{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "112376f4",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-10-26T06:41:54.658534Z",
     "start_time": "2024-10-26T06:41:54.340059Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from astropy.io import fits\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.interpolate import InterpolatedUnivariateSpline"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c5ccdc7",
   "metadata": {},
   "source": [
    "作业13\n",
    "\n",
    "假设一颗大质量的恒星为40,000K的O型星，其热光度为太阳的10万倍，假设周围是中性星际气体(全部为氢原子，n~10cm-3)均匀分布,其在10000年内能电离的球形空间的半径为多大?\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "49446851",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-10-25T05:35:57.524215Z",
     "start_time": "2024-10-25T05:35:57.507891Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "电离的半径为: 10.76 km\n"
     ]
    }
   ],
   "source": [
    "L = 1e5 * 3.828 * 1e33 #erg/s \n",
    "t = 10000 * 365 * 24 * 3600 #s\n",
    "n = 10 #cm-3\n",
    "sigma = 6.3*1e-18 #cm2\n",
    "#电离的H，即光子打在H的截面上使其电离的范围，假如不考虑复合再发射的话\n",
    "\n",
    "#eff = (L / (4*np.pi*r**2)) * sigma #eff：电离率， L：恒星光度 r: 距离恒星的距离 sigma： 电离截面\n",
    "#V = (4/3)*np.pi*r**3 #体积\n",
    "\n",
    "#N = n * V = n * (4/3)*np.pi*r**3 #H总数 \n",
    "#N = eff * t = (L / (4*np.pi*r**2)) * sigma  * t \n",
    "#联立上面两个方程\n",
    "r = ((3/16)*(1/np.pi/np.pi)*(L*sigma*t/n))**(1/5) /1e5 # km\n",
    "print('电离的半径为: {:.2f} km'.format(r))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccf9dd6b",
   "metadata": {},
   "source": [
    "##重点是计算10000年内能产生多少E>13.6ev的光子"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1cbfda7e",
   "metadata": {},
   "source": [
    "请对银河系中的各种物质成分的质量比进行估算"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62515907",
   "metadata": {},
   "source": [
    "暗物质质量: ~1e12 Msun\n",
    "恒星质量: ~1e11 Msun\n",
    "星系介质质量: ~1e11Msun\n",
    "黑洞质量: ~1e6 Msun"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "883f48c1",
   "metadata": {},
   "source": [
    "作业15\n",
    "\n",
    "下载一个LAMOST或者SDSS观测到的星系光谱文件，画出相应光谱，测量至少一个Lick指数特征及其误差，并在图中标注"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "43a87af7",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-10-25T07:25:27.807212Z",
     "start_time": "2024-10-25T07:25:27.640495Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Flux')"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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      "text/plain": [
       "<Figure size 1800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "path = './spec-55859-F5902_sp01-001'\n",
    "hdu_list = fits.open(path+'.fits', cache=True)\n",
    "flux = hdu_list[1].data['FLUX'].reshape(3908,)\n",
    "wavelength = hdu_list[1].data['WAVELENGTH'].reshape(3908,)\n",
    "plt.figure(dpi=150,figsize=(12,4))\n",
    "plt.plot(wavelength,flux)\n",
    "plt.xlabel('Wavelength (A)',size=12)\n",
    "plt.ylabel('Flux',size=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "b40c6d78",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-10-25T07:50:59.802757Z",
     "start_time": "2024-10-25T07:50:59.628981Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Mg2')"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(dpi=150,figsize=(12,4))\n",
    "plt.plot(wavelength,flux)\n",
    "plt.xlabel('Wavelength (A)',size=12)\n",
    "plt.ylabel('Flux',size=12)\n",
    "plt.xlim([5160,5200])\n",
    "plt.ylim([40,110])\n",
    "plt.title('Mg2',size=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "1efbf35a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-10-26T06:46:21.363165Z",
     "start_time": "2024-10-26T06:46:21.346965Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mg2的lick indice为: 0.2463\n"
     ]
    }
   ],
   "source": [
    "#Mag = -2.5*log10[(1/(λ2-λ1))*∫_{λ2,λ1}(FIλ/Fcλ)dλ] #Worthey et al. 1994\n",
    "w = np.array([4895.125,4957.625,5154.125,5196.625,5301.125,5366.125])\n",
    "dw = 2.\n",
    "idxb = np.where(((wavelength > w[0] - dw) & (wavelength < w[1] + dw)))\n",
    "idxr = np.where(((wavelength > w[4] - dw) & (wavelength < w[5] + dw)))\n",
    "idxcen = np.where(((wavelength > w[2] - dw) & (wavelength < w[3] + dw)))\n",
    "\n",
    "wb = wavelength[idxb]\n",
    "wr = wavelength[idxr]\n",
    "wcen = wavelength[idxcen]\n",
    "\n",
    "fb = flux[idxb]\n",
    "fr = flux[idxr]\n",
    "fcen = flux[idxcen]  \n",
    "\n",
    "sb = InterpolatedUnivariateSpline(wb, fb)\n",
    "sr = InterpolatedUnivariateSpline(wr, fr)\n",
    "\n",
    "fp1 = sb.integral(w[0], w[1]) / (w[1] - w[0])\n",
    "fp2 = sr.integral(w[4], w[5]) / (w[5] - w[4])\n",
    "\n",
    "x1 = (w[0] + w[1])/2.\n",
    "x2 = (w[4] + w[5])/2.\n",
    "fc = fp1 + (fp2 - fp1)/ (x2 - x1) * (wcen - x1)\n",
    "            \n",
    "ffc = InterpolatedUnivariateSpline(wcen, fcen/fc/(w[3]-w[2]))\n",
    "\n",
    "R =  ffc.integral(w[2], w[3])\n",
    "Ia = (1 - R) * (w[3]-w[2])\n",
    "Im = -2.5 * np.log10(R)\n",
    "\n",
    "print('Mg2的lick indice为: {:.4f}'.format(Im))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03c63287",
   "metadata": {},
   "source": [
    "SDSS的光谱分辨率是~2000，某星系其连续谱单位波长的典型信噪比为5，该星系Ha线的等值宽度为50A，请问其Ha线流量的信噪比是多少？"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "b59170ee",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-10-25T07:14:37.346434Z",
     "start_time": "2024-10-25T07:14:37.339313Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ha的信噪比为: 15.24\n"
     ]
    }
   ],
   "source": [
    "lamada_Ha = 6563\n",
    "delta_lamada = lamada_Ha/2000\n",
    "EW = 50\n",
    "SN_Ha = EW/delta_lamada\n",
    "print('Ha的信噪比为: {:.2f}'.format(SN_Ha))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1b994818",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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