{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from mpl_toolkits.axes_grid1.inset_locator import zoomed_inset_axes\n", "from mpl_toolkits.axes_grid1.inset_locator import mark_inset\n", "\n", "from astropy import units as u\n", "\n", "from poliastro.bodies import Earth\n", "from poliastro.twobody import State\n", "from poliastro.maneuver import Maneuver" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/juanlu/.miniconda3/envs/poliastro34/lib/python3.4/site-packages/astropy/units/quantity.py:785: RuntimeWarning: invalid value encountered in true_divide\n", " return np.true_divide(self, other)\n" ] } ], "source": [ "ZOOM = True\n", "\n", "R = np.linspace(2, 75, num=100)\n", "Rstar = [15.58, 40, 60, 100, 200, np.inf]\n", "\n", "hohmann_data = np.zeros_like(R)\n", "bielliptic_data = np.zeros((len(R), len(Rstar)))\n", "\n", "ss_i = State.circular(Earth, 1.8 * u.km)\n", "r_i = ss_i.a\n", "v_i = np.sqrt(ss_i.v.dot(ss_i.v))\n", "for ii, r in enumerate(R):\n", " r_f = r * r_i\n", " man = Maneuver.hohmann(ss_i, r_f)\n", " hohmann_data[ii] = (man.get_total_cost() / v_i).decompose().value\n", " for jj, rstar in enumerate(Rstar):\n", " r_b = rstar * r_i\n", " man = Maneuver.bielliptic(ss_i, r_b, r_f)\n", " bielliptic_data[ii, jj] = (man.get_total_cost() / v_i).decompose().value\n", "\n", "idx_max = np.argmax(hohmann_data)\n", "\n", "ylims = (0.35, 0.6)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAfYAAAGLCAYAAAA1V7CjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", 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"ax.vlines([11.94, R[idx_max]], *ylims, color='0.6')\n", "\n", "if ZOOM:\n", " ax_zoom = zoomed_inset_axes(ax, 4, loc=4, axes_kwargs={'axisbg': '0.97'})\n", " ax_zoom.plot(R, hohmann_data, lw=2)\n", " for jj in range(len(Rstar)):\n", " ax_zoom.plot(R, bielliptic_data[:, jj], color=l.get_color())\n", " ax_zoom.vlines([11.94, R[idx_max]], *ylims, color='0.6')\n", "\n", " ax_zoom.set_xlim(11.0, 16.0)\n", " ax_zoom.set_ylim(0.52, 0.545)\n", " ax_zoom.set_xticks([])\n", " ax_zoom.set_yticks([])\n", " ax_zoom.grid(False)\n", " ax_zoom.set_title(\"4x zoom\")\n", " mark_inset(ax, ax_zoom, loc1=1, loc2=3, fc=\"none\", ec='0.3')\n", "\n", "ax.set_xlabel(\"R\")\n", "ax.set_ylabel(\"Relative change in velocity\")\n", "ax.set_ylim(*ylims)\n", "ax.set_xlim(2, 75)\n", "ax.set_title(\"Hohmann vs bielliptic transfers\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }