{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Etape 11 : Correction : Mouvement d'un satellite géostationnaire (version professeur niveau avancé)" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ ":download:`Télécharger le pdf <./mouvement_satellite_geostationnaire_prof_niveau_avance.pdf>` |\n", ":download:`Télécharger le notebook <./mouvement_satellite_geostationnaire_prof_niveau_avance-download.ipynb>` |\n", ":download:`Lancer le notebook sur binder (lent) `\n" ] }, { "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.jpg](satellite.jpg)\n", "\n", "![orbites.png](orbites.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Rappels mathématiques** : \n", "\n", "![cercle.jpg](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 moyenne? Quel paramètre est-il important de prendre en compte lors de cette étude?**\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": [ "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", "# Fonction permettant de calculer les coordonnées\n", "# de la position du satellite \n", "\n", "def coordposition (t, T) :\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)\n", " \n", " return x,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": 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" ] }, { "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" ] }, { "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 5 et 6 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", "def coordforce (x,y,MT,m,R):\n", " Fx=(G*MT*m/(R**2))*(-x/R)\n", " Fy=(G*MT*m/(R**2))*(-y/R)\n", " return Fx,Fy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "14. Compléter la ligne de code 7 permttant d'afficher la trajectoire du satellite.\n", "\n", "15. Compléter les lignes de code 10, 11 afin d'afficher les légendes des axes.\n", "\n", "16. Sur le modèle des lignes de code 19, 20 et 21 , compléter les lignes de code 22, 23 et 24 permettant de tracer le vecteur force d'attraction gravitationnelle." ] }, { "cell_type": "code", "execution_count": 6, "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 \n", "# gravitationnelle en fonction de la durée Te entre \n", "# deux positions successives du satellite.\n", "\n", "def trace (x,y,dvx,dvy,Fx,Fy,Te,n) :\n", " plt.subplot(1,3,n)\n", " plt.plot(x,y,'k+')\n", " plt.plot(0,0,'go')\n", " plt.text(1000000,1000000,\"Terre\")\n", " plt.xlabel('x(m)')\n", " plt.ylabel('y(m)')\n", " plt.xlim(-50000000,50000000)\n", " plt.ylim(-50000000,50000000)\n", " plt.text(20000000,40000000,\"Te=\"+ str(Te) +\" jours \\n\")\n", "\n", " for k in range(len(dvx)):\n", " plt.arrow(x[k],y[k],30000*dvx[k],30000*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)" ] }, { "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 7)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# cellule 7 : Programme principal permettant d'afficher \n", "# 3 graphiques avec des durées entre deux positions successives \n", "# du satellite différentes\n", "\n", "R=42164000 # rayon en m\n", "T=84164 # période de révolution en s\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", "plt.figure (figsize=(15,5))\n", "\n", "\n", "# Graphique 1\n", "Te1=3000 # durée entre deux positions successives en jours\n", "t1=np.arange(0,T,Te1)\n", "x1,y1=coordposition (t1,T)\n", "vx1=coordvit(t1,x1)\n", "vy1=coordvit(t1,y1)\n", "dvx1=coordvarvit(vx1)\n", "dvy1=coordvarvit(vy1)\n", "Fx1,Fy1=coordforce(x1,y1,MT,m,R)\n", "trace(x1,y1,dvx1,dvy1,Fx1,Fy1,Te1,1)\n", "\n", "# Graphique 2\n", "Te2=2000 # durée entre deux positions successives en jours\n", "t2=np.arange(0,T,Te2)\n", "x2,y2=coordposition (t2,T)\n", "vx2=coordvit(t2,x2)\n", "vy2=coordvit(t2,y2)\n", "dvx2=coordvarvit(vx2)\n", "dvy2=coordvarvit(vy2)\n", "Fx2,Fy2=coordforce(x2,y2,MT,m,R)\n", "trace(x2,y2,dvx2,dvy2,Fx2,Fy2,Te2,2)\n", "\n", "# Graphique 3\n", "Te3=1000 # durée entre deux positions successives en jours\n", "t3=np.arange(0,T,Te3)\n", "x3,y3=coordposition (t3,T)\n", "vx3=coordvit(t3,x3)\n", "vy3=coordvit(t3,y3)\n", "dvx3=coordvarvit(vx3)\n", "dvy3=coordvarvit(vy3)\n", "Fx3,Fy3=coordforce(x3,y3,MT,m,R)\n", "trace(x3,y3,dvx3,dvy3,Fx3,Fy3,Te3,3)\n", "\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\",horizontalalignment='right')\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": [] } ], "metadata": { "celltoolbar": "Format de la Cellule Texte Brut", "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 }