{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Thermal Exploration using TidalPy\n", "In this notebook we will see how we can use TidalPy's object oriented approach to build a layered planet. We will then apply different temperatures to its mantle layer and see how its physical properties and tidal heating potential are affected." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Build the Planet\n", "For this example we will build a simple version of Io. We will use the pre-built TidalPy configuration for \"io_simple\"; its configurations will be printed below." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from ipywidgets import interact, widgets\n", "%matplotlib widget \n", "from TidalPy.structures import build_world, build_from_world\n", "from TidalPy.structures import Orbit\n", "\n", "print_configs = False" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from pprint import pprint\n", "io = build_world('io_simple')\n", "\n", "if print_configs:\n", " print('Complex Compliance Model Parameters:')\n", " pprint(io.Mantle.rheology.complex_compliance_model.config)\n", " print('\\nSolid Viscosity Model Parameters:')\n", " pprint(io.Mantle.rheology.viscosity_model.config)\n", " print('\\nPartial Melting Model Parameters:')\n", " pprint(io.Mantle.rheology.partial_melting_model.config)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the Planet's Interior Structure\n", "Remember this is just a simple version of Io (no density as function of pressure)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d233e14f422d4096b1667f9cf8dae483", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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