{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Gravimetry - Simulate Earth Tides using tidegravity\n", "O. KAUFMANN, 2019-2021." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from datetime import datetime\n", "from tidegravity import solve_point_corr\n", "from matplotlib import pyplot as plt\n", "import matplotlib.dates as mdates" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "nbsphinx-thumbnail": { "tooltip": "This tooltip message was defined in cell metadata" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Set location (lat, long) on INT,1924 or INT,1967 or any reasonable spheroid and time (utc)\n", "lat = 50.445818\n", "lon = 3.955923\n", "# Note: West should be entered as a negative longitude value\n", "alt = 74.96\n", "t0 = datetime(2019, 5, 9, 12, 19, 56)\n", "n_days = 10\n", "\n", "# Calculate corrections for one day (60*60*24 points), with 1 second resolution\n", "result_df = solve_point_corr(lat, lon, alt, t0, n=n_days*60*60*24, increment='S')\n", "\n", "# Plot the corrections using matplotlib\n", "fig, ax = plt.subplots(figsize=(12,6))\n", "ax.plot(result_df['g0'])\n", "ax.set_ylabel('Tidal Correction [mGals]')\n", "#set ticks every day\n", "ax.xaxis.set_major_locator(mdates.AutoDateLocator())\n", "#set major ticks format\n", "ax.xaxis.set_major_formatter(mdates.AutoDateFormatter(ax.xaxis.get_major_locator()))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.051548775464031284" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "result_df['g0'][0]" ] } ], "metadata": { "celltoolbar": "Edit 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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }