{ "cells": [ { "cell_type": "markdown", "id": "ddc06da3-fc68-4c6f-8067-14ea862b964d", "metadata": { "tags": [] }, "source": [ "## Example use case: Solar system using the API functionality\n", "`binary_c` can evolve orbiting objects, like in our Solar system, during the evolution of the central star. Here we use the API interface to construct a model of the Solar system" ] }, { "cell_type": "code", "execution_count": 1, "id": "ec48125c-6bf5-48f4-9357-8261800b5d8b", "metadata": {}, "outputs": [], "source": [ "import os\n", "import re\n", "import math\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import pandas as pd\n", "\n", "from binarycpython.utils.functions import temp_dir\n", "from binarycpython import _binary_c_bindings\n", "\n", "TMP_DIR = temp_dir(\"notebooks\", \"notebook_solar_system\", clean_path=True)\n", "VERBOSITY = 1" ] }, { "cell_type": "markdown", "id": "56886792-d379-4eac-b0d4-54508edb39c7", "metadata": {}, "source": [ "First we must construct the argument string that we pass to binary_c. If you look closely you see we make use of the mass units `MMercury` etc in this argument string. `binary_c` recognizes these units, and many more! Moreover, `binary_c` formats the output for the orbiting objects automatically, so we don't have to provide a custom logging string. " ] }, { "cell_type": "code", "execution_count": 2, "id": "e912ffdb-68c1-4caa-8230-c8801db6fc52", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Printing abridged output:\n", "Object Stars 0.00000000000000000000e+00 0.888249 0\n", "Object 0 Mercury 0.00000000000000000000e+00 CS1 1.65904e-07 0.0293464 83.2303 0.240785 0.206 409.513 26.0946 1053.19 0\n", "Object 1 Venus 0.00000000000000000000e+00 CS1 2.44834e-06 0.60499 155.536 0.61511 0.007 299.567 10.2147 1053.19 0\n", "Object 2 Earth 0.00000000000000000000e+00 CS1 3.00246e-06 0.872269 215.045 1 0.017 254.768 6.28319 1053.19 0\n", "...\n" ] } ], "source": [ "M_1 = 1.0 # Msun\n", "metallicity = 0.02\n", "max_evolution_time = 15000 # Myr. You need to include this argument.\n", "api_log_filename_prefix = TMP_DIR,\n", "orbiting_objects = \"\"\"\\\n", "orbiting_object name=Mercury,M=1MMercury,orbital_separation=1AMercury,orbits=star1,orbital_eccentricity=0.206 \\\n", "orbiting_object name=Venus,M=1MVenus,orbital_separation=1AVenus,orbits=star1,orbital_eccentricity=0.007 \\\n", "orbiting_object name=Earth,M=1MEarth,orbital_separation=1AEarth,orbits=star1,orbital_eccentricity=0.017 \\\n", "orbiting_object name=Mars,M=1MMars,orbital_separation=1AMars,orbits=star1,orbital_eccentricity=0.093 \\\n", "orbiting_object name=Jupiter,M=1MJupiter,orbital_separation=1AJupiter,orbits=star1,orbital_eccentricity=0.048 \\\n", "orbiting_object name=Saturn,M=1MSaturn,orbital_separation=1ASaturn,orbits=star1,orbital_eccentricity=0.056 \\\n", "orbiting_object name=Uranus,M=1MUranus,orbital_separation=1AUranus,orbits=star1,orbital_eccentricity=0.047 \\\n", "orbiting_object name=Neptune,M=1MNeptune,orbital_separation=1ANeptune,orbits=star1,orbital_eccentricity=0.009 \\\n", "orbiting_object name=Pluto,M=1MPluto,orbital_separation=1APluto,orbital_eccentricity=0.2444,orbits=star1,orbital_eccentricity=0.244 \\\n", "orbiting_objects_log 1\n", "\"\"\"\n", "# Here we set up the argument string that is passed to the bindings\n", "\n", "argstring = \"\"\"\n", "binary_c M_1 {M_1} metallicity {metallicity} max_evolution_time {max_evolution_time} api_log_filename_prefix {api_log_filename_prefix} {orbiting_objects} \n", "\"\"\".format(\n", " M_1=M_1,\n", " metallicity=metallicity,\n", " max_evolution_time=max_evolution_time,\n", " api_log_filename_prefix=TMP_DIR,\n", " orbiting_objects=orbiting_objects\n", ").strip()\n", "\n", "\n", "output = _binary_c_bindings.run_system(argstring)\n", "print(\"Printing abridged output:\")\n", "print('\\n'.join(output.splitlines()[:4]))\n", "print(\"...