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@balbinot
Created July 28, 2020 14:04
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Random sky for pal5
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{
"cells": [
{
"metadata": {
"ExecuteTime": {
"start_time": "2020-07-28T14:02:31.203440Z",
"end_time": "2020-07-28T14:02:31.217131Z"
},
"trusted": true
},
"cell_type": "code",
"source": "%pylab inline\nfrom scipy.ndimage import gaussian_filter as gf",
"execution_count": 28,
"outputs": [
{
"output_type": "stream",
"text": "Populating the interactive namespace from numpy and matplotlib\n",
"name": "stdout"
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2020-07-28T13:41:53.132729Z",
"end_time": "2020-07-28T13:41:53.142991Z"
},
"trusted": true
},
"cell_type": "code",
"source": "def rsky(n, ramin=0.0, ramax=360.0, decmin=-90, decmax=90.0):\n \"\"\"\n Generate n random positions in the sky.-\n Limiting RA and Dec may be given.-\n\n Inputs:\n - ramin: int, float\n right ascension lower limit (deg)\n - ramax: int, float\n right ascension upper limit (deg)\n - decmin: int, float\n declination lower limit (deg)----\n - decmax: int, float\n declinations upper limit (deg)\n - n: int\n number of positions to be generated\n\n Output:\n - array_like, array_like\n\n Notes:\n No check for sanity of input. Be careful-----\n \"\"\"\n\n n = int(n)\n decmin = decmin + 90.0\n decmax = decmax + 90.0\n ra = ramin + (ramax - ramin)*rand(n)\n vmin = (np.cos(np.deg2rad(decmax)) + 1)/2.\n vmax = (np.cos(np.deg2rad(decmin)) + 1)/2.\n v = vmin + (vmax - vmin)*rand(n)\n dec = np.rad2deg(np.arccos(2*v - 1))\n return ra, dec-90.\n\ndef skygrid(xmin, xmax, ymin, ymax, H):\n\n \"\"\"Computes the area of each pixel correcting (1st order) to\n spherical projection \"\"\"\n dx = (xmax - xmin)/H.shape[0]\n dy = (ymax - ymin)/H.shape[1]\n ra = np.linspace(xmin, xmax, H.shape[0])\n dec = np.linspace(ymin, ymax, H.shape[1])\n RA, DEC = np.meshgrid(ra,dec)\n AREA = np.abs(dx*dy*np.cos(np.deg2rad(DEC)))*60.*60.\n return AREA",
"execution_count": 2,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2020-07-28T14:03:39.208925Z",
"end_time": "2020-07-28T14:03:39.943978Z"
},
"trusted": true
},
"cell_type": "code",
"source": "N = 43000 ## Guess of the number of MW field stars in the region of interest\n\n## Define limits on-sky\nlmin, lmax = -15, 15\nbmin, bmax = 39.5, 49.0\nRANGE = [[lmin, lmax], [bmin, bmax]]\next = [lmin, lmax, bmin, bmax]\nbins = (300, 100)\n\nl, b = rsky(N, lmin, lmax, bmin, bmax)\n\n#l = np.r_[l, np.zeros(1000) -5]\n#b = np.r_[b, np.zeros(1000)+ 42]\n\n\nbg, xl, yl = np.histogram2d(l, b, range=RANGE, bins=bins)\nAREA = skygrid(lmin, lmax, bmin, bmax, bg)\n\nfigure()\nimshow(bg.T, extent=ext, origin='lower')\ncb = colorbar(fraction=0.046, pad=0.04)\ncb.set_label('Number per pixel')\n\nfigure()\nimshow(AREA, extent=ext, origin='lower')\ncb = colorbar(fraction=0.046, pad=0.04)\ncb.set_label('Area [arcmin2]')\n\nfigure()\nimshow(bg.T/AREA, extent=ext, origin='lower')\ncb = colorbar(fraction=0.046, pad=0.04)\ncb.set_label('Density [/arcmin2]')\n\nprint('Mean BG density = {:.4f}'.format(np.mean(bg.T/AREA)))\n",
"execution_count": 32,
"outputs": [
{
"output_type": "stream",
"text": "Mean BG density = 0.0586\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 2 Axes>",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 2 Axes>",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 2 Axes>",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2020-07-28T14:03:39.945596Z",
"end_time": "2020-07-28T14:03:40.394877Z"
},
"trusted": true
},
"cell_type": "code",
"source": "## To show something more like the paper convolve with a gaussian of chosen time (here = 3 px)\n\nimshow(gf(bg.T/AREA, 3), extent=ext, origin='lower')\ncb = colorbar(fraction=0.046, pad=0.04)\ncb.set_label('Density [/arcmin2]')",
"execution_count": 33,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 2 Axes>",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "## Now you would read the nbody\n# l, b, gmag = np.loadtxt(...)\n# pal5map = np.histogram2d(l, b, range=RANGE, bins=bins)\n# pal5wBGmap = (bg.T + pal5map.T)/AREA\n# imshow(pal5wBGmap, extent=ext, origin='lower')",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.7.4",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"gist": {
"id": "",
"data": {
"description": "Random sky for pal5",
"public": true
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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