{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Etape 11 : Mouvement d'un satellite géostationnaire (version élève)\n",
    "\n",
    "**Notions abordées**\n",
    "\n",
    "- Utilisation du langage LaTeX pour écrire des formules dans les cellules Markdown des notebooks\n",
    "\n",
    "**Référence pyspc**\n",
    "\n",
    "- [Mémo LaTeX pour les formules de physique](https://pyspc.readthedocs.io/fr/latest/06-memos/syntaxe-latex.html)\n",
    "\n",
    "**Consigne et mise en activité**\n",
    "\n",
    "- Faire une copie de ce notebook « Mouvement d'un satellite géostationnaire (version élève)» puis répondre aux questions posées.\n",
    "- Vérifier votre travail si besoin avec le notebook « Mouvement d'un satellite géostationnaire (version professeur)»\n",
    "\n",
    "-----------------------------------------"
   ]
  },
  {
   "attachments": {
    "orbites.png": {
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"
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----------------------\n",
    "\n",
    "\n",
    "**Document :**\n",
    "\n",
    "GOES-17 est le deuxième satellite de la génération actuelle de satellites météorologiques exploités par l'Administration nationale des océans et de l'atmosphère (NOAA). Il s'agit d'un satellite géostationnaire qui vise à fournir des images haute résolution visibles et infrarouges et des observations de la foudre sur plus de la moitié du globe. \n",
    "Le satellite a été lancé dans l'espace le 1er mars 2018 par un véhicule Atlas V (541) depuis la base aérienne de Cape Canaveral, en Floride. Il avait une masse de lancement de 5 192 kg (sa masse sèche (sans le carburant (ergols)) est de 2 857 kg). Le 12 mars, GOES-17 a rejoint GOES-16 (lancé en 2016) sur une orbite géosynchrone  à 35 786 km au-dessus de la Terre (soit un rayon orbital de 42 164 km). GOES-17 est devenu opérationnel le 12 février 2019 sous le nom de GOES-West. Sa durée de vie utile prévue est de 15 ans.\n",
    "\n",
    "L'orbite géosynchrone est une orbite géocentrique sur laquelle un satellite dit géostationnaire se déplace dans le même sens que la Terre (d'ouest en est) et dont la période orbitale est égale à la période de rotation sidérale de la Terre (soit environ 23 h 56 min 4 s). Un satellite géostationnaire reste donc toujours à la verticale d'un même lieu sur Terre.\n",
    "\n",
    "source : Wikipédia (texte remanié)\n",
    "\n",
    "\n",
    "\n",
    "![satellite.jpg](attachment:satellite.jpg)\n",
    "\n",
    "![orbites.png](attachment:orbites.png)\n"
   ]
  },
  {
