{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Example: Planetary Gaps\n", "\n", "In this example we demonstrate how to add gaps carved by planets into the gas. \n", "There are in principal three ways to achieve this: setting the gas surface density to the desired gap profile and not evolving it, adding torques to the gas evolution, or changing the viscosity. \n", "In this example we focus on changing the viscosity.\n", "\n", "In steady state the radial mass flux is constant\n", "\n", "$\\frac{\\partial}{\\partial t} \\left( 3\\pi\\Sigma_\\mathrm{g}\\nu\\right) = \\text{const.}$\n", "\n", "To create a custom gap profile in the gas, while still allowing for gas accretion, it is sufficient to simply force the inverse gap profile onto the viscosity $\\nu$. Since $\\nu = \\alpha c_\\mathrm{s} H_\\mathrm{P}$ gaps can be created by modifying $\\alpha$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gap Profiles\n", "\n", "Since we are not self-consistently creating gaps, we have to impose a known gap profile. In this demonstration we are using the numerical fits to hydrodynamical simulations found by [Kanagawa et al. (2017)](https://doi.org/10.1093/pasj/psx114):\n", "\n", "$\\Sigma\\mathrm{g} \\left( r \\right) = \\begin{cases}\n", " \\Sigma_\\mathrm{min} & \\text{for} \\quad \\left| r - a_\\mathrm{p} \\right| < \\Delta r_1, \\\\\n", " \\Sigma_\\mathrm{gap}\\left( r \\right) & \\text{for} \\quad \\Delta r_1 < \\left| r - a_\\mathrm{p} \\right| < \\Delta r_2, \\\\\n", " \\Sigma_0 & \\text{for} \\quad \\left| r - a_\\mathrm{p} \\right| > \\Delta r_2,\n", "\\end{cases}$\n", "\n", "\n", "where $a_\\mathrm{p}$ is the semi-major axis of the planet and $\\Sigma_0$ is the unperturbed surface density, and\n", "\n", "$\\frac{\\Sigma_\\mathrm{gap}\\left(r\\right)}{\\Sigma_0} = \\frac{4}{\\sqrt[4]{K'}}\\ \\frac{\\left|r-a_\\mathrm{p}\\right|}{a_\\mathrm{p}}\\ -\\ 0.32$\n", "\n", "$\\Sigma_\\mathrm{min} = \\frac{\\Sigma_0}{1\\ +\\ 0.04\\ K}$\n", "\n", "$\\Delta r_1 = \\left( \\frac{\\Sigma_\\mathrm{min}}{4\\Sigma_0} + 0.08 \\right)\\ \\sqrt[4]{K'}\\ a_\\mathrm{p}$\n", "\n", "$\\Delta r_2 = 0.33\\ \\sqrt[4]{K'}\\ a_\\mathrm{p}$\n", "\n", "$K = \\left( \\frac{M_\\mathrm{p}}{M_*} \\right)^2 \\left( \\frac{H_\\mathrm{p}}{a_\\mathrm{p}} \\right)^{-5} \\alpha_0^{-1}$\n", "\n", "$K' = \\left( \\frac{M_\\mathrm{p}}{M_*} \\right)^2 \\left( \\frac{H_\\mathrm{p}}{a_\\mathrm{p}} \\right)^{-3} \\alpha_0^{-1}$\n", "\n", "$M_\\mathrm{p}$ and $M_*$ are the masses of the planet and the star, $H_\\mathrm{p}$ the pressure scale height at the planet location, and $\\alpha_0$ the unperturbed alpha parameter.\n", "\n", "We therefore need to write a function that calculates the pertubation $\\Sigma_\\mathrm{g}\\left(r\\right)/\\Sigma_0$. The inverse of this pertubation is then our modification of $\\alpha$." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "def Kanagawa2017_gap_profile(r, a, q, h, alpha0):\n", " \"\"\"Function calculates the gap profile according Kanagawa et al. (2017).\n", " \n", " Parameters\n", " ----------\n", " r : array\n", " Radial grid\n", " a : float\n", " Semi-majo axis of planet\n", " q : float\n", " Planet-star mass ratio\n", " h : float\n", " Aspect ratio at planet location\n", " alpha0 : float\n", " Unperturbed alpha viscosity parameter\n", " \n", " Returns\n", " -------\n", " f : array\n", " Pertubation of surface density due to planet\"\"\"\n", "\n", " # Unperturbed return value\n", " ret = np.ones_like(r)\n", " \n", " # Distance to planet (normalized)\n", " dist = np.abs(r-a)/a\n", " \n", " K = q**2 / (h**5 * alpha0) # K\n", " Kp = q**2 / (h**3 * alpha0) # K prime\n", " Kp4 = Kp**(0.25) # Fourth root of K prime\n", " SigMin = 1. / (1 + 0.04*K) # Sigma minimum\n", " SigGap = 4 / Kp4 * dist - 0.32 # Sigma gap\n", " dr1 = (0.25*SigMin + 0.08) * Kp**0.25 # Delta r1\n", " dr2 = 0.33 * Kp**0.25 # Delta r2\n", " \n", " # Gap edges\n", " mask1 = np.logical_and(dr1" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(dpi=150)\n", "ax = fig.add_subplot(111)\n", "ax.semilogx(r/c.au, Kanagawa2017_gap_profile(r, rp, q, h, alpha0))\n", "ax.axvline(rp/c.au, ls=\"--\", c=\"C7\", lw=1)\n", "ax.set_xlim(1., 1000.)