From 4910318c65fc750a5a8db424a168097e6305a784 Mon Sep 17 00:00:00 2001 From: Gleb Date: Sat, 19 Nov 2022 22:41:30 +0000 Subject: [PATCH] Initial commit --- binary_orbits.ipynb | 109 +++++++++++++++++++++++++++++++ elliptical_orbit_plotter.ipynb | 107 +++++++++++++++++++++++++++++++ gravitational_field_earth.ipynb | 101 +++++++++++++++++++++++++++++ potential_well.ipynb | 110 ++++++++++++++++++++++++++++++++ 4 files changed, 427 insertions(+) create mode 100644 binary_orbits.ipynb create mode 100644 elliptical_orbit_plotter.ipynb create mode 100644 gravitational_field_earth.ipynb create mode 100644 potential_well.ipynb diff --git a/binary_orbits.ipynb b/binary_orbits.ipynb new file mode 100644 index 0000000..692636a --- /dev/null +++ b/binary_orbits.ipynb @@ -0,0 +1,109 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib widget\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "a = 3 # Semi major axis (AU)\n", + "r_1 = 1 # Planet 1 initial orbit radius (AU)\n", + "M_1 = 3 # Star 1 mass (Solar masses)\n", + "M_2 = 2 # Star 2 mass (Solar masses)\n", + "\n", + "r_2 = a - r_1\n", + "T = np.sqrt(a ** 3 / (M_1 + M_2))\n", + "v_1 = 2 * np.pi * r_1 / T\n", + "v_2 = 2 * np.pi * (a - r_1) / T" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "t = np.linspace(0, T, 10000)\n", + "theta = 2 * np.pi * t / T\n", + "x_1, y_1 = -r_1 * np.sin(theta), -r_1 * np.cos(theta)\n", + "x_2, y_2 = -r_2 * np.sin(theta), -r_2 * np.cos(theta)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "a812abd4d5be487ca35c0b0377dc7e28", + "version_major": 2, + "version_minor": 0 + }, + "image/png": 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"31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" + } + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/elliptical_orbit_plotter.ipynb b/elliptical_orbit_plotter.ipynb new file mode 100644 index 0000000..38da77d --- /dev/null +++ b/elliptical_orbit_plotter.ipynb @@ -0,0 +1,107 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib widget\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "a = 5 # SEMI_MAJOR_AXIS Astronomical Units\n", + "b = 2 # SEMI_MINOR_AXIS Astronomical Units\n", + "M_star = 3 # Solar mass\n", + "\n", + "G = 6.67e-11\n", + "\n", + "E = np.sqrt(1 - b**2 / a**2)\n", + "T = np.sqrt(a ** 3 / M_star)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "theta = np.linspace(0, 2 * np.pi, 10_000)\n", + "r = a * (1 - E**2) / (1 + E * np.cos(theta))\n", + "x, y = r * np.cos(theta), r * np.sin(theta)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "4d54dca5c1bf4c1ea47e63b0a9d18cb4", + "version_major": 2, + "version_minor": 0 + }, + "image/png": 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"31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" + } + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/gravitational_field_earth.ipynb b/gravitational_field_earth.ipynb new file mode 100644 index 0000000..76286cb --- /dev/null +++ b/gravitational_field_earth.ipynb @@ -0,0 +1,101 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"Gravitational field strength vs range (Earth).\"\"\"\n", + "\n", + "import math\n", + "import matplotlib.pyplot as plt\n", + "\n", + "IN_STEPS = 20\n", + "OUT_STEP = 0.25\n", + "OUT_COUNT = 40\n", + "G = 6.67 * 10e-11\n", + "M = 5.97 * 10e24\n", + "R = 6.38 * 10e6\n", + "\n", + "density = M / ((4/3) * math.pi * R**3)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "inside_x = []\n", + "inside_y = []\n", + "for i in range(IN_STEPS):\n", + " r = R * i / IN_STEPS\n", + " g = (4/3) * math.pi * G * r * density\n", + " inside_x.append(r)\n", + " inside_y.append(g)\n", + "\n", + "outside_x = []\n", + "outside_y = []\n", + "for i in range(OUT_COUNT):\n", + " r = R * (1 + i*OUT_STEP)\n", + " g = G * M / r**2\n", + " outside_x.append(r)\n", + " outside_y.append(g)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(inside_x, inside_y)\n", + "plt.scatter(outside_x, outside_y)\n", + "\n", + "plt.xlabel(\"r (m)\")\n", + "plt.ylabel(\"$g \\/ (N \\cdot kg^{-1})$\")\n", + "\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.9.2 64-bit", + "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": "3.9.2 (default, Feb 28 2021, 17:03:44) \n[GCC 10.2.1 20210110]" + }, + "orig_nbformat": 4, + "vscode": { + "interpreter": { + "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" + } + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/potential_well.ipynb b/potential_well.ipynb new file mode 100644 index 0000000..2521ee7 --- /dev/null +++ b/potential_well.ipynb @@ -0,0 +1,110 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib widget\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "# Mass of planet / kg\n", + "M = 5.974e24\n", + "# Radius of planet / m\n", + "R = 6.378e6\n", + "# Universal gravitational constant\n", + "G = 6.67e-11" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "x = np.linspace(-4 * R, 4 * R, 1000)\n", + "y = np.linspace(-4 * R, 4 * R, 1000)\n", + "\n", + "X, Y = np.meshgrid(x, y)\n", + "r = np.sqrt(X**2 + Y**2)\n", + "r[r < R] = np.NaN\n", + "V = -G * M / r" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "bcd3de785fd043ab9ae1efba1f559a2e", + "version_major": 2, + "version_minor": 0 + }, + "image/png": 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", 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