\")" ] }, { "cell_type": "markdown", "id": "55c8ea24-0fc0-452c-8121-1e7667433479", "metadata": {}, "source": [ "There is a lot of data here if you uncomment the print statement! \n", "\n", "Let's split it into a dict of lists of data, one list for each planet, and let's select only objects that are still orbiting their central star." ] }, { "cell_type": "code", "execution_count": 3, "id": "323aad96-408d-404a-a56f-da98d51844dd", "metadata": {}, "outputs": [], "source": [ "data = {}\n", "for line in output.splitlines():\n", " match = re.search('Object (\\d+) (\\S+)',line)\n", " if match:\n", " number = match.group(1)\n", " name = match.group(2)\n", " if not name in data:\n", " data[name] = []\n", " x = line.split()\n", " if x[4] == 'CS1':\n", " x.pop(0) # remove first element of the list \"Object\" - this is superfluous\n", " x.pop(0) # remove second element of the list \"index\" - this is superfluous\n", " x.pop(0) # remove third element of the list \"name\" - this is superfluous (it's the dict key)\n", " x.pop(1) # remove (originally) fourth element \"CS1\" - this is superfluous (we select this already) \n", " data[name].append(x) " ] }, { "cell_type": "markdown", "id": "b2b99ae0-2e5f-49b1-bb27-1b65ef926e72", "metadata": {}, "source": [ "Now convert this data to Pandas dataframes" ] }, { "cell_type": "code", "execution_count": 4, "id": "5be09aa5-02cf-4db5-97eb-a4aefbddfac6", "metadata": {}, "outputs": [], "source": [ "dataframes = {}\n", "for planet in data:\n", " dataframes[planet] = pd.DataFrame(data[planet], \n", " dtype=float, # required! argh!\n", " columns=['time',\n", " 'mass',\n", " 'angular momentum',\n", " 'separation',\n", " 'period',\n", " 'eccentricity',\n", " 'temperature',\n", " 'angular frequency',\n", " 'spin of central object',\n", " 'in disc'],\n", " )\n", "# print (dataframes['Earth']) # Uncomment to print the dataframe" ] }, { "cell_type": "markdown", "id": "7a15227d-b69f-4668-8ad8-3e9bfbaa0ee9", "metadata": {}, "source": [ "We now make a plot of the separation (distance from the object to the Sun) as a function of time." ] }, { "cell_type": "code", "execution_count": 5, "id": "ff18274d-0ed7-42cc-8830-b2261a893c6f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[None]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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xQjp8E6KruZvMh0VTrHKqLUIi/RxPKtArwsuMe2lp6TgcTa3G1dfXkZqaxsCBg1rG5eb25P77J5OZmcnOnTs45pjRAAwdOrylVdy0tLadTXn+2DMzu3HDDbfy8MNTqaurZfz4H3fhpxLxoE3r8YEaUA/WynybLnIClA20qgjF0FzjwFXX5LvwCMcQ2nJbjXO7cTe7cDtd0OzG7XThbnaBw4mzuhFXudGvkzUjxftyj+iESN3VlgaMAW4D1nUupMRRt7yQLbqUXEc9+pvv2DHvK3p264Gj2cGaz5dzeFUOzj3VVL2xidrGOp578V/M/f1MAP62/kHqVhVRl9NEc2EVlQs2AsbDapULNkJhLYWLv6WysAffrliGo7yCghe/5NtvP+eOU36Lo8nBVTNv5pSaIdisfp4p6Eh3F+HO0kXrCLurDj/FKy3thNfeOjrSW0g0tnkCS/T7wVIGdT84IEc8nRLuEc8OAn9VLEADcEdnAkokji1lAGSmZvD7H1zO5Demk2ZPpcnl5KdH/oi+aT1xN7tw1ThId9s4svcwbnl5CjaLlay0TErLDtA7pYfxa6vW80vQjbu2ifHDTufxz1/g0w1f0L97H2h20cOdSVllObe+fA9Wi5WfHTMea4MLN64YboX4dAjtz0VXsluxdU8j7eh87P2yWkZL2umcsDqCU0pNwf932gnsA97WWh+ITGhRM5gOdgTnLK/HteEADVUNWLNTvaaE8GfZXr89IZX37Wmr/dV2cEVdu46ObK52RmRkpFBf3xSsSAgrCaFQFLZH2252Qogh0DoCxdvOsgN3C9TOcr2mZWenU13dGEIM/pfd4Rj8bh9Lq+kWuxWLzQotrxZjXLq95XqO0+ni2enLADjxjMGMPW2QnwUnnrjvCC7YXW2HIltuBn0vPippOrdKJsnU6Viy6J6fjSOB66SqoqHlfVZ2WgwjSXwdurlAKdUDyKL1A6h2IBs4W2v9WOdDE0KI+FFRVtfyvkfPjBhGkvjCvbmgP/AGcGI7RSXxCCGSSkVZfcv7HnmZMYwk8YXbZM7DGEnnVWAextnTB4E5QDnGzQWnRTJAIYSIB+UHagFIz7CTnpES42gSW7iJ5xxgntb6F8CNGDcafKC1vhY4DqgBLo5siEIIEXsl+2oA6NUnq52Soj3hJp5c4AsArXUVsBMYaw7vBp4DLoxkgEIIEWuN9Q7qyr4lxVJEft/sWIeT8MK9uaAM8D65uQ0Y5TM8oLNBCSFEvHA2N/H5wjlk2jbhtlrI63VGrENKeOEe8XwBXKOU8jzCux44WynlaeflRKAyUsEJIUSsbf1mGWVFmwBwunMZMKx3jCNKfOEmnvsBBexWSuUBzwL9gdVKqUXAtcB7kQ1RCCFip3TfbgBc7jS69f0x6Rmp7cwh2hNW4tFarwVOAv6ttS7VWm8GfglkAKcCrwG3RzxKIYSIkfKSCgBc7nRGnzg0tsEkiaDXeJRSpwNfaa2dnnFa6/XAn72GX8NIOEIIkXQaGxwAWK02Bo845Brf7xLt3VywBGhUSn0OfAx8rLX+ruvDEkKI+OByGo3wWm02rFZpHjQS2ks8PYGzgHHAb4EZSqlijITkSUSFXRqhEELElNn6uyXcS+IikKCJR2tdi3GzwHsASqk+wLkYieg+YI5SagtmEgI+MZ/vEUKIpNDS66h0hhAx4bZOXQz82/yHUupIjCR0DjAX6KaUWqW1PiXCcQohRIx4jngk8URKp7q+1lpvAjYBTyqlbBh3vI2LRGBCCBEP3C7z3ipLp3aXwktHu0VIB/IA3z6XC4EXOxuUEELEDXcjABarPL8TKeF2i9ATeAqjIdBA87rDXW4yeOmluaxatQKnsxmLxcJ1193EyJFH+i27cOGbnH/+hdjth9xmEiKhOJubcDuNVqmxSlcIkRLunm8GcDnwAbAOaIx0QImooGA7X3zxObNmzcFisbBli+b++6fw4ouv+C3/0ksvMGHC+ZJ4hIhz29Z/ifFbGqwp8gxPpIS757sQeM7sBkGYsrKyKC7ex3vvLeSkk05lxAjF7Nkvsnbtal54YTYul4v6+nomT76fb79dS1lZKVOm3MVll/2chQvf4J57HgDgwgvP4513FjN16hQqKyupqqrk5z//Ne+88xYpKXaKivYwbtx4rrrqdzH+xEIkr8b6WkoKt1Kw8WuKthmPLbrc6djSpf3jSAk38diBlV0RSCLLz+/Ngw/O4I03XuX552eTnp7Otdf+mbKyMu6++z569cpn3rzn+fTTj7nqqt8xd+4cpkyZxoYN6wMu84QTxnLFFb9kzZpVFBfvZe7cV2hqamLixAmSeIToBJfTSWN9DfW1VTTWVVNfU0l1+X6qy/dTVb6f6rL9eI5yALCkUtN0EpkW6fwtUsJNPJ9jPFA6O/KhJK7Cwt1069aNu+6aDMDmzRu57bYbuO66m5g5czoZGZmUlOxn1Khjgy7H87wAwMCBg1reDx06HLvdjt1uJy0t3d+sCcn4vG6Mj+02/nO7Akxzt2yfg68uz4J8prmpTnFQW1XjNe3gslq2sznNba774DSzbEjTWq/XeHGZs7jbxOp2u31icoc23rMNMJfvE0PLq9/xtF6un+3VZrz3Nvder/fnahOXT/zu1stJS7PT0OAwx7v8xhU0plafM0hcQZbR1FhHY30drRJLADZbCgOPPIHCogE073PJ3dQRFG7iuQn4VCn1MPA6UELLTe4Haa13dT60+FdbWcry957j+8Jyvlixhj9f80tsNhv19fWk2KzMePRB7r/jRtJTU3nx9bfZu2MTaz59g6bGOtZ88gZ7ivezY+smVn74CqXllVRWVvD1B/+mZM82Nq+yQtlWtu7YzYGiAv73znPgduNoqOPzt54xv0wu3Lhxu9zmzsj4Ynp/2dxmufZ3FgTdkbTaiQSd1npH12on4ztNiDhhsVrJ6t6L7J696Z53GL0HDKfXYUOxp6Sya+5qoAabXVouiJRwE896jFuobwNuDVLO9zbrpPTunHsASAOybY3c/cDDpNpsuHFz4hH9KTpQxQOPPUGKzUZGego15cVsWesiPzuVmc88x0WnH4XLUcuDTzxDbnYGOZmp7Ni4gpqKA5TshsymA+wvqaS+ppw9W78FwOVsZm/Bhhh+apEsLBYLYDFeLRx87zXOYjYT03q8p5yf8cZI4yl/S+vx9hQ7zmZX2/l9y2Ou14LPeK+48J3PZ72txlvNNgcs2FPTyOiWQ3q3bNIzPa/ZZGb3xGrzv9tqbjZ+W9sl8USMxfv0TnuUUlMI4aeq1vqeTsQUbYOBgtLSGlyu8H6Fb1i+mO++9N/9kPcX1GKxeg1bW32ZPNO9h2kzj59h2k4zplt9luP95fcsA4wvMa2+lG12QJ4diddwq88WdJqfsl47kKDT2uxYCHHawWXlZGdQXdPQsuMMuFP0xAGty/rbsfrEaWm1sw6y7EA7QnO87848pB28T8ytt6W1dWy+6/eOOYry87MpKamO+no7a/7TX1NV0cCIo3tzzgX+H5FIZB2tF6vVQl5eFsAQYEc484bbZM6UcMonu6NPPo+Tz/kxFRWNbZOHiKlE3cmJ+OM0j3hsNjniiZSOtlwwAbgIGAQ4gF3Au1rrDyMYW0JIz+iGrabNZS4hRJJwOIwmc1JSDokrCFERbssFVmA+xkOkFqACoxfTHOA6pdQbwBVaa7lyLIRIeM1NTprMxJPRTW6njpRwjx1vB64AZgH9tNY9tdY9gH7AE8ClGHe+CSFEwquva2p5n5EpbbVFSrin2q4B3tZaT/IeaXaXcJNSagDwO+CxCMUnhBAxU1VR3/K+W7YknkgJ94hnMBDsOs7HwNAORyOEEHGk7EBdy/u8/G4xjCS5hJt4DgBHBJl+BMZ1HyGESHh7d1cCkJZup1t2WoyjSR7hJp53gD8ppS7wnaCUuhD4I/DfSAQmhBCx1ORwsrugDIABQ3vKYxIRFO41nr9j9DD6tlJqE6DN8Qo4EuMhor9HLDohhIiRTd/sxdFo3NE2TOXHOJrkEtYRj9a6DKN76+kYt1P/GPgJRhM5jwJjtdYlkQ5SCCGiqbqygZX/2wFATo90Bo/Ii21ASSbsB0i11hXAHeY/IYRIKnU1Dt57fX3L0c7p5wzHapXTbJEUNPEopQYCJVrreq/hdh0qrVMLIZJL0e4KPn5nM7XVRufKo8b2Z9BwOdqJtPaOeAqAXwMvm8M7CK09e2lbQgiRMCrK6lj95S6+/664ZdzI0X05bdywGEaVvNpLPPcC3/oMS3M4QoiE19zsYte2UvR3xezYUtoy3m63ctJZQxh1Qn+5k62LBE08vt0bhNI6tVJKHu8VQsSl2upGdu8op7CgnJ3bSluu43gMOaIXp549lJweGTGK8NAQbiOh24GbtNbvBJj+c4w223pFILaENGnStdx++10MGjQ4pPLLl39JcfE+LrroZyxc+Cbnn38hdnuHGg0XImbcZrfbLqcLl8vondblMv85jWErFsoO1OJ2eU1zucMaNt67/Jd1umlqctLc5DJfW79vanJSW+1oE3tKqo1hI/M59geH07OXtE4QDe3dXNALOMpr1GDgRKVUhZ/iVuBiID1SwYVKKXUvcBnGacD3gdu11gnRV8HJJ5/a8v6ll15gwoTzJfEkuFB2wh3Z6Ya1E/YedpvrNd+7vWJpNRxwHf6GXa2Gw+hPMi6kptk4fHAuw0bmM3h4Hnbp8iCq2tvDNWDcWNDPHHYDd5n//LEAr0YmtNAopX4MjAdGAy5gGUZfQW9FMw5vzz//DMcddwITJ17Kzp07mD59Gk8++Sy/+tVljB49hoKC7eTk5DBlyjQ+/fRjdu7cwYABAygrK2XKlLt44IFHefrpJ/nmm7W4XC6uuOKXnH32OUyadC25uT2pqqpixownsAXoqjfehLyj9d5RO4PvgNvbCWdkpFJT3SA74UOA0fGuBavVQkqKDXuKDXuK1XxvbTUup0cGhw/OpXe/bLlFOobau8ZTYzaFMwojqTwPPAt85ae4EygBlkQ6yGC01u8rpT7WWjeZR2jdgbJoxhCqhoYGxo//MWPGHM9TTz3OwoVvkJPTHYCf/nQic+fOYcqUaXz11Rfs3buHWbPmUF/fwB//eA3Hjj4Bl8vNGaedzckn/5DqykaczoM7a6fThct58NV7nMvl8ilrvPc3znfn7nK5/O9wnQd34v6ThUt2xDFitRk7YavV6A23ZdhiadlBW21Wr2HPjtt6cD7rwWW0N9xmmsWzjtbD3XtkUlvbaA7jNZ81/HX4rE8klnbP6Wit1wBrAJRSg4A3tNbfdXVg4TCTzl+AfwArgOXRWK/L5Wbn9lJ27ijGgg0LVupqHNgtDezeXs6q/+1gz95dVFXU8/niLTgaXZTsyuCD7RtorOzB5+vW0i9/CAfK9vHK7JXUVDfy71lfs37zUnTBWn520RXghkZHDU8/+j77CqtYs6ycbeu+jsbHSwr+doC+O6/WO0B8dnLW9neAXjv3lmFzvd7rDHlH2pkkEMc7YemOXHiEdTHB9y43f5RSx2mt13Y8pI7RWj+slHoMmAs8RBQ6pHt2+ue43fD5qrkcMfh0+uQNZd++EjJsA9i4fjt2x04KCldTU+Vgw9oiGhscrFy+jtycw9i4aT2ZGblUVtRTX+egorQO3FBX20i39Dz65A3npNGX4Xa7WL/lI7K7mQ+xRWjHYrGA1WbFZjN2cjbPr2Kb/1+fAXd45i/nlh2tz4448I7SGvLOtM1O3BOj73q84ujTO4cDpTUR2VZCiMgK9662FOA+YAKQReu23uxANkY32FG7+KCUOgZI0VqvNY98XgFui8a6MzJTqat1cOTQM1m14W0ABvYbzeD+x7Fs9UsUl24nL/dwrFbIyEzBYrWwZddn1NSVk5OdxxmnXcH321diSclg2Mh8hu04ihUb5nHt1Xez6OP9fLl+No6mRo495iTOHH80a7dmcOLpg+l/2ECsNgs2m/Xgq7nD9bxvO81MLraDO/xkZknyzydEIrO4wzgBr5R6CKP760KgHOPazzKgLzACqAf+qrV+MvKhBozpUox2404DmjGOeLZrrSeHuIjBQEFpaQ0uV3gXI6orGyj4vpTuPdPJ6Z6OzW7FZrdit1ux2Yz33qc+Lr30AubPX0BamvTr0dXktE78kTqJTx2tF6vVQl5eFsAQjFZtQhbufbuXAUuBczCSTSFwndb6O6XUTzDuJGt7o3wIlFJjgJXAEK11oc+0n2N0tzAU4wM+oLWeB6C1XqCUGg2sxbjB4XNgWkdiCFd293TG/WSkfJmEECIM4Sae/sAM8xmZIqXUfuBU4Dut9SKl1IvA/2Hc+RYypdRI4F1/8SilLgfmAzOBxcBE4EWlVJ3WegGA1vpu4O4wP0vULVggfeQJIUS4iaee1kc0WzFOt3l8DVwa6sKUUnbgD8ADQFOAYtOA17TWt5jDi5VSPTGuNS0IdV3tMQ8ZOyQ/PztSYYgIknqJP1In8Sna9RJu4lmH0fmb54hmM3CK1/TDCa8R0dMx7kCbDuwBZntPVEoNBYYBd/rMtwC4XCk1RGtdEMb6AurINR6Q89bxSuol/kidxKcIXOMJW7iJ51/Aq0qpZcD5wH+A3yqlXgA2ATfj/+HSQDYBQ7XW+5VSV/uZPtJ81T7jt5qvCqPrBiGEEAki3K6vXweuBfKAWq31xxjJ6CrgQaACuCXgAtour1hrvT9Ike7ma5XPeE96zgl1XUIIIeJDWIlHKXU0MEdrfZTW2gmgtb4e45bk44EjtNabIhhfew9jJERDoEIIIQ4K91TbEoznZO7wHml2dd0V3V1Xmq++V75yfKYLIYRIEGEd8QDdiO41Fc+1neE+44f7TBdCCJEgwk08M4FblFJjuyCWNrTWWzESne8t2pcAW8wjLSGEEAkk3FNtY4HDgK+VUvVAKUZrAd7cWuthkQjOdC/wglKqHOMh04uAy4ErI7gOIYQQURJu4kkHVnVFIIForecqpdIwGv78PbAd+I3WOqodzgkhhIiMsBoJTVKD6WAjoSAPxcUrqZf4I3USn2LRSGi413japZQ6LtLLFEIIkTzC7Y8nFeOaS9z0xyOEECKxhHvEcx/wF6AnUItxmmo3RgOfhwOpwI0RjE8IIUSSCTfxePrjGYzRWCgY/fEo4KcYRz0d6o9HCCHEoSHcxNMfeFNr7dJaFwGe/njQWi8CPP3xCCGEEH6Fm3hC6Y8nks/wCCGESDLhJp51HDzFBp3vj0cIIcQhJtb98QghRMKoXrmC8o8/xO30bbAlTJF4fjISy7BYcPzoh6SefnbnlxWGsBKP1vp1pVR3jD53arXWHyul/gVcZxbZRRj98QghRCIpWfAqzaWlsQ4jona9XMSwU87EYoveUzDhHvGgtX4OeM5r+Hql1HSMW6w3aq3lrjYhRFJyNxq7N3vPnqT1P7zzC7S01+VYF7NYOOxHZ0Q16UAHEo+HUuoEjNuqnRgtRa+LUExCCBGX3OYl7G7HjqHPL38T42giIxZNGYWdeJRSVwLTMVqp9qRrt1Lqe2CS1npJBOMTQgiRZMLt+vpnwMsYt1XfBlwIXIzRI2ka8J5S6rRIBymEEHGh5YJ+jE+RJbhwj3j+DqwGztBaN3hPUEo9BXwJ3A/8KDLhCSFEHDHzTqwvzSS6cJ/jGQm86Jt0ALTWtcAcjM7ihBBCCL/CTTwFGMknkMOAfR0PRwgh4pmcaouEcE+1/RV4XSmlgVla62bPBKXU5cAk4BcRjE8IIUSSCTfx3AiUATOBe5RS2zDabhsC9AGagZlKqZle87i11tJ+mxAi8bnlIk8khJt47MD35j9v2vwnhBDJT/JOp4TbZI7crSaEEKJTOtRygVLKDpwIDMToGK4OsGutyyMXmhBCxA+3y4Wrvt4ckkOezgj3rjaUUpdhNAb6P4yHSY8GzgAKlVK3RzY8IYSILVdTE2UfLGLn5L+3jLPn5sYwosQXbssF44FXgC0YLRd40n4BsB54UCn1q4hGKIQQMVTx0WIOLHgNx94iAFL7H06PM8+KbVAJLtwjnruBVRgtE8zzjNRabwJOx2i54KZIBSeEELHWdKAEAEtKCnkXX8LAO/+GNT0jxlEltnATz3HAK1prl+8E85melwEVicASyZo1qzj99LF8/PHiVuOvuupKpk6dEpughBAR4WpsBMCe25O88y+QpBMB4SYeB5ASZHoe0NTxcBLXoEGDWbLkw5bhbdu2Ut9yIVIIkag8icealhrjSJJHuHe1LQV+p5R60neCUqof8GdgWQTiSjjDh49g166d1NTUkJWVxeLFixg//scUF+/jjTde5bPPPqW+vp4ePXowbdojfPTRB7z33ju4XC5+97s/8OGH71NYuJvGxkYuu+xKJkw4P9YfSQgBuM3EY0lNi3EkySPcI567gH7At8A/MBoumqiUmgFsALoDkyMaYQI588yz+eyzT3C73WzatIFjjhmNy+WisrKSmTOfYvbsF3E6nWzatAGA7OxsZs2aw1FHHc26dWuYOnU6jz76BFZrdHsDFEIEdvCIRxJPpIT7AOkmpdQZwBPADeboSebrKuCGQ60nUrfTafxzuTnnR+fw6GPT6de7D6OPGY3b2YwFsFutTL77TjIyMthfXExTYwNuZzMD+g/A1eQg3Z7C9X++kYcfvI/aulrGn3MeLodPD+It/YB0Jtj2ltH+OtpfRChxtlMmpEUEL9SUBs6amk4twx1KIPGyPRKg7hppoKm0NoRldH67R6ruXHW1OIqNdo+taentL1OEJOwHSLXW64GzlFI9gWFABsaDpAcwks8hY+c9d/P97l3sqa2hpqKcur37KN+5nRf/cSeX9O5D0aefsL+iHN3cxD8GD6PR5WLt3iIKZzxCaVMTFY5Gtn7zDRXNTXxVXsY1+X1ocrm4dcZDDHtnITZpD6rDtsU6ANFGQawD6KTUww6LdQhJI6zEo5RKAx4Hhmitz1NK1QJfAceaRTYppc7WWu+PcJxxye3nl9kPsrvzVVUFfVPTKHE4sFogzWpl2s7tAHS326lobm41T3ebnSpnM1N3bsOKhQk9e0nSESKOpPbtR4+zx8U6jKQR7hHPZOBa4Hlz+DfAGIxktA6YAdwL/DEy4cW3w2+5HcdXn5FbVcfp3boBcKX5D4yHnUJt3O6WkBJNO2VCWkTnE5ql3WWEsI52F9G57ZGVlUZNbWMIiwi+npC2VjS2R5TWY+nCusvOTqe62tOHZAT+ltsp1P7fafvrsaZnYM/tSdrhh2Oxd6iFMeFHuFvycmCO1vr/zOFLgErgdq11s1JqKPB7DpHEY8/Jod+vfkFJSXWsQxE+8vOzpV7iTH5+NlapE0H4d7UdjnFqDaVUJnAm8LFXh3C7AGnESAghREDhJp5ioK/5fgKQBrznNX00UBSBuIQQQiSpcE+1fQrcpJRqAK4DaoG3lVI9gN9iXP95OqIRCiGESCrhHvHcBHwDPALkA/+nta7A6BrhEeBr4J4IxieEECLJhPsAaQVwrlIqH6jUWnueclwHnKK1/jqy4QkhhEg2Hbo/UGtd4jNci3G0I4QQSavaUcOu6kJG5o7AJk1bdZjcmB4Ba9as4u6772Tw4CEt43r0yOX++x9qd95t27ZSXV3FmDHHc+mlFzB//gLSpE0oIeKGw9nE9+VbAZi38VVqm+v4hbqE0/qfFOPIEpckngg54YSx3HPPA2HPt3TpEvLy8hgz5vguiEoI0VnzN7/OquJ1rcZtr9wpiacTJPF0obVrV/PCC7NxuVzU19czefL9pKSk8Ne/3kxOTneOP34s77//LnZ7CkccMRKARx99kKKiPQBMm/YIOTk5sfwIQhzyfJMOQGaKdAbXGZJ4ImT16lVMmnRty/Cpp55OenoGd999H7165TNv3vN8+unHjB//Y8rKSpkz59+kpKTgdrvJy8vjqKOOAeD88y/i2GPHMHXqFFau/Jpx486N1UcSQgCZ9gzqmo1OHY/LH8Xm8q2M7nV0jKNKbJJ4IsTfqbZly5Yyc+Z0MjIyKSnZz6hRRluq/fodRkqK/45cR440jnx69syjsbHBbxkhRPTkpedSV1PP0Xkj+f2oX+Nyu7Bawn0SRXiTxNMJ6w9s5OlP5tLzQDd2V+1m/qbXW6a5gbnTnuAX064lNT2Nbc/v4NuSDTRutVHaUM5Lm14zllG6kfTGTKo3uahpquXlzW9iT7GzoXQze1L2U7qxPrS+RXwEmid4VycB5unI+jvQf1DAmAOvJOCyUtPsNDY2+5kS5jqCrCfQPMG3V7j1EnhZYa8/SFjh1nFH6jcl1YrD4fSz7qAr8j86St+JBmcDe2r2AtAjrTuAJJ0IkMTTCU9/OxeAXdWF7Ny4jXlTn2k1PeuYPF6e+hzWFBspWakccJRSt99NTVMty/caXRdVZVdT9OFa9qYeoNHpYMW+1VhTbBTV7KW0soryfSG0sCyE6FIWLIztMybWYSQNS0d+uSSZwUBBaWkNLld422Ld/vW8rBdQ21Tf8msoVCE1P+9dPkgT7+FOCbrmAOsJNE/QzxFgUvDPHmbMAeK126w4na4OrD/QasKsr7BrhbC3fbCpAdcftLoiuH4/o1PsNpqa/ddJ8PWEvo6Dc0SmvlJsKeSl9+T43qMYkTssrGUmio625G61WsjLywIYAuwIZ1454umEMb1Hce7Rp0rz+3FIukWIP1InwkNOVgohhIgqSTxCCCGiShKPEEKIqJLEEwGTJl3L6tUrW42bOfMR/vvft2MTkBBCxDFJPBFwwQUT+eCDgx2xNjU18cUXyzjnnPNiGJUQQsQnuastAs46axzPPPMvGhoaSE9PZ9myz/jBD07ixRfn8M03a3G5XFxxxS85++xzmDTpWkaMUGzfvo26uhruu+8h3G43kyffxbPPzgXg2muv5p57plFSsp8nn5yJ3W4nPT2d++9/iMzMbrH9sEIcgtyOeiyp0j5bpMgRTwSkpaXxwx+exeeffwrAokXv0LdvP/bu3cOsWXP45z+fZt6856muNm4lPfLIo3n88acYO/YkPvpoccDlLlv2GWeffQ5PPvksEydeSlWV3IoqRLQ1rltEzdw/4/hmUaxDSRqSeCLkggsu5oMPFlFSsp/q6mqsVitab2bSpGu59dbraW5uZt++IgCOOEIB0KdPHxyOti0TeB7q/fWvr+HAgQPceOOfWLp0CXa7HKAKEU1utxvHitcAN41fvxbrcJKG7Mk6wfHtB2xf/h9I60a/vIHU7PmeVx68mXMHZJFbvJpReXZuPm8oLreb+V9sIvebV3GV7qJh6bPU5eXg+HY7TbUNODOLKNuzneqF06h3NFG0cyv1S57i0y17+dHAXvz23EG8slzzxvSb+fVpR/oPxk8LFGG3Z+W3FYtw2/0KY50BW83wMz6s9blptNlodjrbLxqR9UVgGWG2BxeRmMNqtaTzy6izWnAFaE2iK9YX1t9XoJLOptDXJ0ImiacTGpf/x3xTi7NoE+MHpvHc6q3Mu+QI0u0NrHNUcfMLi6hvcnHqwBzSyqy4HXW4SnbgdKThqizDXd9E92obx/VOY9KcRfTLTuWwblZc+7czIrWZGf/9nnS7FasFbji5P85938f2QycIR6wDEG20bR40wdj8tygvwidttXWirbbmvRrnyldxlBdjy+3ftkBY7XsFalsrjGX4LRtmu2SdXl+Y64zANvLXjlpqmh2Hv9apox1zl67Pz/jADcF1zfoCjm47Mj09hYYGfy2GB1pl59YXkWVYLDRt/AQAa+9hdJv4jwDrSVzSVluCsfdT9PvddGl/Kg5Ju2DxJ1HrxFW1H2fhd4R1GlkEJTcXCCGEiCpJPEIIEYQ1p7fxmp0f40iSh5xqE0KIINJ+cCm2vkdgP/yYWIeSNCTxCCFEEJbUTFKGnxzrMJJKUiQepdTNwO8wrv5tBX6vtS6NbVRCCCH8SfhrPEqp0zCSzsla61HAZuDB2EYlhBAikIRPPEApcJ3WusYcXoPxbI4QQog4lPCn2rTWmzGOclBK5QD/AJ6KaVBCCCECSoYjHgCUUocBnwBfaK2fjnU8Qggh/EuKxKOUGg0sB97WWv8p1vEIIYQILOFPtSmlBgFLgOu11v+JdTxCCCGCi5vEo5QaA6wEhmitC32m/Rz4OzAUozG6B7TW88zJNwPdgDuUUneY4zZorX8ZjbiFEEKEJy4Sj1JqJPAufuJRSl0OzAdmAouBicCLSqk6rfUCrfVNwE3RilUIIUTnxDTxKKXswB+AB4BAPS5NA17TWt9iDi9WSvUE7gMWdH2UQgghIinWRzynAw8B04E9wGzviUqpocAw4E6f+RYAlyulhmitCyIRiNmvRIds376R3/zmN8yYMYPzzz+/ZfwFF1zA0UcfzYMPyvOssZCfnx3rEIQPqZP4FO16iXXi2QQM1VrvV0pd7Wf6SPNV+4zfar4qICKJpyMdwYFRYRUVdQwaNJi33lrID37wQwC2bdtKTU0tDQ1NCdkHSaJL1L5fkpnUSXyKQEdwYYtp4tFaF7dTpLv5WuUz3rOVciIbUccNHz6CXbt2UlNTQ1ZWFosXL2L8+B9TXLyPTz75mFdfnY/VamX06DH86U/XM2fOM3z33bfU19dzxx3/YOnSJSxb9hlOp5OJEy/hpJNOYfLku3j22bkAXHvt1dxzzzQWLfpvy3xnn30uJSX7ue66G3E6nVxzzS+YPXseaWlpsd0YQggRRLw/x9Nef72uqEQRojPPPJvPPvsEt9vNpk0bOOaY0VRVVfL888/w+OOzmDVrDgcO7GflyuUADBo0hKeffh6Ho5Gvv/6SZ5+dy+zZL7J79y6CdUnume+nP72QZcuW4nQ6+frrrzj++LGSdISIsL2ltby9bDtlVQ2xDiVpxPpUW3sqzVffE5A5PtPjwrnnTuDRRx/ksMP6c+yxxwHgdDqpqCjntttuAKCuro49e4y7xQcOHATArl07OfLIo7HZbNhsNq6//mb27i1qtWzvROSZLzOzG2PGHM+KFV+xaNE7XH31/3X5ZxTiUNLsdPHcu5so2FtFeXUj1/zkyFiHlBTiPfF4ru0MB9Z7jR/uMz0m1m8v5b/z17Bn+0aKtpXy1KJCNu/Yzz3Tn2LI8Rey+oPN7NldSbM1i+xRV2G12qjfupxPNRzYVUhqRhWrS5dTXVrNtpUr2Zv2JW63m++WPMURp/yS7bv2cufTX+JsbmBrwU4efmUtxVuN+VYeMI6aqpwjePCJF2hqqMG55AAsORAw3navYIVwicvdTqEgB2ohC20ZwQtZrFZcruAHxJGJtZ3tEdJCIlAkhA/TXomu3h5WqyWk66ihxNH5T9v+etxAo8PZMpyaYmt3mSI0cZ14tNZblVIFwKXAW16TLgG2aK13xSYyw9K1e9i6u4K6ykYaHE72ltaRlj+KqsI1VDZnU1tVRLMlnayBo1j57gxwu7Bn5NI3ZyTVdU3YXQ4spXVAT1Jyh7Pyv48AbroPOoUKRzppPYez4p0HSemWhy0jjwMV9dTUN2F3O7CW1RlB2HpTXV5Mj8GnUlxeH8vNIUTSSk+1ceaYw2IdRtKI68Rjuhd4QSlVjvGQ6UXA5cCVMY0KuOj0IeR2z6CqpjdwijFy5MXAxeb73sAZ5oWqCa1nPvpXrQYtR/r5OEf6aXbuhJGtBt1uF2Wru3HWj84lLT2z3Zjbu2jWfoFQioRQop0iIYQRtFB6egqNDc2dWkaocbT3WSKxPUJaSggLiUb9WwKUyMhIob6+KaSFdLb+g8XRqkw7RdJTbfTMSWfU0Dxys+X6aaTEfeLRWs9VSqUBtwG/B7YDv9FavxrbyGBgn2xuPuawmN0iWlS0h7vuup1fXDaRyy8/MSYxxCu5dTf+SJ0ID0t756gPAYOBgs48xyNfpvgj9RJ/pE7iUwSe4xmC0YZm6POGvTYhhBCiEyTxCCGEiCpJPEIIIaJKEo8QQoioksQjhBAiquL+duoosIFxh0ZHdWZe0XWkXuKP1El86ki9eM0TdpMOcju10SfQslgHIYQQCeoM4H/hzCCJB9KAE4G9gLOdskIIIQw2oB+wEmgMZ0ZJPEIIIaJKbi4QQggRVZJ4hBBCRJUkHiGEEFEliUcIIURUSeIRQggRVZJ4hBBCRJUkHiGEEFElTeZ0glLq58DfgaEYHSE9oLWeF9OgkoBSyg5UA+k+k2q11llmmfHAVOBooBh4Umv9qM9yxgKPAGOBKmAuMFlr3eRVZgQwA+Pp62bgdeAvWmvpscyklBqD8ZDgEK11odf4qNWBUqqPWWYCxn5rEXCz1npfhD9uwghSL1uBYX5myddaHzDLxLRe5Iing5RSlwPzgcXARGAp8KJS6tIYhpUsFEbSuQo4xevfjwCUUqcC7wKbgZ9h1MN0pdRtLQtQajiwBKgHLgceBW4BHvMqkwt8AvQBfgPcCVwJvNKlny6BKKVGYmxru8/4qNWB+UNkMXAS8EfgT8BpwAfmtENOkHrJwvghfAetvzunABVmmZjXyyFZaREyDXhNa32LObxYKdUTuA9YELuwksKxgAtYoLWu8zP9XmCN1vrX5vAHSqkU4G9KqSe01o0YX7xK4CKttQNYpJSqA55QSj2gtd4DXAfkAmO01qUASqlCs+xJWuuvu/RTxjFzx/EH4AGgyU+RaNbBlRh/E0dprTeZZdYB3wGXAK92wSaISyHUy2jAAizUWm8OsJiY14sc8XSAUmooxqHsGz6TFgAjlVJDoh9VUhkDbPOXdJRS6cAP8b/tewCnmsPjgf+aXyzvMjZzmqfMZ54vlulDjNN8P+ncR0h4pwMPYfwa/qv3hBjUwXhgo2fnBqC13ghs4tCrp4D1YhqDcSSzJcgyYl4vkng6ZqT5qn3GbzVfVRRjSUbHAo1KqQ+UUjVKqXKl1DNKqWyM0wgpBNn2SqlMYIBvGa11Ccb5bE/9jPRTxgkUIHW4CRiqtb4H4/y+t2jXQZsyXus71OopWL2A8d0pA15RSlWY35//KKX6AsRLvcipto7pbr5W+Yz3XHTLiWIsyehYjG04G+OU5lhgCsYf851mmWDbPlD9eMp56qd7CGUOSVrr4iCTQ/n7j2QddAc2BigzIkicSaedegHju9MX2AA8gZEc7gU+VUodT5zUiySejmmv1yRXVKJIXlcAZVrr9ebw50qpYuDfHDwVEIiL0OsnWDmpw8BC2b6RrAOpp9BdD1i9rk8uU0ptxOgv51fAe+3MH5V6kcTTMZXma7bP+Byf6aIDtNaf+Rnt+4UJtu2rApTxlKv0KhuozM72Iz1khfL3H8k6CFZGvmtetNYr/Yz7QilViXE05LkrLab1Itd4OsZzXnO4z/jhPtNFmJRSvZVSvzdv4PCWYb4WY3TYF3Dba61rgD2+ZZRSvTG+KJ760X7K2IAhSB0Gs43o1kGbMl7rk3oyKaW6KaWuUUod6zPeCqQCB+KlXiTxdIDWeivGRTbfZ3YuAbZorXdFP6qk4QKeASb5jL8CY2f3MfA58DOllPeh/iUYv7JWmcMfAhcopVJ9yjgxnrnylPmReRu8x3ggy1yP8ENr3UB06+BD4BilVMsFa6XUUcCRSD15a8B4mHOyz/gLMX64LTWHY14v0gNpBymlrgZeAP6F8SDXRRgPUV2ptT5knivoCkqpfwJ/Bu4HlmE8lPY3YJbW+ial1NkYf9ivYzxxfao5/Q6t9cPmMkYCa4EvgJnAERg3Kjyvtf6zWSYf4+JoIcYF2DzgYWC51vpQu003IK+/9QGeJ+SjWQdKqTTgG4xu6u8yw3oQI8kdr7X2d3dX0gtQL7dg3Gr9BPAOcAxwD/Cp1nqiWSbm9SJHPB2ktZ6LkWjOA94GzgR+I0knIm7F+EO+EuPazlUYv+JuAdBaf4LxC+1IjG3/S+B2zw7PLLOZg7/QFpjzzgBu9CpTgtEaQinGk/dTgdcwjq5EENGsA/Nh1HMxdpbPAk8CXwLnHapJJxCt9Qzg98BZGInnNuBp4OdeZWJeL3LEI4QQIqrkiEcIIURUSeIRQggRVZJ4hBBCRJUkHiGEEFEliUcIIURUSeIRQggRVdJWmxBBmE2J1Gqta5VSc4GrtNbtNYDZFXGMx3heJhejhW7P0+ljtdarA8zzNsaDzZ9prc/q+iiFCI0c8QgRgFLqxxhtTuWbo54Bfh14ji51LvA/86E9bxf6K2z2u9JeS95CxIQc8QgR2EkYPWoCoLX+CvgqRrGcg1d/96YCjCMa37a5ACZgdNZW0bVhCRE+OeIRIs6Z7WYdS9uGFxcCxyqlBvmZ7WLgM6TbABGH5IhHCD8813PMwQKl1GfADryu8ZhlxgJ/AB7B6O9+L0ajjC9jNK74W4wm6T8E/uzdh73Zku9UjDaxUjHavLpXa73YJ5xxGN0Zr/UZ/zZwE8bptie8lpsC/BSj0c6/eI3/A0a7XedrrRf5fN7lgE1rfaJSailGS8erzOXXAeO8OuYTolPkiEcI/54B3jLf34yRIPzph9E6+TKMxk2bgecxGjc9GyP5zAcux0hOACilRmGctjsKo2Xgv2GcGluklPJtpPQc4BOttW/DijuBdRin27ydhdEt8ds+418HmsxYWiilhmCcVnzZa/TpGA1C3o7R+rS/Lo6F6BBJPEL4YV7P+dYcfFtr/VGAoj2Bf2it/6K1fgrjCMGK0dT8D7XW/9JaT8Jogt77Yv8TQAlG8/EPa60fw+ha4AvgcZ++UsYRuH+Tt4EzlVI9vMZdDHyttS7y+UxlwAfART7LvxKjHyTvltW7Ab/SWs8yP5szwPqFCJskHiE67y2v99+br+/73IFWgHF0hFIqD6MbjUVAhlKql1KqF8aNDG8BfYATzbLDgcEETzx2wNNHigXjCOitAOVfNtfjnQSvxLjl2jtR1QNtulEWIhIk8QjRecVe7z39kOz3KeMEPM//DDNfr8c46vH+N8OcNtB8PRco0Fpv97dirfU3GNeePLdVnwQcBrwZINZ3gBrgMgCl1JHAaFqfZgMo1Vq7AixDiE6RmwuE6KQAnV4F6+jKZr7+i7bXYTw2mK/n0H73zguBa8zTZxcD683u2f3FWud5sNQsfwXgAN7wKSqn1kSXkcQjRPTtMF+btdatkop5p9sQoE4pZcW44+2P7SzvbYzeI88EJgL/aaf8y8CvzPIXAR9orctDD1+IzpFTbUIE5vnVH9HvidZ6L8atylcrpQ7zjDdvg34eoztiO8at2j2AJe0schlGF8W3YtzUEOg0m8dHGKf1fo9xC7jvg6lCdClJPEIEVmK+3q6U8ts0TSfcAKQBq5VS/1BK/Rn4BOMazT3m8z7nAOu8n/3xx7zj7F3gPGC7ed0nWPlm4DWM26prMa77CBE1kniECOw/GNdXrgEeiuSCzdu1T8M48rkVmI5xC/PVWusHzWKhXN/xeNt8DXQ3m6/55utCrXVdiPMIEREWtzvYNVAhRDJSSp0ELAd+orV+P9bxiEOLHPEIcWj6I1CE0ZSPEFEld7UJcQhRSs0GhmI053OrtEggYkGOeIQ4tPTGuIHhGeDxGMciDlFyjUcIIURUyRGPEEKIqJLEI4QQIqok8QghhIgqSTxCCCGiShKPEEKIqJLEI4QQIqr+H50w4PJv2nL5AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# set up seaborn for use in the notebook\n", "sns.set(rc={'figure.figsize':(20,20)})\n", "sns.set_context(\"notebook\",\n", " font_scale=1.5,\n", " rc={\"lines.linewidth\":2.5})\n", "\n", "x = 'time'\n", "y = 'separation'\n", "\n", "for planet in dataframes:\n", " #print (dataframes[planet])\n", " df = dataframes[planet]\n", " p = sns.lineplot(data=df,\n", " sort=False,\n", " x=x,\n", " y=y,\n", " errorbar=None,\n", " estimator=None,\n", " legend='full'\n", " )\n", " xx = df.head(1).loc[0,x]\n", " yy = df.head(1).loc[0,y]\n", " p.text(xx,yy,planet)\n", " \n", "p.set_xlabel(\"time/Myr\")\n", "p.set_ylabel(\"separation/au\")\n", "p.set(yscale=\"log\")" ] }, { "cell_type": "markdown", "id": "4ab65543-b864-41d9-98e6-10a5ef051a22", "metadata": {}, "source": [ "The inner objects are swallowed by the Sun when it becomes a red giant. Earth survives, although mass loss from the red-giant Sun and tides mess with its orbit somewhat. Jupiter is pushed out beyond the orbits of Saturn and Uranus, and this simple model assumes they are ejected in the interaction because Jupiter is (far) more massive. There are options to detect when its orbit is too close to Neptune, and hence possibly eject Neptune, but I'll let you explore these.\n", "\n", "We now construct a plot of the eccentricity or temperature of each planet vs time. " ] }, { "cell_type": "code", "execution_count": 6, "id": "13214947-a209-4695-a6e2-692614af05dd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[None]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot eccentricity\n", "# set up seaborn for use in the notebook\n", "sns.set(rc={'figure.figsize':(20, 15)})\n", "sns.set_context(\"notebook\",\n", " font_scale=1.5,\n", " rc={\"lines.linewidth\":2.5})\n", "\n", "\n", "#########\n", "x = 'time'\n", "y = 'eccentricity'\n", "for planet in dataframes:\n", " df = dataframes[planet]\n", " p = sns.lineplot(data=df,\n", " sort=False,\n", " x=x,\n", " y=y,\n", " errorbar=None,\n", " estimator=None,\n", " legend='full'\n", " )\n", " xx = df.head(1).loc[0,x]\n", " yy = df.head(1).loc[0,y]\n", " p.text(xx,yy,planet)\n", " \n", "p.set_xlabel(\"time/Myr\")\n", "p.set_ylabel(\"Eccentricity\")\n", "p.set(yscale=\"log\")" ] }, { "cell_type": "code", "execution_count": 7, "id": "5264a6e1-f0d8-4df5-b20e-b6be8a1cfc78", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[None]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot Temperature\n", "# set up seaborn for use in the notebook\n", "sns.set(rc={'figure.figsize':(20, 15)})\n", "sns.set_context(\"notebook\",\n", " font_scale=1.5,\n", " rc={\"lines.linewidth\":2.5})\n", "\n", "\n", "#########\n", "x = 'time'\n", "y = 'temperature'\n", "for planet in dataframes:\n", " df = dataframes[planet]\n", " p = sns.lineplot(data=df,\n", " sort=False,\n", " x=x,\n", " y=y,\n", " errorbar=None,\n", " estimator=None,\n", " legend='full'\n", " )\n", " xx = df.head(1).loc[0,x]\n", " yy = df.head(1).loc[0,y]\n", " p.text(xx,yy,planet)\n", " \n", "p.set_xlabel(\"time/Myr\")\n", "p.set_ylabel(\"Temperature/K\")\n", "p.set(ylim=(30,3000)) # might be necessary?\n", "p.set(yscale=\"log\")" ] }, { "cell_type": "markdown", "id": "8feac6a0-4a91-4600-8b3b-fab149ffb640", "metadata": {}, "source": [ "It gets a little toasty on Earth in the not too distant future!" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.9" } }, "nbformat": 4, "nbformat_minor": 5 }