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lEP8AFj/rrof/AKfdPr7NXp+JoAWvKv21vDHibx3+yz8QtB8GxJN4p1nw7e2emRu4QSSyQsu0MxAVmBIBOBnGSBXqtRTpuaoqU1ODhLZqx0YPFSw1eGIgk3CSdnqnZp2aVtO58heC/h9441P9ov4L+Jbr4c3+i+FfBfg+/wBK03SJrqzNxot4/wBiiSS6aN2VM28c6qsJkUBRkgvhfroTlgdu3156fjUYVdrZC89DjvX57f8ABY//AIKqeIP2LvFfh7wz8NfF3gW48VXSyf23oVzave6lpMZRGguG2tsiDBuEmwzblZVZQxHn4rEU8uw869Vtpavre9kfaZRl+Y8bZxhsnwUIRqyTjBXko2vKo+Z+++srvq3q76n334l8a6f4K0C+1bWL/T9J0nS4TcXl7fXCW9vaxjlpJJHIRFA5JJGK+SNa/bb+Jn7dFy+ifswaPZ6Z4NkkMF38Z/FNhIdFhGdjtodiwV9WlXL7Z2MdmGjwXmGVr4u/YWl+KX/Baf8AaT03UvjRqUPij4P/AA1kjvtR8PT2SR6Bqt6dxtoprQYiuXBAcmdZQipgKrOGr9ltPs7bT7WK3hhgt7e3jWKKKNQqRIoACqBwAMYAHTFPK80p4+h9YpRai9r7v/gHPx5wPiuE81eTY+tTqVoxTkqbclFvXlbcY+9azdujR4j+yZ/wT68Efsva1qXixZdZ8afFLxJGqeIPHnie4N7rurYOfLVz8lrbg/dtrZY4VCr8hIyfnP8Abb0nUvjT/wAFX/Bfwzvvjd8UPhD4Jb4Sal4mlHhLxOmhteajDrNlbRmRpEdGzDPLxt3fIMHAIP6Cb1A7V8J/tE/sqeF/2lf+C2Pg5fiD8M9B+IPgnT/ghqxjHiPw7Fquk22of29p+zHnxvEtx5TS4x8+xnxwTXofaS9fyf6nxelm/wCt0c78MPEGsfslf8FFfhD8LfBn7QHjr46+H/ibp+tXXizQvF2tWfiG+8LwWlqstrqsdzBCkltC8+LcpKfLlaYFBuRq/QqF8hfpX58/B/8AZ0tf+CS3/BQj+x/A3gW1tfgJ+0dNhG0XQEaTwH4mQcQPJBH5o028TJQSs0VvLGVUwxsAf0Gt4sBT7Dn1rRu8Vbz/AD/q3l5WJ15mn5fdb+r+hNXg/wDwUp/aC1z9k79hP4ufEvwxHp0niTwP4Zu9X05b+JpbZ5o0yvmKGUlcjoGHaveK8b/b8/aCh/ZT/Yz+J/xIuPDtr4ut/BOgXOry6LdTiCHU0iXJhZzHIFDAEZMbD29JKPW7WNY7qTZjHfAwB0GP0NfNf7XsMfwk/bU/Z7+J25bWx1TUL/4Ya7Ns+U2+rQrc2BkOO2p6daQpk8NfMP4zn6XhBWYqSW45Pr/n/Pt8/f8ABVbwjfeKv2A/iZc6Ssn9u+EdOj8ZaP5b7GN/o9xFqtsA3UZms4weuQxGDnFAH0OKKyPBPi+z+IHhTSdd02QT6brVlDf2sqnKyRSxrIjDtyrg1r0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV80/tgCTxr+2l+y34REKzWtr4k1rxveZPSPTtFubSPjvi51W2bnumeoFfS1fNviof27/wV08Eoz5j8MfCTXZ1Q/dEl9rGkoG+u2xcfj2zyAfSVFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHxj/wAHCH/KIf4sf9ddD/8AT7p9fZq9PxNfGX/Bwd/yiI+LGf8Anrof/p80+vsiSZkb/ZXJJz0oAlZtorhvj7+0V4L/AGY/h9deKvHniLTfDOh2eFNxdyYMznpFEgBeWVv4Y41ZmPQV8uftEf8ABXVLzx/cfDT9nfw23xu+JjZilexb/iQ6ET8vmXNyCFl2tjKoyp1UyowwcH4Kf8EiNU+MHxHtPiZ+1R4sm+LXjaJmkstBwY/D+gqScRRRDargADIVVViMt5p+c+XPMPaSdLCLna3f2Y+r6vyWvex91heD6eFoxx3EdT6vSkrxha9eov7lPTlT/nqcsf5eZ6PhPEP7Yv7RH/BVXUr7Q/2etC1L4TfCbc8Nz4+1v/Q9S1fAPy2jBZBAjkjlFklC4JeBsqO6/YC/4Jo/A34ffDrxZ4Sv/C+oX3xEurSWw8Yy+JWS51NftaOHlhfJUwzfMyTxkmTHztvV1H3Vo+kWegadb2FnZ29jY20awW8EMYjjiRRgKqAYVQOAAOK8q/ac05fAfiTwX8RrPbb3Wh6rbaNqrh9n2zS7+4jtpI5D/EI5pIZ1zkgxsBje2evC5ZCr7uLtUn0bWib6Jdntrd+e6OPMuNK1CLoZDF4WhpdRlec7O6dSpZNvZtJRhorQukzyDxb8PoP+CVf/AAT1t/DHwzmt11681Ky0ey1W/iEiy6nqF1FA19MhOCEDFwhJAESLyOateH9a8Vfsr/tRfDXw7dfFHxB8SvCvxQa9028XXZLae40zU4YPtEcsEkKJthkVJEMRBCkZBzXXf8FNfgvqXxu/ZR1Cx0nRT4ov9D1XTteGhCNZP7bitLqOSe0Ct8rNJAJQFPDMVHOa8L+FXwk+Fvxh/bF+FesfBb4UWvgzR/ALXur+Jtai8Fv4dHnPb+Rb6eTLBE00gd3dlXcqhQd3NfY5JhMJDLVDltFe0UrRjpaC5Lt6pc3w23d+p+U8VZtmOMzieMr1HOpPkldyleUpVJOo7LRvlaunsrbI++oV4x78U+K38th83A/hA+X/AD/jTFTCrj5cdasCvlYn1FrDJYvNB54IwR605RtUD2paKoArxf8A4KB+OvAPw0/Yw+KGvfFLw9eeLPh3o/h+4uvEWj2sUck2o2Sr+8iRXkjVmYDoZF+vSvaK8U/4KEaV8O9d/Yt+KVj8XdTvtF+F914du4/E+oWSytcWdiUxLIgjjkcsB0CRufagD2O24mK5JZRg5HX/AD1/EUmr6TBrumXNldRJNa3kTwTRsMrIjAqwP1BI/GltizXDFl28dM5x049O36/nYoA+b/8Agklql3N/wTt+E+kahsbUPBekP4MujHwrS6PPLpTtjtlrPODkjJ5OM19IV81/8E0Cmn+Dvi1oqE7dB+L/AIviQZ+4LnU5NQ247D/TOn0PevpSgAooooAKKKKACiignFABRRuoDbhxQAUUUUAFFFFABRRRQB4T+0P+3zov7OPxD/4Ry++HPxu8UT/ZI7z7b4V8BahrWn7XLAJ58CMnmDadyZyAQT1rhf8Ah7r4Z/6Iv+1N/wCGj1j/AONV9XCIA9W/Ol2/X86APlD/AIe6+Gf+iL/tTf8Aho9Y/wDjVH/D3Xwz/wBEX/am/wDDR6x/8ar6v2/X86Nv1/OgD5Q/4e6+Gf8Aoi/7U3/ho9Y/+NUf8PdfDP8A0Rf9qb/w0esf/Gq+r9v1/Ojb9fzoA+UP+Huvhn/oi/7U3/ho9Y/+NUf8PdfDP/RF/wBqb/w0esf/ABqvq/b9fzo2/X86APlD/h7r4Z/6Iv8AtTf+Gj1j/wCNV4Hpn/BTTQJv+Couu+Jh8Kv2jJLe2+FOnae1gPhhqp1CBpNZvnWU2/l71hk8tlEhG1mhdQSUIH6V7fr+dfMmmxtp/wDwWP11huhj1X4NaarEHi4Ntrl/tB94/tbY/wCux9aAMv8A4e6+Gf8Aoi/7U3/ho9Y/+NUf8PdfDP8A0Rf9qb/w0esf/Gq+r9v1/Ojb9fzoA+UP+Huvhn/oi/7U3/ho9Y/+NUf8PdfDP/RF/wBqb/w0esf/ABqvq/b9fzo2/X86APlD/h7r4Z/6Iv8AtTf+Gj1j/wCNUf8AD3Xwz/0Rf9qb/wANHrH/AMar6v2/X86Nv1/OgD5Q/wCHuvhn/oi/7U3/AIaPWP8A41R/w918M/8ARF/2pv8Aw0esf/Gq+r9v1/Ojb9fzoA+UP+Huvhn/AKIv+1N/4aPWP/jVH/D3Xwz/ANEX/am/8NHrH/xqvq/b9fzo2/X86APlD/h7r4Z/6Iv+1N/4aPWP/jVH/D3Xwz/0Rf8Aam/8NHrH/wAar6v2/X86Rhgd/wA6APlH/h7r4Z/6Iv8AtTf+Gj1j/wCNUf8AD3Xwz/0Rf9qb/wANHrH/AMar3D9pP9pLwj+yj8Krzxh4y1KTT9LtpI7aCKCF7q81S7lYJBZ2kCZknuZnISOJAWZj0wCR4fL/AMFVNP8AAV7pF18U/hD8Yvgx4Q168hsbPxZ4qsbBtGhlnbZAL17O7nk08SO0aBruOJQ8iqxQ5wR97YD5Z/4LT/8ABR7Q/jb/AME0viN4bs/hf+0FoNxfyaQyXuv/AA41PS9Pi8vV7KT97cSxiOPOzaCxwWZR3rlfjn+1D8Wv22/iFqWi/FLwb+0R8Lfg2kpjHhrwN8OdX1DVfEMW7JW8vRD5aqcDKJlMFlKEjfX1d/wcDOX/AOCRPxYz1Euif+n3T6+yniJY4yMkmuPF4RV2o1JPl6xXX1e/yPo8h4ieUwnUw1GEq8rctSS5nT7uEX7nM+kmm47xs9T4W/Z8/bS+D/7K/gOHw34B/Z1/aU8N6THy6W3we1jzbp8Y3zSGMvK+P4nJOOBgcV3kf/BWvwxGP+SMftS/X/hUWsf/ABuvrMLx3/Ol2/X866adOFOKjBWS2seLjMZiMVWlicVNznJ3lKTbbfdt6t+Z8mf8Pb/DII/4sz+1Nx/1SPWP/jVcb+0F/wAFGdH+NfwovvDun/CH9pS1kurmylme7+FmqwgW8V7BLPs3R5eTy0cKi/MzFQME5r7lK4Hf86YVD+v/AH1W1OpySUuzucc480eXofJr/wDBWrwyx+X4N/tSH3Hwj1gg/T91S/8AD23w1u/5I1+1N0xz8I9Y/wDjdfWYXj/69Lt+v51nZblW0Pkz/h7f4a/6Iz+1N/4aLWP/AI3Un/D3XwyP+aL/ALU3/ho9Y/8AjVfV+36/nRt+v50xnyh/w918M/8ARF/2pv8Aw0esf/GqP+Huvhkf80X/AGpv/DR6x/8AGq+r9v1/OmzfJExGc9uaAvbVnyl/w918M/8ARF/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    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Rappels mathématiques** :\n",
    "\n",
    "![cercle.jpg](attachment:cercle.jpg)\n",
    "\n",
    "Les coordonnées cartésiennes du point M décrivant un cercle de rayon R centré sur l'origine O du repère sont : \n",
    "\n",
    "$(x_M=R\\times \\cos{\\theta}\\;;\\;y_M=R\\times \\sin{\\theta})$\n",
    "\n",
    "Le vecteur unitaire $\\overrightarrow{u}=\\frac{\\overrightarrow{OM}}{OM}=\\frac{\\overrightarrow{OM}}{R}$ a pour coordonnées :\n",
