Python Matplotlib Animation - Simple Circular Rotation Motion in 2D

circularRotationAnimation.ipynb

{
 "cells": [
  

  
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "# Libraries\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import animation, rc\n",
    "import matplotlib.patches as patches\n",
    "from IPython.display import HTML\n",
    "\n",
    "# Necessary Parameters for angular Motion\n",
    "R = 2\n",
    "T = 3 # secs\n",
    "frames = T*25\n",
    "interval = 40\n",
    "omega = 2*np.pi/T\n",
    "\n",
    "\n",
    "def position(time=0):\n",
    "    x = R*np.cos(omega*time)**3\n",
    "    y = R*np.sin(omega*time)**3\n",
    "    return {'x' : x, 'y' : y}\n",
    "\n",
    "def velocity(time=0,R=0.1):\n",
    "    x = -R*omega*np.sin(omega*time)**2*3\n",
    "    y = R*omega*np.cos(omega*time)**2*3\n",
    "    return {'x' : x, 'y' : y}\n",
    "\n",
    "def acceleration(time=0,R=0.05):\n",
    "    x = -R*(omega**2)*np.cos(omega*time)*6\n",
    "    y = -R*(omega**2)*np.sin(omega*time)*6\n",
    "    return {'x' : x, 'y' : y}\n",
    "\n",
    "def init():\n",
    "    line.set_data([], [])\n",
    "    theObject.set_data([], [])\n",
    "    time_text.set_text('')\n",
    "    return line, theObject, time_text"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def animate(time):\n",
    "    time /= (frames/T)\n",
    "    thisx = [0, position(time)['x'], velocity(time)['x'], acceleration(time)['x']]\n",
    "    thisy = [0, position(time)['y'], velocity(time)['y'], acceleration(time)['y']]\n",
    "    line.set_data(thisx[:2], thisy[:2])\n",
    "    theObject.set_data(thisx[1], thisy[1])\n",
    "    time_text.set_text(time_template % (time))\n",
    "    ax.patches.pop(0)\n",
    "    ax.patches.pop(0)\n",
    "    velo = ax.add_patch(plt.Arrow(thisx[1],thisy[1],thisx[2],thisy[2], width = 0.1, color = 'r'))\n",
    "    accel = ax.add_patch(plt.Arrow(thisx[1],thisy[1],thisx[3],thisy[3], width = 0.1, color = 'b'))\n",
    "    return line, theObject, velo, accel, time_text    \n",
    "\n",
    "\n",
    "# First set up the figure, the axis, and the plot element we want to animate\n",
    "fig, ax = plt.subplots(figsize = (8.0,8.0))\n",
    "ax.set_xlim(( -R*2, R*2))\n",
    "ax.set_ylim((( -R*2, R*2)))\n",
    "ax.set_aspect('equal')\n",
    "ax.grid()\n",
    "time_template = 'time = %.1fs'\n",
    "time_text = ax.text(0.05, 0.9, '', transform=ax.transAxes, fontsize = 14)  \n",
    "time_text.set_text(time_template % (0))\n",
    "line, = ax.plot([0, position(0)['x']], [0, position(0)['y']],'k--')\n",
    "origin, = ax.plot([0], [0], marker='o', markersize = 6, markerfacecolor = 'b')\n",
    "theObject, = ax.plot([position(0)['x']], [position(0)['y']], marker = 'o', markersize = 14, markerfacecolor = 'g')\n",
    "velo = ax.add_patch(plt.Arrow(position(0)['x'], position(0)['y'],  velocity(0)['x'], velocity(0)['y'], width = 0.1, color = 'r'))\n",
    "accel    = ax.add_patch(plt.Arrow(position(0)['x'], position(0)['y'],  acceleration(0)['x'], acceleration(0)['y'], width = 0.1, color = 'b'))\n",
    "\n",
    "\n",
    "anim = animation.FuncAnimation(fig, animate, init_func=init, frames = frames, interval = interval, blit=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "AAAAAAAAAABLAAASswAAAuoAAAE+AAAAxQAAAgkAAAHFAAABmQAAAqAAAAHkAAABdgAAAdcAAAHx\n",
       "AAAC7gAAAUkAAAHtAAAB9gAAAbUAAAD1AAAA/AAAAVAAAAEPAAABbwAAAagAAAKqAAABDwAAAYYA\n",
       "AALCAAACFQAAAVIAAAFVAAACdwAAAYwAAAH3AAABygAAAfoAAAHQAAABCwAAAOMAAAG4AAAAywAA\n",
       "AQgAAAJyAAAA6QAAAYIAAAKUAAABewAAAYQAAANDAAACXwAAAUEAAAFfAAABiQAAAdgAAAE3AAAB\n",
       "nQAAAXcAAAD5AAAArQAAAiUAAADnAAABSgAAAV4AAAIBAAABkQAAApoAAAH+AAABbgAAAV4AAAHw\n",
       "AAAClgAAATgAAAGCAAAB6AAAAVIAAAD8AAAAFHN0Y28AAAAAAAAAAQAAACwAAABidWR0YQAAAFpt\n",
       "ZXRhAAAAAAAAACFoZGxyAAAAAAAAAABtZGlyYXBwbAAAAAAAAAAAAAAAAC1pbHN0AAAAJal0b28A\n",
       "AAAdZGF0YQAAAAEAAAAATGF2ZjU4LjIwLjEwMA==\n",
       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "HTML(anim.to_html5_video())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "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": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}

This notebook file is to render and view the animation of a point object performing a 2D simple circular rotation motion in Jupyter environment.