bi_elliptic.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "bi_elliptic.ipynb",
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "virLkJ2DFW3y",
        "outputId": "10402045-024a-4a84-d041-e96c4dca9937"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "mu=398600\n",
        "r=[150000, 170000, 190000, 210000, 230000, 250000, 270000, 290000, 310000, 333000, 350000, 370000, 390000, 410000, 430000, 450000, 470000, 490000]\n",
        "a0=7378\n",
        "vA_Iorbit=np.sqrt(mu/a0)\n",
        "print(a)\n",
        "print(vA_Iorbit)\n",
        "\n",
        "vA_T1orbit=[[0]*18]*3\n",
        "delta_v1=[[0]*18]*3\n",
        "a_1=[131378, 206378, 306378]\n",
        "b1=[[0]*18]*3\n",
        "b2=[[0]*18]*3\n",
        "\n",
        "\n",
        "for i in range(3):\n",
        "    for j in range(18):\n",
        "     b1[i][j]=(r[j]+a0)/2\n",
        "     vA_T1orbit[i][j]=np.sqrt(mu*(2/a0-1/b1[i][j]))\n",
        "     delta_v1[i][j]=np.abs(vA_T1orbit[i][j]-vA_Iorbit)\n",
        "\n",
        "\n",
        "print(vA_T1orbit)\n",
        "print(delta_v1)\n",
        "\n",
        "vB_T1orbit=[[0]*18]*3\n",
        "vB_T2orbit=[[0]*18]*3\n",
        "delta_v2=[[0]*18]*3\n",
        "\n",
        "\n",
        "for i in range(3):\n",
        "    for j in range(18):\n",
        "        b2[i][j]=(r_c[j]+a_1[i])/2\n",
        "        vB_T1orbit[i][j]=np.sqrt(mu*(2/r_c[j]-1/b1[i][j]))\n",
        "        vB_T2orbit[i][j]=np.sqrt(mu*(2/r_c[j]-1/b2[i][j]))\n",
        "        delta_v2[i][j]=np.abs(vB_T1orbit[i][j]-vB_T2orbit[i][j])\n",
        "\n",
        "print(vB_T1orbit)\n",
        "print(vB_T2orbit)\n",
        "print(delta_v2)\n",
        "\n",
        "vC_T2orbit=[[0]*18]*3\n",
        "vC_Forbit=[[0]*18]*3\n",
        "delta_v3=[[0]*18]*3\n",
        "delta_Vnet=[[0]*18]*3\n",
        "for i in range(3):\n",
        "    for j in range(18):\n",
        "\n",
        "        vC_T2orbit[i][j]=np.sqrt(mu*(2/a_1[i]-1/b2[i][j]))\n",
        "        vC_Forbit[i][j]=np.sqrt(mu/a_1[i])\n",
        "        delta_v3[i][j]=np.abs(vC_T2orbit[i][j]-vC_Forbit[i][j])\n",
        "        delta_Vnet[i][j]=delta_v1[i][j]+delta_v2[i][j]+delta_v3[i][j]\n",
        "\n",
        "print(vC_T2orbit)\n",
        "print(vC_Forbit)\n",
        "print(delta_v3)\n",
        "print(delta_Vnet)\n",
        "\n",
        "plt.figure(figsize=(10,5))\n",
        "plt.grid()\n",
        "plt.plot(r_c,vA_T1orbit[1],label='vA_T1orbit')\n",
        "\n",
        "plt.xlabel('radius (in KM)')\n",
        "plt.ylabel('Km/sec.')\n",
        "plt.legend(loc='best')\n",
        "plt.show()\n",
        "\n",
        "plt.figure(figsize=(10,5))\n",
        "plt.grid()\n",
        "plt.plot(r_c,vB_T1orbit[1],label='vB_T1orbit')\n",
        "plt.plot(r_c,vB_T2orbit[1],label='vB_T2orbit')\n",
        "plt.xlabel('radius (in KM)')\n",
        "plt.ylabel('Km/sec.')\n",
        "plt.legend(loc='best')\n",
        "plt.show()\n",
        "\n",
        "plt.figure(figsize=(10,5))\n",
        "plt.grid()\n",
        "plt.plot(r_c,delta_v1[1],label='delta v1')\n",
        "plt.plot(r_c,delta_v2[1],label= 'delta v2')\n",
        "plt.plot(r_c,delta_v3[1],label= 'delta v3')\n",
        "plt.plot(r_c,delta_Vnet[1],label= 'delta vnet')\n",
        "plt.legend(loc='best')\n",
        "plt.xlabel('radius (in KM)')\n",
        "plt.ylabel('Km/sec.')\n",
        "plt.legend(loc='best')\n",
        "plt.show()\n",
        "\n",
        "plt.figure(figsize=(10,5))\n",
        "plt.grid()\n",
        "plt.plot(r_c,vC_T2orbit[1],label='vC_T2orbit')\n",
        "plt.plot(r_c,vC_Forbit[1],label= 'vC_Forbit')\n",
        "plt.xlabel('radius (in KM)')\n",
        "plt.ylabel('Km/sec.')\n",
        "plt.legend(loc='best')\n",
        "plt.show()\n"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Final orbit radii [131378, 206378, 306378]\n",