\n", "ax.set_xlabel(\"Distance from star [AU]\")\n", "ax.set_ylabel(r\"$\\Sigma_\\mathrm{g} \\left( r \\right)\\ /\\ \\Sigma_0$\")\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The inverse of this pertubation needs to be imposed on the turbulent $\\alpha$ parameter to produce the desired gap profile in the gas." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Adding planets\n", "\n", "For this example we want to add two planets: Jupiter and Saturn. We therefore add new groups and subgroups to organize them.\n", "\n", "In addition to that we want to refine the grid close to the planet locations. For this we use the function similar to the one discussed in an earlier chapter." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def refinegrid(ri, r0, num=3):\n", " ind = np.argmin(r0 > ri) - 1\n", " indl = ind-num\n", " indr = ind+num+1\n", " ril = ri[:indl]\n", " rir = ri[indr:]\n", " N = (2*num+1)*2\n", " rim = np.empty(N)\n", " for i in range(0, N, 2):\n", " j = ind-num+int(i/2)\n", " rim[i] = ri[j]\n", " rim[i+1] = 0.5*(ri[j]+ri[j+1])\n", " return np.concatenate((ril, rim, rir))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from dustpy import Simulation" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "sim = Simulation()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "ri = np.logspace(0., 3., 100) * c.au\n", "ri = refinegrid(ri, 5.2*c.au)\n", "ri = refinegrid(ri, 9.6*c.au)\n", "sim.grid.ri = ri" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "sim.initialize()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "sim.addgroup(\"planets\")\n", "sim.planets.addgroup(\"jupiter\")\n", "sim.planets.addgroup(\"saturn\")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "sim.planets.jupiter.addfield(\"a\", 5.2*c.au, description=\"Semi-major axis [cm]\")\n", "sim.planets.jupiter.addfield(\"M\", 1.*c.M_jup, description=\"Mass [g]\")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "sim.planets.saturn.addfield(\"a\", 9.6*c.au, description=\"Semi-major axis [cm]\")\n", "sim.planets.saturn.addfield(\"M\", 95*c.M_earth, description=\"Mass [g]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The planets are now set up." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[94mGroup\u001b[0m\n", " - \u001b[94mjupiter\u001b[0m: \u001b[94mGroup\u001b[0m\n", " - \u001b[94ma\u001b[0m: Field (Semi-major axis [cm])\n", " - \u001b[94mM\u001b[0m: Field (Mass [g])\n", " - \u001b[94msaturn\u001b[0m: \u001b[94mGroup\u001b[0m\n", " - \u001b[94ma\u001b[0m: Field (Semi-major axis [cm])\n", " - \u001b[94mM\u001b[0m: Field (Mass [g])\n" ] } ], "source": [ "sim.planets.toc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Viscosity pertubation\n", "\n", "We now have to write a funtion that returns the $\\alpha$ viscosity parameter profile that imposes the desired gap profile onto the gas surface density from those two planets.\n", "\n", "The unperturbed $\\alpha$ parameter shall be constant in this model." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "alpha0 = 1.e-3" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "from scipy.interpolate import interp1d\n", "\n", "def alpha(sim):\n", " \"\"\"Function returns the alpha viscosity profile to create planetary gaps in the gas surface density.\n", " \n", " Parameters\n", " ----------\n", " sim : Frame\n", " Simulation frame\n", " \n", " Returns\n", " -------\n", " alpha : array\n", " alpha viscosity profile\"\"\"\n", " \n", " # Unperturbed profile\n", " alpha = np.ones_like(sim.gas.alpha)\n", " \n", " for name, p in sim.planets.__dict__.items():\n", " # Skip hidden fields\n", " if name[0] == \"_\": continue\n", " \n", " q = p.M / sim.star.M\n", " \n", " # Aspect ratio\n", " h = sim.gas.Hp / sim.grid.r\n", " # Interpolate aspect ratio\n", " f_h = interp1d(sim.grid.r, h)\n", " hp = f_h(p.a)\n", " \n", " # Inverse alpha profile\n", " alpha /= Kanagawa2017_gap_profile(sim.grid.r, p.a, q, hp, alpha0)\n", " \n", " return alpha0 * alpha" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This function now produces the $\\alpha$ viscosity profile that creates planetary gaps in the gas surface density." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(dpi=150)\n", "ax = fig.add_subplot(111)\n", "ax.semilogx(sim.grid.r/c.au, alpha(sim))\n", "ax.set_xlim(sim.grid.r[0]/c.au, sim.grid.r[-1]/c.au)\n", "ax.set_ylim(8.e-4, 2.e-1)\n", "ax.vlines(sim.grid.r/c.au, 1.e-4, 1.e0, lw=0.5, color=\"C7\")\n", "ax.set_xlabel(\"Distance from star [AU]\")\n", "ax.set_ylabel(r\"$\\alpha$ viscosity parameter\")\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now assign this profile to the $\\alpha$ viscosity parameter." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "sim.gas.alpha = alpha(sim)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Growing planets\n", "\n", "Right now we could already start the simulation. But in this demonstration we want to let the planets grow linearly to their final mass. we therefore write a function that returns the planetary mass as a function of time." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "def Mplan(t, tini, tfin, Mini, Mfin):\n", " \"\"\"Function returns the planetary mass.\n", " \n", " Parameters\n", " ----------\n", " t : float\n", " Current time\n", " tini : float\n", " Time of start of growth phase\n", " tfin : float\n", " Time of end of growth phase\n", " Mini : float\n", " Initial planetary mass\n", " Mfin : float\n", " Final planetary mass\"\"\"\n", " if t<=tini:\n", " return Mini\n", " elif t>=tfin:\n", " return Mfin\n", " else:\n", " return (Mfin-Mini)/(tfin-tini)*(t-tini) + Mini" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want to start with planet masses of $1$ Earth mass and they should reach their final masses after $100\\,000$ years. We have to write functions for each planet that returns their mass as a function of time." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "def Mjup(sim):\n", " return Mplan(sim.t, 0., 1.e5*c.year, 1.*c.M_earth, 1.*c.M_jup)\n", "\n", "def Msat(sim):\n", " return Mplan(sim.t, 0., 1.e5*c.year, 1.*c.M_earth, 95.*c.M_earth)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These functions have to be assigned to the updaters of their respective fields." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "sim.planets.jupiter.M.updater.updater = Mjup\n", "sim.planets.saturn.M.updater.updater = Msat" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also have to oragnize the update structure of the planets." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "sim.planets.jupiter.updater = [\"M\"]\n", "sim.planets.saturn.updater = [\"M\"]\n", "sim.planets.updater = [\"jupiter\", \"saturn\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we have to tell the main simulation frame to update the planets group. This has to be done before the gas quantities, since `Simulation.gas.alpha` needs to know the planetary masses. So we simply update it in the beginning." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "sim.updater = [\"planets\", \"star\", \"grid\", \"gas\", \"dust\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the $\\alpha$ viscosity profile is not constant now, we have assign our $\\alpha$ function to its updater." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "sim.gas.alpha.updater.updater = alpha" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To bring the simulation frame into consistency we have to update it." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "sim.update()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The planetary masses are now set to their initial values." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Masses\n", "Jupiter: 1.00 M_earth\n", "Saturn: 1.00 M_earth\n" ] } ], "source": [ "msg = \"Masses\\nJupiter: {:4.2f} M_earth\\nSaturn: {:4.2f} M_earth\".format(sim.planets.jupiter.M/c.M_earth, sim.planets.saturn.M/c.M_earth)\n", "print(msg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now start the simulation." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "sim.writer.datadir = \"example_planetary_gaps\"" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "DustPy v0.5.4\n", "\n", "Documentation: https://stammler.github.io/dustpy/\n", "PyPI: https://pypi.org/project/dustpy/\n", "GitHub: https://github.com/stammler/dustpy/\n", "\u001b[91m\n", "Please read README.md on the GitHub repository for\n", "information about the Terms of Usage.\u001b[0m\n", "\n", "\u001b[93mChecking for mass conservation...\n", "\u001b[0m\n", "\u001b[93m - Sticking:\u001b[0m\n", "\u001b[98m max. rel. error: \u001b[92m 2.81e-14\u001b[0m\n", " for particle collision\n", " m[114] = 1.93e+04 g with\n", " m[116] = 3.73e+04 g\u001b[0m\n", "\u001b[93m - Full fragmentation:\u001b[0m\n", "\u001b[98m max. rel. error: \u001b[92m 4.44e-16\u001b[0m\n", " for particle collision\n", " m[47] = 5.18e-06 g with\n", " m[54] = 5.18e-05 g\u001b[0m\n", "\u001b[93m - Cratering:\u001b[0m\n", "\u001b[98m max. rel. error: \u001b[92m 1.78e-15\u001b[0m\n", " for particle collision\n", " m[110] = 5.18e+03 g with\n", " m[118] = 7.20e+04 g\n", "\u001b[0m\n", "Creating data directory 'example_planetary_gaps'.\n", "Writing file \u001b[94mexample_planetary_gaps/data0000.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0001.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0002.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0003.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0004.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0005.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0006.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0007.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0008.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0009.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0010.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0011.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0012.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0013.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0014.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0015.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0016.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0017.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0018.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0019.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0020.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Writing file \u001b[94mexample_planetary_gaps/data0021.hdf5\u001b[0m\n", "Writing dump file \u001b[94mexample_planetary_gaps/frame.dmp\u001b[0m\n", "Execution time: \u001b[94m0:49:50\u001b[0m\n" ] } ], "source": [ "sim.run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the result of our simulation." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "from dustpy import plot" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot.panel(sim)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As can be seen, the core of Jupiter and Saturn carved gaps in the gas disk, which in turn affected the dust evolution.\n", "\n", "To see that the planetary masses actually changed we can plot them over time." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "t = sim.writer.read.sequence(\"t\")\n", "Mjup = sim.writer.read.sequence(\"planets.jupiter.M\")\n", "Msat = sim.writer.read.sequence(\"planets.saturn.M\")" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(dpi=150)\n", "ax = fig.add_subplot(111)\n", "ax.plot(t/c.year, Mjup/c.M_earth, label=\"Jupiter\")\n", "ax.plot(t/c.year, Msat/c.M_earth, label=\"Saturn\")\n", "ax.legend()\n", "ax.set_xlim(t[0]/c.year, t[-1]/c.year)\n", "ax.grid(b=True)\n", "ax.set_xlabel(\"Time [years]\")\n", "ax.set_ylabel(\"Mass [$M_\\oplus$]\")\n", "fig.tight_layout()\n", "plt.show()" ] } ], "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": "3.8.11" } }, "nbformat": 4, "nbformat_minor": 4 }