{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"\n",
"# Timing of [HD 332231](https://ui.adsabs.harvard.edu/abs/2021arXiv211114968K/abstract)\n",
"Here we will be using tracit to study HD 332231, while accounting for TTVs\n",
"\n",
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Firstly we import tracit.\n",
"The two run commands are just to setup text rendering in the plots to LaTeX."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import tracit"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We'll create two structures: \n",
"1. For the parameters, priors, boundaries, etc.\n",
"2. For our data, and we can also specify the de-trending/noise model\n",
"\n",
"We'll call the first one 'par' and the second one 'dat'. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"par = tracit.par_struct(n_planets=1,n_phot=1,n_spec=1)\n",
"dat = tracit.dat_struct(n_phot=1,n_rvs=1,n_ls=0,n_sl=0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For the parameter structure we specified that we have 1 planet in the system, 1 photometric system, and 1 spectroscopic system (RVs, shadow, or slope).\n",
"\n",
"For the data we also define the number of photometric systems, while we further specify the type of spectroscopic measurements$-$`n_rvs` for RVs, `n_ls` for the shadow (lineshape), or `n_sl` for the subplanetary velocity (slope)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We then specify the filenames, and that we want to fit the photometry, radial velocities with the inclusion of the RM effect."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"dat['RV filename_1'] = 'rv_HD332231.txt'\n",
"dat['LC filename_1'] = 'lc_HD332231.txt'\n",
"dat['Fit RV_1'] = 1\n",
"dat['RM RV_1'] = 1\n",
"dat['Fit LC_1'] = 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then we'll initilize the data, i.e., load in the .txt files."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"tracit.ini_data(dat)\n",
"tracit.run_bus(par,dat)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we'll load in a (good) result from a previous run, so we don't have to set all the parameters. We first use `pandas` to load in the .csv file into a `DataFrame`, which we then pass on to the `update_pars` function along with our `par` structure to update it."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"rdf = pd.read_csv('results_from_old_fit.csv')\n",
"tracit.update_pars(rdf,par,best_fit=False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Before we run our MCMC, it's a good idea to check that our parameters/data look reasonable. We therefore plot the light curve and the radial velocity curve."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"## Photometric system 1/Photometer 1 ##:\n",
"\n",
"Reduced chi-squared for the light curve is:\n",
"\t 0.695\n",
"Number of data points: 1200\n",
"Number of fitting parameters: 0\n",
"#########################\n",
"## Spectroscopic system 1/Spectrograph\\ 1 ##:\n",
"\n",
"Reduced chi-squared for the radial velocity curve is:\n",
"\t 13.617\n",
"Number of data points: 42\n",
"Number of fitting parameters: 0\n",