            "Velocity at point A in Initial Orbit: 7.350202797216279\n",
            "[[10.148174774700852, 10.176276609635645, 10.19862793112305, 10.216830128710773, 10.231940461449504, 10.244685084916632, 10.255579260993734, 10.264998739243861, 10.273223982886352, 10.28148142557375, 10.286898026498191, 10.292642592412875, 10.297806174379819, 10.302472669471937, 10.306710562763866, 10.310576311000032, 10.314116872294534, 10.317371623161357], [10.148174774700852, 10.176276609635645, 10.19862793112305, 10.216830128710773, 10.231940461449504, 10.244685084916632, 10.255579260993734, 10.264998739243861, 10.273223982886352, 10.28148142557375, 10.286898026498191, 10.292642592412875, 10.297806174379819, 10.302472669471937, 10.306710562763866, 10.310576311000032, 10.314116872294534, 10.317371623161357], [10.148174774700852, 10.176276609635645, 10.19862793112305, 10.216830128710773, 10.231940461449504, 10.244685084916632, 10.255579260993734, 10.264998739243861, 10.273223982886352, 10.28148142557375, 10.286898026498191, 10.292642592412875, 10.297806174379819, 10.302472669471937, 10.306710562763866, 10.310576311000032, 10.314116872294534, 10.317371623161357]]\n",
            "[[2.797971977484573, 2.8260738124193656, 2.8484251339067717, 2.8666273314944943, 2.881737664233225, 2.8944822877003533, 2.905376463777455, 2.914795942027582, 2.9230211856700725, 2.9312786283574708, 2.936695229281912, 2.942439795196596, 2.9476033771635395, 2.952269872255658, 2.9565077655475873, 2.960373513783753, 2.9639140750782547, 2.9671688259450777], [2.797971977484573, 2.8260738124193656, 2.8484251339067717, 2.8666273314944943, 2.881737664233225, 2.8944822877003533, 2.905376463777455, 2.914795942027582, 2.9230211856700725, 2.9312786283574708, 2.936695229281912, 2.942439795196596, 2.9476033771635395, 2.952269872255658, 2.9565077655475873, 2.960373513783753, 2.9639140750782547, 2.9671688259450777], [2.797971977484573, 2.8260738124193656, 2.8484251339067717, 2.8666273314944943, 2.881737664233225, 2.8944822877003533, 2.905376463777455, 2.914795942027582, 2.9230211856700725, 2.9312786283574708, 2.936695229281912, 2.942439795196596, 2.9476033771635395, 2.952269872255658, 2.9565077655475873, 2.960373513783753, 2.9639140750782547, 2.9671688259450777]]\n",
            "[[0.49915488991828566, 0.4416504048581873, 0.39602882566224135, 0.3589512985220378, 0.32822285532423584, 0.30234114622605973, 0.2802431992133771, 0.26115572654531427, 0.2445027307926953, 0.22779810798163075, 0.21684781039858247, 0.20524085688330274, 0.19481336911429248, 0.1853942520862537, 0.17684397798156212, 0.16904762671679627, 0.16190968996550917, 0.1553501384401715], [0.49915488991828566, 0.4416504048581873, 0.39602882566224135, 0.3589512985220378, 0.32822285532423584, 0.30234114622605973, 0.2802431992133771, 0.26115572654531427, 0.2445027307926953, 0.22779810798163075, 0.21684781039858247, 0.20524085688330274, 0.19481336911429248, 0.1853942520862537, 0.17684397798156212, 0.16904762671679627, 0.16190968996550917, 0.1553501384401715], [0.49915488991828566, 0.4416504048581873, 0.39602882566224135, 0.3589512985220378, 0.32822285532423584, 0.30234114622605973, 0.2802431992133771, 0.26115572654531427, 0.2445027307926953, 0.22779810798163075, 0.21684781039858247, 0.20524085688330274, 0.19481336911429248, 0.1853942520862537, 0.17684397798156212, 0.16904762671679627, 0.16190968996550917, 0.1553501384401715]]\n",
            "[[1.888880370990756, 1.736649294948224, 1.6092716870011095, 1.5007865209046087, 1.4070613609421723, 1.325126852266275, 1.2527858904792384, 1.1883725932284017, 1.1305975027131232, 1.071054258433554, 1.0311014631257989, 0.9879087562526055, 0.9483258931001152, 0.9119045548758958, 0.8782695040415656, 0.8471039996617047, 0.8181386206708888, 0.7911425929288626], [1.888880370990756, 1.736649294948224, 1.6092716870011095, 1.5007865209046087, 1.4070613609421723, 1.325126852266275, 1.2527858904792384, 1.1883725932284017, 1.1305975027131232, 1.071054258433554, 1.0311014631257989, 0.9879087562526055, 0.9483258931001152, 0.9119045548758958, 0.8782695040415656, 0.8471039996617047, 0.8181386206708888, 0.7911425929288626], [1.888880370990756, 1.736649294948224, 1.6092716870011095, 1.5007865209046087, 1.4070613609421723, 1.325126852266275, 1.2527858904792384, 1.1883725932284017, 1.1305975027131232, 1.071054258433554, 1.0311014631257989, 0.9879087562526055, 0.9483258931001152, 0.9119045548758958, 0.8782695040415656, 0.8471039996617047, 0.8181386206708888, 0.7911425929288626]]\n",
