{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "nbsphinx": "hidden" }, "outputs": [], "source": [ "%matplotlib inline\n", "%config InlineBackend.figure_format = \"png2x\"\n", "\n", "from __future__ import print_function\n", " \n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib import rcParams" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "nbsphinx": "hidden" }, "outputs": [], "source": [ "rcParams[\"savefig.dpi\"] = 200\n", "rcParams[\"figure.dpi\"] = 200\n", "rcParams[\"font.size\"] = 20\n", "rcParams[\"figure.figsize\"] = [8, 5]\n", "rcParams[\"font.family\"] = \"sans-serif\"\n", "rcParams[\"font.sans-serif\"] = [\"Computer Modern Sans Serif\"]\n", "rcParams[\"text.usetex\"] = True" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Secondary Eclipse Spectroscopy \n", "\n", "The `coronagraph` model can be used to model exoplanet observations using telescopes that don't even have a coronagraph. Here we will walk through a few examples of how to simulate secondary eclipse spectroscopy using the generic telescope noise modeling tools available with the `coronagraph` package. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.0\n" ] } ], "source": [ "import coronagraph as cg\n", "print(cg.__version__)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Earth in Emission" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start out by loading a model spectrum of the Earth:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "lam, tdepth, fplan, fstar = cg.get_earth_trans_spectrum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we'll define the telescope/instrument parameters for our simulation. Let's go big for this demo and use a 15 meter space telescope, with 50% throughput, and a mirror temperature at absolute zero so there is no thermal noise." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "telescope = cg.Telescope(Tput = 0.5, # Throughput\n", " D = 15., # Diameter [m]\n", " R = 70, # Resolving power (lam / dlam)\n", " lammin = 5.0, # Minimum Wavelength [um]\n", " lammax = 20.0, # Maximum Wavelength [um]\n", " Tsys = 0.0, # Telescope mirror temperature [K]\n", " ) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll define the observed system as an Earth-Sun analog at 10 pc. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "planet = cg.Planet(a = 1.0, # Semi-major axis [AU]\n", " d = 10.0, # Distance [pc]\n", " Rp = 1.0 # Planet Radius [Earth Radii]\n", " )\n", "\n", "star = cg.Star(Rs = 1.0, # Stellar Radius [Solar Radii]\n", " Teff = 5700. # Stellar Effective Temperature [K]\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's specify the transit/eclipse duration `tdur` for the planet (Earth is this case), the number of eclipses to observe `ntran`, and the amount of observing out-of-eclipse (in units of eclipse durations) for each secondary eclipse observation `nout`. We're going to simulate the spectrum we would get after observing 1000 secondary eclipses of the Earth passing behind the Sun. Obviously this is ridiculous. One thousand secondary eclipses is not only a minimum of 8000 hours of observational time, but it would take 1000 years to aquire such a dataset! I promise that there is a lesson to be leared here, so let's push forward into infeasibility." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "tdur = 8.0 * 60 * 60 # Transit/Eclipse duration [seconds]\n", "ntran = 1e3 # Number of eclipses\n", "nout = 2.0 # Number of out-of-eclipse durations [transit durations]\n", "wantsnr = 10.0 # Desired S/N per resolution element (when applicable)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we're ready to instantiate an `EclipseNoise` object for our simulation, which contains all of the information needed to perform the noise calculation." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "en = cg.EclipseNoise(tdur = tdur, # Transit Duration\n", " telescope = telescope, # Telescope object\n", " planet = planet, # Planet object\n", " star = star, # Star object\n", " ntran = ntran, # Number of eclipses to observe\n", " nout = nout, # Number of out-of-eclipse observing\n", " wantsnr = wantsnr) # Desired S/N per resolution element (when applicable)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this point we are ready to run the simulation, so we simply call the `run_count_rates` method:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "en.run_count_rates(lam, fplan, fstar)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now plot our fiducial secondary eclipse spectrum." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 1389, "width": 1745 } }, "output_type": "display_data" } ], "source": [ "fig, ax = en.plot_spectrum(SNR_threshold=0.0, Nsig=None)\n", "ax.text(15.0, 0.6, r\"CO$_2$\", va = \"center\", ha = \"center\");\n", "ax.text(9.6, 0.25, r\"O$_3$\", va = \"center\", ha = \"center\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can three key features. First, we note the general rising trend in the planet-to-star flux contrast with increasing wavelength. This occurs because, even though the Earth is much *much* more faint than the Sun at visible wavelengths, the blackbody intensity is weakly dependent on temperature in the Rayleigh-Jeans limit, so at these longer wavelengths the 288 K Earth and 5700 K Sun have more similar intensities. Second, we see absorption due to CO$_2$ at 15 µm. Finally, we see absorption due to O$_3$ at 9.6 µm. The rise in planet-to-star flux contrast with wavelength increases the relative size of absorption features in the emission spectrum. At first blush this would appear to make detecting molecules easier at longer wavelengths, however, photons are few and far between at these wavelengths and thermal noise tends to increase with wavelength, making the optimal wavelengths for molecular detection more complicated and telescope-dependent. \n", "\n", "Let's take a look that the signal-to-noise as a function of wavelength. " ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 1389, "width": 1728 } }, "output_type": "display_data" } ], "source": [ "fig, ax = en.plot_SNRn()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sometimes it's nice to see the number of eclipses that must be observed to get a given S/N in each spectral element. Let's take a look at these devastating numbers for the Earth around the Sun. " ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 1389, "width": 1747 } }, "output_type": "display_data" } ], "source": [ "fig, ax = en.plot_ntran_to_wantsnr()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So this is really just too ridiculous. The ultimate reason for that can be gleaned from the last plot in this series, where we take a look at the photon count rates incident upon the detector from various noise sources compared to our signal. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 1389, "width": 1747 } }, "output_type": "display_data" } ], "source": [ "fig, ax = en.plot_count_rates()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that it's all about the star. The themral emission from the Sun outshines the thermal emission from the Earth by ~6 orders of magnitude at 20 µm, and there aren't enough photons to overcome this contrast in any reasonable amount of time. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulating a *featureless* spectrum \n", "\n", "We've heard a lot about featureless *transmission* spectra. This can occur due to high altitude aerosols or heavy and/or cool atmospheres. But what does a featureless emission spectrum look like? \n", "\n", "In short, it looks like a ratio of blackbody fluxes: \n", "\n", "$$ \\frac{F_p}{F_{\\star}} \\approx \\frac{B_p}{B_{\\star}} \\left ( \\frac{R_p}{R_{\\star}} \\right )^2 $$ \n", "\n", "But let's see how we can investigate this with the `coronagraph` model. \n", "\n", "We're going to use the same planet and star as above, but now let's set a temperature for the planet:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "planet.Tplan = 288" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can create a new `EclipseNoise` object for our featureless spectrum and calculate the photon count rates. " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "enf = cg.EclipseNoise(tdur = tdur,\n", " telescope = telescope,\n", " planet = planet,\n", " star = star,\n", " ntran = ntran,\n", " nout = nout, \n", " wantsnr = wantsnr)\n", "\n", "enf.run_count_rates(lam)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot our new featureless spectrum and compare it with Earth's emission spectrum." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 1389, "width": 1745 } }, "output_type": "display_data" } ], "source": [ "# Plot Spectrum\n", "fig, ax = enf.plot_spectrum(SNR_threshold=0.0, Nsig=None, \n", " err_kws={'fmt': '.', 'c': 'C1', 'alpha': 1}, \n", " plot_kws={'lw': 1.0, 'c': 'C1', 'alpha': 0.5, 'label' : 'Featureless'})\n", "\n", "# Add Earth's emission spectrum to the axis\n", "en.plot_spectrum(SNR_threshold=0.0, Nsig=None, ax0=ax, \n", " err_kws={'fmt': '.', 'c': 'C0', 'alpha': 1}, \n", " plot_kws={'lw': 1.0, 'c': 'C0', 'alpha': 0.5, 'label' : 'Earth'})\n", "\n", "# Add legend\n", "leg = ax.legend(loc = 4)\n", "leg.get_frame().set_alpha(0.0)\n", "\n", "# Annotate molecules\n", "ax.text(15.0, 0.8, r\"CO$_2$\", va = \"center\", ha = \"center\");\n", "ax.text(9.6, 0.3, r\"O$_3$\", va = \"center\", ha = \"center\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What about M-dwarfs? \n", "\n", "So far we have looked at the extremely unrealistic scenario of observing Earth in secondary eclipse around the Sun. Now let's shift our focus to the late M-dwarf TRAPPIST-1 to see what the Earth would look like in secondary eclipse around this small, cool, dim star. \n", "\n", "We'll start by modifying the effective temperature `Teff` and the radius `Rs` of the `star`:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "star.Teff = 2510\n", "star.Rs = 0.117" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's instantiate an `EclipseNoise` object but now we'll use the transit duration of TRAPPIST-1e and only observe 25 secondary eclipses. " ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "enm = cg.EclipseNoise(tdur = 3432.0,\n", " telescope = telescope,\n", " planet = planet,\n", " star = star,\n", " ntran = 25.0,\n", " nout = nout, \n", " wantsnr = wantsnr)\n", "\n", "enm.run_count_rates(lam, fplan)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's the emission spectrum:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 1389, "width": 1755 } }, "output_type": "display_data" } ], "source": [ "fig, ax = enm.plot_spectrum(SNR_threshold=0.0, Nsig=None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we're in business!" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 1389, "width": 1747 } }, "output_type": "display_data" } ], "source": [ "enm.recalc_wantsnr(wantsnr = 5.0)\n", "en.recalc_wantsnr(wantsnr = 5.0)\n", "fig, ax = enm.plot_ntran_to_wantsnr(plot_kws={'ls': 'steps-mid', 'alpha': 1.0, 'label' : \"TRAPPIST-1\", 'c' : 'C3'})\n", "en.plot_ntran_to_wantsnr(ax0 = ax, plot_kws={'ls': 'steps-mid', 'alpha': 1.0, 'label' : \"Sun\", 'c' : 'C1'})\n", "ax.legend(framealpha = 0.0);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compared to the Sun, studying Earth temperature planets in secondary eclipse around TRAPPIST-1 would require better than $10\\times$ fewer transits to reach the same S/N on the spectrum. \n", "\n", "Note that a S/N of 5 on each spectral element says nothing of the ability to detect molecules. The 15 µm CO$_2$ band as seen in the spectrum above is detected at greater than S/N=5 even though the S/N<5 *in each element* within the absorption band. \n", "\n", "Finally, let's look at the photon count rates." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZcdzsaXYH+v2Jy7EnqC9ETUDSRuR9QtUXZGNCCqQAZNejd6UNO47Thjbu6dIzQ8pDsa6MiauUdFZQzGbMl0vmNzfEWcqbfgGsJEmSJEmSJD0li3iSHts/8voi3hc8zSrd6+7NOI4u4kmSJEmSJEmSJEkfoLqrWW/u2a5XHDZb6u2ebtcwHHuC48CkCYhPE7JTQnXOqIaCKXAD3BABy2d+Bx+XJjxxjFrapKNLBi4ZUEyYlslDsa4qqRZzZssl88WSaRo/d2RJkiRJkiRJ+lEs4kl6bL8Ffv2a6//5sW8cBMGb1vAs4UmSJEmSJEmSJEnvieEysD6s2Kzu2K03HDc7TruG8+HEeDwT1iNxOyE7RRR9xuxcMGHCDJgRwPUjvRtN2HKMWpqko08vD8W6fMqkjEmqjGxeUs7nLG5umC2WTGJ/9ESSJEmSJEnSp8H/DZX0qMZx/DIIgi+Bb5fifv4Et3/TPf7hCe4tSZIkSZIkSZIkfZLGcaTualbrl2zXK/brLe32SL//erXuwrQNSNqIokuo+oJsTEiBFID8evQu1GHLMW5p454+HbhkAUExuRbr8m+KdfPlkvnihjCePHdkSZIkSZIkSXovWcST9BT+ge+u4i2CIFiM47h5xPv+1WuubcZx/O0j3lOSJEmSJEmSJEn66PRDz+awZn1/x3694bjd0X2zWjcwqUeidkJ+iin7jGooCAlZAAumwPx69FM1YcvhtcW6hGSWkc8qysVDsW62WBJGFuskSZIkSZIk6V2wiCfpKfyG7xbxAP7m+txjed0i3mPeT5IkSZIkSZIkSfpgHE/H76zWdbuGy7EnqC9EzderdSnVuSAd41e26orr0U/VhieOUUsTd/TpwJAFUEyYljFxlZHPS4rFnMXyxsU6SZIkSZIkSXpGFvEkPbpxHDdBEPw98MtvPfV3PFIxLgiCL4DFa576b49xP0mSJEmSJEmSJOm5XcbLw2rd6o7das1xu+e0O9LvT4zHM2E9ErcTslNE2edU54KJq3XvXBf0HKKGJu7o0jNDBhQTJmVMXKZk85JqsWC2XDJf3jBNoueOLEmSJEmSJEn6ASziSXoq/43vFvG+CILg83Ecv3yE+/3X11z7+3EcN49wL0mSJEmSJEmSJOlRnM4nVts7Nqt79ustzXZPt2s4HzqC48CkCUjaKXmXUPU5xSUjAT4DPiMF0md+Bx++MwOHqKZOTpySgSEbIQ8Jr4t12aygWMyYLZcslrdEaUwQBM8dW5IkSZIkSZL0jlnEkz5er1uDA7h50hRXb1nF+xUPy3jvTBAEC+AX37q8wTU8SZIkSZIkSZIkvQeOpyOr+5ds1vccNlua7YF+33I59ITHkWkbkrUReZ8yPxdEY0QFVHD9s3rW/B+6CxeO04Y6OtEmPeds5JIHTMqIaZmSzgqKRcVssWR5+4KkyCzWSZIkSZIkSZIs4kkfsTcV7t5U0Ht04zj+KgiCXwCfv3L5b4Mg+NU7Xqp73Rref3ENT5IkSZIkSZIkSY9hHEe29YbV6o7takW93dFuj/T7E+PhTFiPxO2E7BRR9jnVuWBCyBJYEgHL534LH7wmbDnELW3c0WcXhgyCYsq0TEhmOfm8YrZcsLx5QV5VhNPwuSNLkiRJkiRJkj4wFvGkj9ebCnf/4UlTfNdfAf/yrWv/Hfjrd/HiQRB8wXdX9347juNv38XrS5IkSZIkSZIk6dMwXAbWhxXr+zt2qzX1ds9pV3PenxiPZyY1xO2EvEuo+pxqKIiBzwBIr0c/1jk4s582NMmJUzIw5CMUEyZFRDzLyWYl1WLOfHnD/GbJJI6eO7IkSZIkSZIk6SNnEU/6CAVB8Ou3PP03QRD8ehzHL58s0CvGcfwyCIK/A/7hlcu/CILgF++oLPdP3/r7l+M4vpOSnyRJkiRJkiRJkj5s/dCz3t2zXt2zf6VcN+w7OA5M6oD0NCU/JVTngvySkgEZAPn16Mc6TBqOccsp6enTC2MeEJQRUZWQzgqKxYzZYsny9gVJkREEwXNHliRJkiRJkiTpGxbxpI9EEASfA18Afwf8/C3/dAH8ryAIfgP84ziOv3+KfK8ax/E3QRAsgFcLg/8UBMFf/pQ8QRD8E/D5K5e+BP7yx76eJEmSJEmSJEmS3n/d0D2U6+7v2a/X1Js9p23NcOgJjgPTJiBppxRdyqwvSceYAigAKK9HP0YfnNlHNU18oksHhgwoJkyrhLjKyOcl5WLB4vaW2XxBGE2eO7IkSZIkSZIkST+aRTzpA/Cagtni+njzysd/jgXwS+CXr/wWyc31cfXKx1/71TiOv/sR93mjcRz//nrvV8t4/+vHlvGuX6NfvHLpS+Avx3H89nuRJEmSJEmSJEnSe647d9xvX7JZ3bNfbai3e7pdw7DvCOoL0zogbaOHct25IBnjVyp11fXoxzhMGuq4pUk6ztnIJQ+YlBHTKiWblRSLGfPlksXNLXGeulonSZIkSZIkSfpkWMSTPgxf8KdFvMew+Nbjqx7l3tcy3pfAf3/lvv8rCIK/H8fxVz/kNYIg+AL4dlHxt8B/sYQnSZIkSZIkSZL0/uiGjtXmjs3qnt1q/U257rLv4HghagKSa7lufi6Jx+haqQuA2fXozzUwsI9q6uRElwycsxGKCZMqJqkyskVF5WqdJEmSJEmSJEnfyyKepGc1juNvgyD4HQ9lvK8X7X4ZBMHfAr8B/mEcxy+//XlBEPwc+BXw81cub3hY7/vNI8eWJEmSJEmSJEkS0A89m/2K1f0d+9Wa42ZHt2s47zuC48C0uS7Xnb69XGe57qdowxOHqKFJevps4JIFBOWUaZmQzguK+YzZzZLl7S1pURCErtZJkiRJkiRJkvRTWcSTPgDjOP6H587wmK7LdX8dBMHnwK95KOQtgF/yUMoD+JKHot2C7y70fclDYe/vnyy0JEmSJEmSJEnSR2q4DKz3K1Z3X7HbbKjXe067mmF/guOFSQ1pO6XoUmZ9STrGFEABcN2w059vP62po5Y27TlnI2MeEpYR8Swjm5eUiznzmxsWN7dMk+i540qSJEmSJEmS9MmxiCfpvXFdvvtrgCAIfgH8FQ+lu5vr4+c8lPG+BH4P/A/gd+M4/v5ZAkuSJEmSJEmSJH0gxnFkW29Y3b1ku1pxXG9ptzXnwwkOZyZ1QNJOKbqEWVeSjQk5kAO8UrPTDzcwcIgajnFLlw6csxGKCZMqJpll5POKarlkefOCcjEjnE6eO7IkSZIkSZIkSXoLi3iS3kvjOP4W+O1z55AkSZIkSZIkSXqfHdsj96s/sFmtOKy3NJsD533LeDgTHiFuJ+SnmFlXUF5yYuAz4LNXanb64frgzD6qqZMTXTpwyQKCcsKkSkhmOcVixmy5ZHl7S15VBGHw3JElSZIkSZIkSdI7YhFPkiRJkiRJkiRJkt4jp/OJ+9VL1qs7DusN9eZAt2u47HvC+kLUTMjaiKrPmZ0LQkJugBti4Oa5439w2rDjENU0SUefXRjygLCYMp0lpLOScjljvrxhefOCuEgJAst1kiRJkiRJkiR9iiziSZIkSZIkSZIkSdIju4wXVrt7VndfsVttqLc7TtuaYd/BcSCqQ9I2ouhS5n1JxJQ5MGcC14/0w7XhiX3c0CYdXXrhkgeEZUQ0S0jnJdVywfzmhsXNLXGWPHdcSZIkSZIkSZL0AbCIJ0mSJEmSJEmSJEk/0rE9cr/6A5v7e/arDe32yHl3YjyemRwhbicUp5RZX5BfUnIgB6C8Hv1QTdhyiNtvluvGPCCsIqZVSjYvKRdz5rcPy3VRGj93XEmSJEmSJEmS9JGxiCdJkiRJkiRJkiRJr+iGjtXmjvX9HfvVhnqzp9vVXPY9wXEkakKyNqLqc2bngpCQG+CGFEifO/4HpQnb63JdT59duBQPy3XxLCWdlVTLOYvbFyxubpkm0XPHlSRJkiRJkiRJnzCLeJIkSZIkSZIkSZI+euM4sm923N3/gd39msNqQ7utOe9PcBiY1pC0U4ouY94XJGNMBVQEwOx69EO04YlD1NCkHV16YSwCgjIimj0s11XLOfObW5Y3t0xdrpMkSZIkSZIkSR8Ii3iSJEmSJEmSJEmSPlj90LPa3rG6e/mwXrfe0e0ahn1PWF+I6wnZKWbW5cyGkhh4AbwgB/JnTv/h6IKefVxTJyf67MKQB4TllOi6XFfezFnc3LK4uSXOkueOK0mSJEmSJEmS9M5ZxJMkSZIkSZIkSZL03jm0B+7v/8D67p7DZstpc6TftXA4M6kD0nZKcUqZ9+W31uvm16Pv0wdn9tFDua5LBy5FAOWEqEpJ5yXlcvZQrru9Jc5SgiB47siSJEmSJEmSJEnPxiKeJEmSJEmSJEmSpCdxGS+sdves7r5ie7/iuN7RbRsuh47gcCFqQrI2pupzZueCCeF1vS4F0ueO/0EYuHCIao5xyykdGPIRygnTWUoyyykXM+a3tyxfvCAtcst1kiRJkiRJkiRJP5BFPEmSJEmSJEmSJEk/SXfuuFt9xfr+JbvVmmZ9oN+3XPY9kyMkzYTilDLrC/JLSg7kAMyuR9/nMKk5JC1t2nPORihCJlVMMs/JFzNmyyU3Lz6jmM8IQst1kiRJkiRJkiRJ75pFPEmSJEmSJEmSJEmvdWgP3N39G5v7Fcf1lmZz4Lw/wX5gWkPSRpSnlMW5JBoj5sCcCFg+d/QPQhue2McNTdLRZxcuZcCkiInnGdm8ZHazZHF7y3x5QxhNnjuuJEmSJEmSJEnSJ80iniRJkiRJkiRJkvQJGceRzWHN/d0f2KxW1Osdp03NsO8IDgNRHZKdYqouZ3YumBLyAnhBCqTPHf+9NzCwj2qOyYlTduaSQ1BGTGcJ6bykWs5Z3N6yuH1BnCXPHVeSJEmSJJ35VJAAACAASURBVEmSJEk/kEU8SZIkSZIkSZIk6SNwGS/c7+5YvfyK3f2aerPjtK0Zdj3h8ULcTMjbhFmfUw0FKfAXAJTXo7c5ThoOcUOb9vT5CEXIpIpJ5jn5Ysb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" ] }, "metadata": { "image/png": { "height": 1389, "width": 1777 } }, "output_type": "display_data" } ], "source": [ "fig, ax = enm.plot_count_rates()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now the contrast is ${\\sim} 100 \\times$ more favorable than the Earth-Sun system. These systems are by no means easy to study, but they are something that we can work with!" ] } ], "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }