{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "source": [ "# Building Planets with TidalPy\n", "In this notebook we will see how we can use TidalPy's object oriented approach to build a layered planet." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from pprint import pprint\n", "from TidalPy.structures import build_world\n", "\n", "# Turn this variable to True if you would like to learn more about TidalPy World's dictionary structure\n", "print_configs = False" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2-Layer Layered World\n", "First we will start with a simple planet with only two layers. We will assume that the density of these layers does not depend on pressure." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "io_simple = build_world('io_simple')\n", "if print_configs:\n", " pprint(io_simple.config)\n", "_ = io_simple.paint()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4-layer Layered World\n", "Next we will look at a slightly more complicated planet that has four layers, but we keep the assumption that density does not change with pressure." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "earth_simple = build_world('earth_simple')\n", "if print_configs:\n", " pprint(earth_simple.config)\n", "_ = earth_simple.paint()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4-layer Burnman World\n", "Finally, we will look a more realistic version of an Earth model where we use the Burnman package to calculate a self-consistent interior structure. Density will change with pressure and temperature. The functional form of this relationship depends on the equation of state which is different for each layer." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: No module named 'autograd'. For full functionality of BurnMan, please install autograd.\n", "Warning: No module named 'autograd'. For full functionality of BurnMan, please install autograd.\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "earth = build_world('earth')\n", "if print_configs:\n", " pprint(earth.config['layers'])\n", "_ = earth.paint()" ] } ], "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": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 4 }