            "[[1.3897254810724704, 1.2949988900900367, 1.2132428613388682, 1.141835222382571, 1.0788385056179364, 1.0227857060402152, 0.9725426912658612, 0.9272168666830874, 0.886094771920428, 0.8432561504519234, 0.8142536527272164, 0.7826678993693028, 0.7535125239858227, 0.7265103027896421, 0.7014255260600034, 0.6780563729449084, 0.6562289307053797, 0.635792454488691], [1.3897254810724704, 1.2949988900900367, 1.2132428613388682, 1.141835222382571, 1.0788385056179364, 1.0227857060402152, 0.9725426912658612, 0.9272168666830874, 0.886094771920428, 0.8432561504519234, 0.8142536527272164, 0.7826678993693028, 0.7535125239858227, 0.7265103027896421, 0.7014255260600034, 0.6780563729449084, 0.6562289307053797, 0.635792454488691], [1.3897254810724704, 1.2949988900900367, 1.2132428613388682, 1.141835222382571, 1.0788385056179364, 1.0227857060402152, 0.9725426912658612, 0.9272168666830874, 0.886094771920428, 0.8432561504519234, 0.8142536527272164, 0.7826678993693028, 0.7535125239858227, 0.7265103027896421, 0.7014255260600034, 0.6780563729449084, 0.6562289307053797, 0.635792454488691]]\n",
            "[[0.924779375962417, 0.9636148161460616, 0.9979881732050302, 1.0286808105998728, 1.0562903113692876, 1.081284273239491, 1.1040355065618104, 1.1248459485871587, 1.1439634237480112, 1.1641210141014482, 1.1779093541116843, 1.193056419891324, 1.2071594510997687, 1.2203254394868996, 1.2326468830590749, 1.2442042178216683, 1.2550677650331215, 1.2652993052214672], [0.924779375962417, 0.9636148161460616, 0.9979881732050302, 1.0286808105998728, 1.0562903113692876, 1.081284273239491, 1.1040355065618104, 1.1248459485871587, 1.1439634237480112, 1.1641210141014482, 1.1779093541116843, 1.193056419891324, 1.2071594510997687, 1.2203254394868996, 1.2326468830590749, 1.2442042178216683, 1.2550677650331215, 1.2652993052214672], [0.924779375962417, 0.9636148161460616, 0.9979881732050302, 1.0286808105998728, 1.0562903113692876, 1.081284273239491, 1.1040355065618104, 1.1248459485871587, 1.1439634237480112, 1.1641210141014482, 1.1779093541116843, 1.193056419891324, 1.2071594510997687, 1.2203254394868996, 1.2326468830590749, 1.2442042178216683, 1.2550677650331215, 1.2652993052214672]]\n",
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            "[[4.4035351315987885, 4.298074935367503, 4.204296871044772, 4.120398792281355, 4.044902907486036, 3.9766007695052403, 3.9145006974856686, 3.857783909127673, 3.8124623323343494, 3.7980387439066794, 3.78824118711665, 3.77754706545306, 3.767658303244968, 3.7584885655280376, 3.7499631256625032, 3.7420170555461674, 3.7345937218125935, 3.7276435366510734], [4.4035351315987885, 4.298074935367503, 4.204296871044772, 4.120398792281355, 4.044902907486036, 3.9766007695052403, 3.9145006974856686, 3.857783909127673, 3.8124623323343494, 3.7980387439066794, 3.78824118711665, 3.77754706545306, 3.767658303244968, 3.7584885655280376, 3.7499631256625032, 3.7420170555461674, 3.7345937218125935, 3.7276435366510734], [4.4035351315987885, 4.298074935367503, 4.204296871044772, 4.120398792281355, 4.044902907486036, 3.9766007695052403, 3.9145006974856686, 3.857783909127673, 3.8124623323343494, 3.7980387439066794, 3.78824118711665, 3.77754706545306, 3.767658303244968, 3.7584885655280376, 3.7499631256625032, 3.7420170555461674, 3.7345937218125935, 3.7276435366510734]]\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}