Files
AstronomicalData/04_select.ipynb
2020-10-12 14:39:09 -04:00

1344 lines
375 KiB
Plaintext

{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Introduction\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.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Lesson 4\n",
"\n",
"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"
]
},
{
"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",
"\n",
"filename = 'gd1_dataframe.hdf5'\n",
"\n",
"if not os.path.exists(filename):\n",
" !wget https://github.com/AllenDowney/AstronomicalData/raw/main/data/gd1_dataframe.hdf5"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"\n",
"df = pd.read_hdf(filename, 'df')\n",
"centerline = pd.read_hdf(filename, 'centerline')"
]
},
{
"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": 4,
"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": 5,
"metadata": {},
"outputs": [],
"source": [
"import astropy.units as u\n",
"\n",
"pm1_rect = [pm1_min, pm1_min, pm1_max, pm1_max] * u.mas/u.yr\n",
"pm2_rect = [pm2_min, pm2_max, pm2_max, pm2_min] * u.mas/u.yr"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But we also need to specify right ascension and declination. For those, we'll use a point in the center of the selected region."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"phi1 = [-50, -50, -50, -50] * u.deg\n",
"phi2 = [2, 2, 2, 2] * u.deg"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we can put the coordinates and proper motion into the `GD1Koposov10` object."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<GD1Koposov10 Coordinate: (phi1, phi2) in deg\n",
" [(-50., 2.), (-50., 2.), (-50., 2.), (-50., 2.)]\n",
" (pm_phi1_cosphi2, pm_phi2) in mas / yr\n",
" [(-8.9, -2.2), (-8.9, 1. ), (-6.9, 1. ), (-6.9, -2.2)]>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import gala.coordinates as gc\n",
"\n",
"corners = gc.GD1Koposov10(phi1=phi1, phi2=phi2,\n",
" pm_phi1_cosphi2=pm1_rect, \n",
" pm_phi2=pm2_rect)\n",
"corners"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And translate the the ICRS frame."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$[-3.0392085,~-5.7154808,~-4.6190435,~-1.9427713] \\; \\mathrm{\\frac{mas}{yr}}$"
],
"text/plain": [
"<Quantity [-3.03920854, -5.71548076, -4.61904353, -1.9427713 ] mas / yr>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import astropy.coordinates as coord\n",
"\n",
"corners_icrs = corners.transform_to(coord.ICRS)\n",
"corners_icrs.pm_ra_cosdec"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$[-8.6494631,~-6.8951635,~-5.2224934,~-6.9767929] \\; \\mathrm{\\frac{mas}{yr}}$"
],
"text/plain": [
"<Quantity [-8.64946307, -6.8951635 , -5.22249336, -6.97679293] mas / yr>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"corners_icrs.pm_dec"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To see whether the transform worked as expected, we'll plot the polygon over the proper motions in ICRS, which we can select from `centerline`:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"pmra = centerline['pmra']\n",
"pmdec = centerline['pmdec']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's the transformed polygon superimposed on a scatter plot of proper motion in the ICRS frame."
]
},
{
"cell_type": "code",
"execution_count": 11,
"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": [
"import matplotlib.pyplot as plt\n",
"\n",
"plt.plot(pmra, pmdec, 'ko', markersize=0.3, alpha=0.3)\n",
"plt.plot(corners_icrs.pm_ra_cosdec,\n",
" corners_icrs.pm_dec, '-')\n",
"\n",
"plt.xlabel('Proper motion ra (ICRS)')\n",
"plt.ylabel('Proper motion dec (ICRS)')\n",
"\n",
"plt.xlim([-10, 5])\n",
"plt.ylim([-20, 5]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The transformed polygon does not contain the region of high density, so it looks like the transformation did not work as expected.\n",
"\n",
"An alternative is to choose a bounding box that is as big as needed to cover the region of high density. Here are the bounds we chose."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"pmra_min = -7 \n",
"pmra_max = -2\n",
"pmdec_min = -15\n",
"pmdec_max = -11"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To see what they look like on the plot, we'll make a list of coordinates for the four corners."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"pmra_rect = [pmra_min, pmra_min, pmra_max, pmra_max] * u.mas/u.yr\n",
"pmdec_rect = [pmdec_min, pmdec_max, pmdec_max, pmdec_min] * u.mas/u.yr"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's what the rectangle we chose looks like."
]
},
{
"cell_type": "code",
"execution_count": 14,
"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": [
"plt.plot(pmra, pmdec, 'ko', markersize=0.3, alpha=0.3)\n",
"plt.plot(pmra_rect, pmdec_rect, '-')\n",
"\n",
"plt.xlabel('Proper motion ra (ICRS)')\n",
"plt.ylabel('Proper motion dec (ICRS)')\n",
"\n",
"plt.xlim([-10, 5])\n",
"plt.ylim([-20, 5]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The advantage of the ICRS frame is that we can use ADQL to do this selection on the Gaia server, rather than downloading a lot of data we don't need."
]
},
{
"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": 15,
"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": 16,
"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": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'135.30559858565638, 8.398623940157561, 126.50951508623503, 13.44494195652069, 163.0173655836748, 54.24242734020255, 172.9328536286811, 46.47260492416258'"
]
},
"execution_count": 17,
"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": 18,
"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": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'135.30559858565638, 8.398623940157561, 126.50951508623503, 13.44494195652069, 163.0173655836748, 54.24242734020255, 172.9328536286811, 46.47260492416258'"
]
},
"execution_count": 19,
"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": 20,
"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": 21,
"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 pmra BETWEEN {pmra_min} AND {pmra_max} \n",
" AND pmdec BETWEEN {pmdec_min} AND {pmdec_max}\n",
"\"\"\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here again are the variables we want to select."
]
},
{
"cell_type": "code",
"execution_count": 22,
"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": 23,
"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 pmra BETWEEN -7 AND -2 \n",
" AND pmdec BETWEEN -15 AND -11\n",
"\n"
]
}
],
"source": [
"# Solution\n",
"\n",
"query = query_base.format(columns=columns, \n",
" point_list=point_list,\n",
" pmra_min=pmra_min,\n",
" pmra_max=pmra_max,\n",
" pmdec_min=pmdec_min,\n",
" pmdec_max=pmdec_max)\n",
"print(query)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's how we run it."
]
},
{
"cell_type": "code",
"execution_count": 24,
"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=13976>\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 13885\n",
"Jobid: 1602527538799O\n",
"Phase: COMPLETED\n",
"Owner: None\n",
"Output file: async_20201012143219.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": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"13976"
]
},
"execution_count": 25,
"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": 26,
"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": 27,
"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": 28,
"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": 29,
"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": 30,
"metadata": {},
"outputs": [],
"source": [
"!rm -f gd1_candidates.hdf5"
]
},
{
"cell_type": "code",
"execution_count": 31,
"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": 32,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-rw-rw-r-- 1 downey downey 1.4M Oct 12 14:32 gd1_candidates.hdf5\r\n"
]
}
],
"source": [
"!ls -lh gd1_candidates.hdf5"
]
},
{
"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": 33,
"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": 34,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-rw-rw-r-- 1 downey downey 2.9M Oct 12 14:32 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": 35,
"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": 36,
"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": 37,
"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": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"candidate_df.head(3)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"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": 38,
"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 practice\n",
"\n",
"* When possible, it is often good practice to \"move the computation to the data\"; that is, to 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 file are usually smaller, and they store metadata, so you don't lose anything when you read the file back. The only advantage of CSV is that it 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"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}