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And let's see the results."
]
},
{
"cell_type": "code",
"execution_count": 174,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = candidate_df['phi1']\n",
"y = candidate_df['phi2']\n",
"\n",
"plt.plot(x, y, 'ko', markersize=0.3, alpha=0.3)\n",
"\n",
"plt.xlabel('ra (degree GD1)')\n",
"plt.ylabel('dec (degree GD1)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We're starting to see GD-1 more clearly.\n",
"\n",
"We can compare this figure with one of these panels in Figure 1 from the original paper:\n",
"\n",
"<img height=\"150\" src=\"https://github.com/datacarpentry/astronomy-python/raw/gh-pages/fig/gd1-2.png\">\n",
"\n",
"<img height=\"150\" src=\"https://github.com/datacarpentry/astronomy-python/raw/gh-pages/fig/gd1-4.png\">\n",
"\n",
"The top panel shows stars selected based on proper motion only, so it is comparable to our figure (although notice that it covers a wider region).\n",
"\n",
"In the next lesson, we will use photometry data from Pan-STARRS to do a second round of filtering, and see if we can replicate the bottom panel.\n",
"\n",
"We'll also learn how to add annotations like the ones in the figure from the paper, and customize the style of the figure to present the results clearly and compellingly."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Saving the DataFrame\n",
"\n",
"Let's save this `DataFrame` so we can pick up where we left off without running this query again."
]
},
{
"cell_type": "code",
"execution_count": 175,
"metadata": {},
"outputs": [],
"source": [
"!rm -f gd1_candidates.hdf5"
]
},
{
"cell_type": "code",
"execution_count": 176,
"metadata": {},
"outputs": [],
"source": [
"filename = 'gd1_candidates.hdf5'\n",
"\n",
"candidate_df.to_hdf(filename, 'candidate_df')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can use `ls` to confirm that the file exists and check the size:"
]
},
{
"cell_type": "code",
"execution_count": 177,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-rw-rw-r-- 1 downey downey 756K Oct 15 14:33 gd1_candidates.hdf5\r\n"
]
}
],
"source": [
"!ls -lh gd1_candidates.hdf5"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If you are using Windows, `ls` might not work; in that case, try:\n",
"\n",
"```\n",
"!dir gd1_candidates.hdf5\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## CSV\n",
"\n",
"Pandas can write a variety of other formats, [which you can read about here](https://pandas.pydata.org/pandas-docs/stable/user_guide/io.html).\n",
"\n",
"We won't cover all of them, but one other important one is [CSV](https://en.wikipedia.org/wiki/Comma-separated_values), which stands for \"comma-separated values\".\n",
"\n",
"CSV is a plain-text format with minimal formatting requirements, so it can be read and written by pretty much any tool that works with data. In that sense, it is the \"least common denominator\" of data formats.\n",
"\n",
"However, it has an important limitation: some information about the data gets lost in translation, notably the data types. If you read a CSV file from someone else, you might need some additional information to make sure you are getting it right.\n",
"\n",
"Also, CSV files tend to be big, and slow to read and write.\n",
"\n",
"With those caveats, here's how to write one:"
]
},
{
"cell_type": "code",
"execution_count": 178,
"metadata": {},
"outputs": [],
"source": [
"candidate_df.to_csv('gd1_candidates.csv')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can check the file size like this:"
]
},
{
"cell_type": "code",
"execution_count": 179,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-rw-rw-r-- 1 downey downey 1.6M Oct 15 14:33 gd1_candidates.csv\r\n"
]
}
],
"source": [