"#########################\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/emil/anaconda3/lib/python3.7/site-packages/IPython/core/pylabtools.py:132: UserWarning: Creating legend with loc=\"best\" can be slow with large amounts of data.\n",
" fig.canvas.print_figure(bytes_io, **kw)\n"
]
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
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},
"output_type": "display_data"
},
{
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pre_inspect = 1\n",
"if pre_inspect:\n",
" tracit.run_exp(1)\n",
" tracit.plot_lightcurve(par,dat)\n",
" tracit.plot_orbit(par,dat)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There's obviously room for some improvement here. $R_{\\rm p}/R_\\star$ seems to be too small, $\\lambda$ is close to $90^\\circ$, and what is perhaps less obvious is that while the timing, $T_0$, for the transit in the TESS photometry is alright, there is a shift in timing for the HARPS-N data showing the RM effect. Let's hope our MCMC can fix that. \n",
"\n",
"We'll first list the parameters we want to fit, and as we here have a bit of an unusual parameter, 'Spec_1:T0_b', we'll run it through the `check_fps` function to create an entry for that parameter. 'Spec_1:T0_b' will let the mid-transit time for planet 'b' using the spectroscopic data from '1' float freely (as freely as the prior applied, at least)."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"par['FPs'] = ['T0_b','Rp_Rs_b','lam_b','Spec_1:T0_b']\n",
"tracit.check_fps(par)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then we'll specify the priors, and their boundaries (for the sake of convergence we'll be a bit restrictive):"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"par['lam_b']['Prior'] = 'uni'\n",
"par['lam_b']['Prior_vals'] = [0,2,-180,180]\n",
"par['Rp_Rs_b']['Prior'] = 'uni'\n",
"par['Rp_Rs_b']['Prior_vals'] = [0.069,0.001,0.05,0.1]\n",
"par['Spec_1:T0_b']['Prior'] = 'uni'\n",
"par['Spec_1:T0_b']['Prior_vals'] = [2458729.6819,0.05,2458729.6,2458729.8]\n",
"par['T0_b']['Prior'] = 'tgauss'\n",
"par['T0_b']['Prior_vals'] = [2458729.681,0.0005,2458729.6,2458729.8]\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"for the MCMC we can specify the number of CPUs we have at our disposal through *nproc*. We can also generate some instructive plots that allow us to inspect how the MCMC was performing; we can inspect how the walkers were walking using the *chains* argument, and we can see the 2D correlation plot through the *corner* argument.\n",
"\n",
"We will do 10,000 draws with 20 walkers."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Fitting T0_b.\n",
"Fitting Rp_Rs_b.\n",
"Fitting lam_b.\n",
"Fitting Spec_1:T0_b.\n",
"Fitting 4 parameters in total.\n",
"\n",
"Maximum number of draws is 5000.\n",
"Starting from 0 draws.\n",
"5000 draws remaining.\n",
"\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 50%|█████ | 2500/5000 [10:59<10:59, 3.79it/s]\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"MCMC converged after 2500 iterations.\n",
"Burn-in applied: 1250\n",
"Chains are thinned by: 7\n"
]
},
{
"data": {