    "$\\overrightarrow{u} \\begin{pmatrix} \\frac{x_M}{R}=\\cos{\\theta} \\\\ \\frac{y_M}{R}=\\sin{\\theta} \\end{pmatrix}$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Problématique : Comment la force d'attraction gravitationnelle exercée par la Terre sur le satellite GOES-17 influence la variation de son vecteur vitesse?**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "L'étude du mouvement du satellite GOES-17 aura lieu dans le référentiel géocentrique supposé galiléen auquel on associe un repère cartésien orthonormé fixe dont l'origine est au centre de la Terre."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. Quelle est la nature du mouvement du satellite GOES-17 ? (Répondre dans la cellule ci-dessous en double-cliquant dessus si besoin)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. En vous basant sur vos connaissances issues de la classe de seconde (en physique et en programmation), réfléchir aux différentes parties que comportera le programme permettant de répondre à la problématique. (Répondre dans la cellule ci-dessous en double-cliquant dessus si besoin)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# cellule 1 : import des bibliothèques\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3. A l'aide du document, déterminer les valeurs du rayon R de la trajectoire et la période de révolution T du satellite (lignes 3 et 4 de la cellule 2)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. Quelle valeur en radian prend l'angle $\\theta$ lorsqu'il est parcouru par le segment OM en une période T? (Répondre dans la cellule ci-dessous en double-cliquant dessus si besoin)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**note codage LaTeX** : double-cliquer sur cette cellule pour voir comment coder l'écriture des lettres grecques :\n",
    "\n",
    "- théta : $\\theta$\n",
    "- pi: $\\pi$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "5. En déduire l'expression de l'angle $\\theta$ en fonction du temps t et de la période T (ligne 8 de la cellule 2).\n",
    "\n",
    "6. En déduire les coordonnées x et y de la position du satellite en vous aidant des rappels mathématiques (lignes 10 et 11 de la cellule 2).\n",
    "\n",
    "**Note codage : la constante pi ainsi que les fonctions cos et sin sont fournies par la bibliothèque numpy** :\n",
    "- np.pi\n",
    "- np.cos()\n",
    "- np.sin()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# cellule 2 : coordonnées de la position du satellite\n",
    "\n",
    "R=      # rayon en m\n",
    "T=      # période de révolution en s\n",
    "\n",
    "t=np.arange(0,84164,500)\n",
    "\n",
    "theta=\n",
    "\n",
    "x=\n",
    "y="
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Afin de calculer les coordonnées du vecteur vitesse, **notées vx et vy** on crée une fonction **coordvit(u)** :\n",
    "\n",
    "   - **u** est une liste et représente une des coordonnées (x ou y) du vecteur position. \n",
    "   - **vu** est une liste et représente une des coordonnées (vx ou vy) du vecteur vitesse.\n",
    "   - **vui** est la valeur à l'instant $t_i$ de la coordonnée étudiée du vecteur vitesse. La liste **vu** contiendra ces valeurs **vui**.\n",
    "\n",
    "7. Compléter la ligne 6 de la cellule 3 permettant de calculer les valeurs **vui** prises par la coordonnée **vu** du vecteur vitesse à chaque instant du mouvement.\n",
    "\n",
    "**Note codage : la variable t est déclarée dans le programme principal et est donc globale. Elle est ainsi reconnue au sein de toute fonction...**\n",
    "\n",
    "**On rappelle que la $i^{ème}$ valeur d'une liste u est codée u[i]** \n",
    "\n",
    "8. Ecrire les deux lignes de code permettant de calculer les valeurs des coordonnées **vx** et **vy** (lignes 10 et 11 de la cellule 3). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# cellule 3 : coordonnées du vecteur vitesse du satellite\n",
    "\n",
    "def coordvit(t,u):\n",
    "    vu=[]\n",
    "    for i in range (len(u)-1):\n",
    "        vui=\n",
    "        vu.append(vui)\n",
    "    return(vu)\n",
    "\n",
    "vx=\n",
    "vy="
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On appelle vecteur variation de vitesse au temps $t_i$, le vecteur : $\\overrightarrow{\\Delta v}(t_i)=\\overrightarrow{v}(t_{i+1})-\\overrightarrow{v}(t_{i})$.\n",
    "\n",
    "On désire calculer les coordonnées notées dvx et dvy du vecteur $\\overrightarrow{\\Delta v}$\n",
    "\n",
    "9. En vous basant sur le modèle de la fonction précédente, créer une fonction **coordvarvit(vu)** permettant de calculer les valeurs d'une coordonnée notée **dvu** du vecteur variation de vitesse (lignes 3 à 8 de la cellule 4).\n",
    "\n",
    "10. Ecrire les deux lignes de code permettant de calculer les valeurs des coordonnées **dvx** et **dvy** (lignes 10 et 11 de la cellule 4). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# cellule 4 : coordonnées du vecteur variation de vitesse\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "dvx=\n",
    "dvy="
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "11. A l'aide du document, déterminer la valeur de la masse m du satellite après avoir consommé 1000 kg de carburant (ligne 4 de la cellule 5)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "12. Donner l'expression vectorielle de la force d'attraction gravitationnelle exercée par la Terre sur le satellite $\\overrightarrow{F_{T/S}}$ en fonction de G, $M_T$, m, R et $\\overrightarrow{u}$. (Répondre dans la cellule ci-dessous en double-cliquant dessus si besoin)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**note codage LaTeX** : double-cliquer sur cette cellule pour voir comment coder l'écriture :\n",
    "\n",
    "- d'un vecteur : $\\overrightarrow{vecteur}$ ou $\\vec{vecteur}$\n",
    "\n",
    "- d'une fraction : $\\frac{numérateur}{dénominateur}$\n",
    "\n",
    "- d'un indice : $x_{indice}$\n",
    "\n",
    "- d'un exposant : $y^{exposant}$\n",
    "\n",
    "- d'un signe x : $\\times$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "13. Déterminer les expressions des coordonnées Fx et Fy de la force d'attraction gravitationnelle exercée par la Terre sur le satellite en vous aidant de vos connaissances et des rappels mathématiques (lignes 7 et 8 de la cellule 5)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# cellule 5 : coordonnées du vecteur \n",
    "# force d'attraction gravitationnelle\n",
    "\n",
    "MT=5.972*10**24          # masse de la Terre en kg\n",
    "m=                       # masse du satellite en kg\n",
    "G=6.67408*10**(-11)      # constante de gravitation universelle \n",
    "                         # en m^3.kg^-1.s^-2\n",
    "\n",
    "Fx=\n",
    "Fy="
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "14. Compléter la ligne de code 4 permttant d'afficher la trajectoire du satellite.\n",
    "\n",
    "15. Compléter les lignes de code 5, 6 et 9 (et éventuellement 10) afin d'afficher les légendes des axes et le titre du graphique.\n",
    "\n",
    "16. Sur le modèle des lignes de code 13 et 14, compléter les lignes de code 15 et 16 permettant de tracer le vecteur force d'attraction gravitationnelle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# cellule 6 : Tracé du graphique permettant de visualiser \n",
    "# la trajectoire du satellite ainsi que  les \n",
    "# vecteurs variation de vitesse et force d'attraction gravitationnelle.\n",
    "\n",
    "plt.figure (figsize=(10,10))\n",
    "\n",
    "plt.xlabel()\n",
    "plt.ylabel()\n",
    "plt.xlim(-50000000,50000000)\n",
    "plt.ylim(-50000000,50000000)\n",
    "plt.title ()\n",
    "\n",
    "\n",
    "for k in range(len(dvx)):\n",
    "    plt.arrow(x[k],y[k],50000*dvx[k],50000*dvy[k],\n",
    "              facecolor='b',edgecolor='b',width=200000,\n",
    "              head_width=1000000,length_includes_head=True)\n",
    "    \n",
    "    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "17. Conclusion : Répondre à la problématique dans la cellule suivante en double-cliquant dessus si besoin."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  }
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