"!ls -lh gd1_candidates.csv"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The CSV file about 2 times bigger than the HDF5 file (so that's not that bad, really).\n",
"\n",
"We can see the first few lines like this:"
]
},
{
"cell_type": "code",
"execution_count": 180,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
",source_id,ra,dec,pmra,pmdec,parallax,parallax_error,radial_velocity,phi1,phi2,pm_phi1,pm_phi2\r\n",
"0,635559124339440000,137.58671691646745,19.1965441084838,-3.770521900009566,-12.490481778113859,0.7913934419894347,0.2717538145759051,,-59.63048941944396,-1.21648525150429,-7.361362712556612,-0.5926328820420083\r\n",
"1,635860218726658176,138.5187065217173,19.09233926905897,-5.941679495793577,-11.346409129876392,0.30745551377348623,0.19946557779138105,,-59.247329893833296,-2.0160784008206476,-7.527126084599517,1.7487794924398758\r\n"
]
}
],
"source": [
"!head -3 gd1_candidates.csv"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The CSV file contains the names of the columns, but not the data types.\n",
"\n",
"We can read the CSV file back like this:"
]
},
{
"cell_type": "code",
"execution_count": 181,
"metadata": {},
"outputs": [],
"source": [
"read_back_csv = pd.read_csv('gd1_candidates.csv')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's compare the first few rows of `candidate_df` and `read_back_csv`"
]
},
{
"cell_type": "code",
"execution_count": 182,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>source_id</th>\n",
" <th>ra</th>\n",
" <th>dec</th>\n",
" <th>pmra</th>\n",
" <th>pmdec</th>\n",
" <th>parallax</th>\n",
" <th>parallax_error</th>\n",
" <th>radial_velocity</th>\n",
" <th>phi1</th>\n",
" <th>phi2</th>\n",
" <th>pm_phi1</th>\n",
" <th>pm_phi2</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>635559124339440000</td>\n",
" <td>137.586717</td>\n",
" <td>19.196544</td>\n",
" <td>-3.770522</td>\n",
" <td>-12.490482</td>\n",
" <td>0.791393</td>\n",
" <td>0.271754</td>\n",
" <td>NaN</td>\n",
" <td>-59.630489</td>\n",
" <td>-1.216485</td>\n",
" <td>-7.361363</td>\n",
" <td>-0.592633</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>635860218726658176</td>\n",
" <td>138.518707</td>\n",
" <td>19.092339</td>\n",
" <td>-5.941679</td>\n",
" <td>-11.346409</td>\n",
" <td>0.307456</td>\n",
" <td>0.199466</td>\n",
" <td>NaN</td>\n",
" <td>-59.247330</td>\n",
" <td>-2.016078</td>\n",
" <td>-7.527126</td>\n",
" <td>1.748779</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>635674126383965568</td>\n",
" <td>138.842874</td>\n",
" <td>19.031798</td>\n",
" <td>-3.897001</td>\n",
" <td>-12.702780</td>\n",
" <td>0.779463</td>\n",
" <td>0.223692</td>\n",
" <td>NaN</td>\n",
" <td>-59.133391</td>\n",
" <td>-2.306901</td>\n",
" <td>-7.560608</td>\n",
" <td>-0.741800</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" source_id ra dec pmra pmdec parallax \\\n",
"0 635559124339440000 137.586717 19.196544 -3.770522 -12.490482 0.791393 \n",
"1 635860218726658176 138.518707 19.092339 -5.941679 -11.346409 0.307456 \n",
"2 635674126383965568 138.842874 19.031798 -3.897001 -12.702780 0.779463 \n",
"\n",
" parallax_error radial_velocity phi1 phi2 pm_phi1 pm_phi2 \n",
"0 0.271754 NaN -59.630489 -1.216485 -7.361363 -0.592633 \n",
"1 0.199466 NaN -59.247330 -2.016078 -7.527126 1.748779 \n",
"2 0.223692 NaN -59.133391 -2.306901 -7.560608 -0.741800 "
]
},
"execution_count": 182,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"candidate_df.head(3)"
]
},
{
"cell_type": "code",
"execution_count": 183,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Unnamed: 0</th>\n",
" <th>source_id</th>\n",
" <th>ra</th>\n",
" <th>dec</th>\n",
" <th>pmra</th>\n",
" <th>pmdec</th>\n",
" <th>parallax</th>\n",
" <th>parallax_error</th>\n",
" <th>radial_velocity</th>\n",
" <th>phi1</th>\n",
" <th>phi2</th>\n",
