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   "source": [
    "# Un nouveau document, base sur mes calculs en *line tracing*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "Je commence déjà par charger les bibliothèques nécessaires. Je définis également un certain nombre de fonction qui seront utiles pour la suite des calculs et des rendus."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import sys\n",
    "import os\n",
    "\n",
    "pi = np.pi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def centrifugal_lat(r,t,p):\n",
    "    # ----------------------------------------------\n",
    "    # Centrifugal latitude in Jovian magnetosphere\n",
    "    # coefficient from Phipps & Bagenal (2021)\n",
    "    #\n",
    "    # Input : \n",
    "    #   R [Rj]\n",
    "    #   theta (colatitude) [°]\n",
    "    #   phi (longitude in S3RH) [°]\n",
    "    # ----------------------------------------------\n",
    "    a = 1.66 # [°]\n",
    "    b = 0.131 # \n",
    "    c = 1.62\n",
    "    d = 7.76 # [°]\n",
    "    e = 249 # [°]\n",
    "    cent_eq = (a*np.tanh(b*r-c)+d) * (np.sin(np.radians(p-e)))\n",
    "    \n",
    "    jov_lat = 90 - t\n",
    "    cent_lat = jov_lat - cent_eq\n",
    "    \n",
    "    return cent_lat\n",
    "\n",
    "def extractfilelines(filename: str, titlemarker=\"#\"):\n",
    "    # -----------------------------------------------\n",
    "    # This function converts a text file (at location specified by filename)\n",
    "    # into a list of its lines in text format\n",
    "    # -----------------------------------------------\n",
    "    with open(filename, \"r\") as f:\n",
    "        # read title\n",
    "        line = f.readline()\n",
    "        while line.startswith(titlemarker):\n",
    "            line = f.readline()\n",
    "\n",
    "        lines = [line] + f.readlines()\n",
    "\n",
    "    return lines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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