{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Mouvement d'un satellite géostationnaire (version professeur)" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ ":download:`Télécharger le pdf <./mouvement_satellite_geostationnaire_prof.pdf>`\n", "\n", ":download:`Télécharger le notebook <./mouvement_satellite_geostationnaire_prof-download.ipynb>`\n", "\n", ":download:`Lancer le notebook sur binder (lent) `" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**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", "![Satellite](images/satellite.jpg)\n", "\n", "![Orbite](images/orbites.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Rappels mathématiques** : \n", "\n", "![Cercles](images/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?**\n" ] }, { "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": [ "- codage de la trajectoire du satellite (cellule 2)\n", "- codage des coordonnées du vecteur vitesse (cellule 3)\n", "- codage des coordonnées du vecteur variation de vitesse (cellule 4)\n", "- codage des coordonnées du vecteur force d'attraction gravitationnelle (cellule 5)\n", "- affichage d'un graphique représentant la trajectoire, le vecteur variation de vitesse du satellite et le vecteur force d'attraction gravitationnelle (cellule 6)" ] }, { "cell_type": "code", "execution_count": 1, "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": 2, "metadata": {}, "outputs": [], "source": [ "# cellule 2 : coordonnées de la position du satellite\n", "\n", "R=42164000 # rayon en m\n", "T=84164 # période de révolution en s\n", "\n", "t=np.arange(0,84164,500) \n", "\n", "theta=2*np.pi/T*t\n", "\n", "x=R*np.cos(2*np.pi/T*t)\n", "y=R*np.sin(2*np.pi/T*t)" ] }, { "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": 3, "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=(u[i+1]-u[i])/(t[i+1]-t[i])\n", " vu.append(vui)\n", " return(vu)\n", "\n", "vx=coordvit(t,x)\n", "vy=coordvit(t,y)" ] }, { "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": 4, "metadata": {}, "outputs": [], "source": [ "# cellule 4 : coordonnées du vecteur variation de vitesse\n", "\n", "def coordvarvit(vu):\n", " dvu=[]\n", " for j in range (len(vu)-1):\n", " dvuj=vu[j+1]-vu[j]\n", " dvu.append(dvuj)\n", " return(dvu)\n", "\n", "dvx=coordvarvit(vx)\n", "dvy=coordvarvit(vy)" ] }, { "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": [ "$\\overrightarrow{F_{T/S}}=-G\\times\\frac{M_T\\times m}{R^2}\\times \\overrightarrow{u}$" ] }, { "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": 5, "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=4192 # 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=(G*MT*m/(R**2))*(-x/R)\n", "Fy=(G*MT*m/(R**2))*(-y/R)" ] }, { "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": 6, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "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", "plt.plot(x,y,'+')\n", "plt.xlabel('x(m)')\n", "plt.ylabel('y(m)')\n", "plt.xlim(-50000000,50000000)\n", "plt.ylim(-50000000,50000000)\n", "plt.title (\"Comparaison du vecteur variation de vitesse \"\n", " \"et de la force d'attraction gravitationnelle \\n\" \n", " \"Cas du mouvement d'un satellite géostationnaire \"\n", " \"autour de la Terre\")\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", " plt.arrow(x[k],y[k],10000*Fx[k],10000*Fy[k],\n", " facecolor='r',edgecolor='r',width=200000,\n", " head_width=1000000,length_includes_head=True)\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": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remarque : si la direction du vecteur force et celle du vecteur variation de vitesse sont trop différentes, c'est que les vecteurs vitesses moyennes sont trop différents des vecteurs vitesses instantanées. Il suffit de diminuer la durée entre deux positions successives du satellite afin de réduire cette différence. (cf. la définition mathématique de la dérivée)" ] }, { "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": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 4 }