" <th>pm_phi1</th>\n",
" <th>pm_phi2</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0</td>\n",
" <td>635559124339440000</td>\n",
" <td>137.586717</td>\n",
" <td>19.196544</td>\n",
" <td>-3.770522</td>\n",
" <td>-12.490482</td>\n",
" <td>0.791393</td>\n",
" <td>0.271754</td>\n",
" <td>NaN</td>\n",
" <td>-59.630489</td>\n",
" <td>-1.216485</td>\n",
" <td>-7.361363</td>\n",
" <td>-0.592633</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1</td>\n",
" <td>635860218726658176</td>\n",
" <td>138.518707</td>\n",
" <td>19.092339</td>\n",
" <td>-5.941679</td>\n",
" <td>-11.346409</td>\n",
" <td>0.307456</td>\n",
" <td>0.199466</td>\n",
" <td>NaN</td>\n",
" <td>-59.247330</td>\n",
" <td>-2.016078</td>\n",
" <td>-7.527126</td>\n",
" <td>1.748779</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>2</td>\n",
" <td>635674126383965568</td>\n",
" <td>138.842874</td>\n",
" <td>19.031798</td>\n",
" <td>-3.897001</td>\n",
" <td>-12.702780</td>\n",
" <td>0.779463</td>\n",
" <td>0.223692</td>\n",
" <td>NaN</td>\n",
" <td>-59.133391</td>\n",
" <td>-2.306901</td>\n",
" <td>-7.560608</td>\n",
" <td>-0.741800</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Unnamed: 0 source_id ra dec pmra pmdec \\\n",
"0 0 635559124339440000 137.586717 19.196544 -3.770522 -12.490482 \n",
"1 1 635860218726658176 138.518707 19.092339 -5.941679 -11.346409 \n",
"2 2 635674126383965568 138.842874 19.031798 -3.897001 -12.702780 \n",
"\n",
" parallax parallax_error radial_velocity phi1 phi2 pm_phi1 \\\n",
"0 0.791393 0.271754 NaN -59.630489 -1.216485 -7.361363 \n",
"1 0.307456 0.199466 NaN -59.247330 -2.016078 -7.527126 \n",
"2 0.779463 0.223692 NaN -59.133391 -2.306901 -7.560608 \n",
"\n",
" pm_phi2 \n",
"0 -0.592633 \n",
"1 1.748779 \n",
"2 -0.741800 "
]
},
"execution_count": 183,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"read_back_csv.head(3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Notice that the index in `candidate_df` has become an unnamed column in `read_back_csv`. The Pandas functions for writing and reading CSV files provide options to avoid that problem, but this is an example of the kind of thing that can go wrong with CSV files."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Summary\n",
"\n",
"In the previous notebook we downloaded a large dataset and then selected a small fraction of them based on proper motion.\n",
"\n",
"In this notebook, we improved this process by writing a more complex query that uses the database to select stars based on proper motion. This process requires more computation on the Gaia server, but then we're able to either:\n",
"\n",
"1. Search the same region and download less data, or\n",
"\n",
"2. Search a larger region while still downloading a manageable amount of data.\n",
"\n",
"In the next lesson, we'll learn about the databased `JOIN` operation and use it to download photometry data from Pan-STARRS."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Best practices\n",
"\n",
"* When possible, \"move the computation to the data\"; that is, do as much of the work as possible on the database server before downloading the data.\n",
"\n",
"* For most applications, saving data in FITS or HDF5 is better than CSV. FITS and HDF5 are binary formats, so the files are usually smaller, and they store metadata, so you don't lose anything when you read the file back.\n",
"\n",
"* On the other hand, CSV is a \"least common denominator\" format; that is, it can be read by practically any application that works with data."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
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"language_info": {
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"file_extension": ".py",
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