"image/png": 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Herjn5i7c+trbVKxY8Bf6uRhj2LdvH+np6aSnp7N2w3LW7zzEzqMucuwVThWM8IrVcFStjaNq7XP/To87sNsqG58rG+PMxvg8/k0D/3aB/8vu5BeehAWu5O5f5v8iDPvjS/3ULQKxOxCb3V98CrElZDxujNeFcbv8BcXrxnhceE4cwn1gO5eE5VL30nI0rVuLRjckkpTUmauvvlovCXoBdItBqUIyxrB//342bdrEpk2bSNu0hdTtv7P9UDYHcgWpcCnhl9TAHnsZtphKp17nOXGI7I2LqBeVyYCbOtK7923FfkbwkSNH2LBhg3//e/om1m3L4LdDOeR4hMhwiLYLMQ4bFSLtVIyJoFJMBJUrRHNJxQrs37+fsWPHEhcXxz/+8Q+aN2+OMebUzefzFXj/5GOfz5dvd9DJ+9nZOWTl5JKV6yLb6Sbb6SLb6SHH5cHrM0TabURF+Hc/RTvsxEQ5iImMIDrqz7ueIiMjqVGjBgkJCdpq4wLoFoNSF8AYQ1paGrNnz2HBqvVs+f0E+7J8+KIrn/ryD6/YDq4AroDyp73em32M7A2LuMJ2mLtvaMNfnnmeuLi4EssfGxtL69atad269Xm/Zs+ePVx22WX4fD7q1q3LwIEDiYqKKsaUKtjoFoNSp9m5cydz5sxh+vwlLPntCK7YeCIvb4StXGyB6xuvB8/RDNxH9uI5vIcozwkuq2CnTlwlmiVczW233Urt2ufefWO1AwcO8MgjjzBz5kzS0tKoUaOG1ZFUMdMtBqXO4PDhw8ybN48ZcxawIH0fRyIuJbJ2I+xxvbDH/XF4oyfzMO6DO/Ac3ktY9iHiytm4qlo5kq6oQb3Gdalbtyd16tS54LkCqxhj+PTTT/nrX//KiRMnGDlypDa9K+O0MKiQ53a7OXHiRL7boUOHmLdwMT+t2cZudwyRtRvhuLQbtPxjd5AvN5PcnSnIgU00u6wc3ds1pVGjDtStW5dq1aoF7ZEmheFyubjtttuYPn06rVq1Yvz48SQkJFgdS1lMC4Mq1ZxOJ2+98y4Lf03nRI6bTKeHLJeXHLfB6TU4fWH4wsIRRzRhEVH+n44owiLL4ajWEmnc7tSRQsbjInd3Gp49qSRUttGjVQO69r+Fxo0bF8tJYsHA4XBQq1Yt3njjDR5++OGQHacqHJ1jUKXWrl276DXoEfbXvZnwCoW/kLzxeXFlbMW5cx21I3Po1rQu3bp0onXr1kRGRhZD4uCwefNmhg0bxpgxY2jYsKHVcZSFdI5BhZT58+dz19Nv42g9gPBwO54Th/BmHsa4cvC5cgI/s/G5csCdi0N8RNgMkeFCtN1GTISNpMur0L13Bzp0GESlSpXO/aalnMfj4Y033uDZZ58lIiKC7du3a2FQBdLCoEoVYwyvvfEm//ppK+WuvReAzDUzeKhNHM26J1O+fPk/3aKjo0NiPuBirF27lsGDB7Nq1SpuueUW3n33XT3qSJ2RFgZVamRlZXHPA4/wiyRQrtENGI8L95KP+OrVR2nfvr3V8YLa1KlT2bVrF59//jm33357mS+U6ux0jkGVClu3bqXnvcM50fAv2GJi8RzbT/Ut3/HtxHeCst1zMFiyZAlut5v27dvjdDrJzMykcuXK536hKjPONMegl/ZUQW/GjBm0GTiCrBaDscXEkrN9DdfzK4unTdGiUICsrCweffRR2rZtyzPPPANARESEFgV13iwpDCIyUkQ2iYhPRG7Js3yiiOwRkTWBm14jsAzz+Xz884WXGPD+XKLa3oPYwslc8TUvdanOhPffIiIiwuqIQWf27Nk0aNCAN998k2HDhjF9+nSrI6lSyKo5hp+AT4AJBTw32hgztoTzqCBz7Ngx+gx5iLXlWhCT2Nh/pNGyj5g59hmaN29udbygtGDBArp27UqdOnX4+eefufbaa62OpEopSwqDMWYpoBNgqkBpaWn0uv8pcpvchSOqPO7De4jf/SNff/0h1aoV/nyFULdr1y5q1apF+/bt+eCDD7jnnnu06Z26KME4x/BXEVknIjNFpIXVYVTJONnF9LXXxtBx2Ku42gzBFlWe7C3Lua38VhZ8N0WLwmkyMjK44447aNCgAXv37kVEuP/++7UoqIsWbIerPgPsM8Z4RaQ7ME1EEowxB09fUUSGAkMBLr/88hKOGRq8Xq+lLRC2bdvG3LlzmbFgGUu3H8VVqTaRlzciulUfjPGRufR/vDm0O/363mVZxmBkjOGjjz7i0UcfJTs7m2effZaqVataHUuFkKAqDMaY3XnuzxSRXUBDYG4B644DxoH/cNUSC1mKZWRkMHfuXKbPXcTCzQc47osg1uaiTrUYmtapSaOkRJKSkqhbty52e9Ff2vHk+8+ct5hFm/dzIroGkZc3JLxGL+w18nQxPX4Ax9ovmfv+y3pm7mlcLhe9evXihx9+oE2bNowfP5569epZHUuFmKAqDCJS82RxEJGmQDyQbmmoUuzEiRP8/PPPzJw9j9kpu9gvsUTFJ2OvciNhVaASYIBNwEa3l0mz9+D+bDK+w7u5NNJL/RqVaFYvnoYNk0hKSqJWrVp/mhc6eZWu7OzsfDf/lbqyOXz4MHMXLWN+2m4OhFUmsnZDHFV6QGUoF/gd3txMnDvWIQc207RmOW68thl3j/qEChUqoPJzOBxcddVVvP322wwbNoywsGDcG6xKO0tOcBOR54AhQFXgBJALtAK+BKIBL+AE/mmM+eFcv09PcPNzu90sW7aMWT/NYebKjfyWZSfi8oY4qtdBwv7YZeRz5ZC7az3uA9sJj62Bo0ptwmPj8q2Td133wZ24DmwnPHM/5ezg9oHLB26f4JUw/3V8wyMIs0cg9ojAdX0jkHAHYZEx2CvXynchd58rF+fu9fj2bSCxqp0erRvSpfN1NGrUSLt7FmDjxo08+OCDvP766yQnJ1sdR4WQM53gpmc+l2JZWVmsWLGCxb8sYfaqdNbvdxNWI4GImgmE2f/oDmq8Hpz7NuLelUKdCj5uaF6fbl0707BhQ7Zu3UpKSgq/pqSyevNeth7K4XhYORxV47FXqU14+Ys/Kcp43Dj3bsC9ez11Khq6NavH9V2uo3nz5jgcjov+/aHK4/Hw2muv8dxzzxEVFcXkyZPp2bOn1bFUCNHCUMoZY9i+fTtLlixh/i8rWLJ5H3tyI7DHXUNEjbqEOfIfieLav43cHWupEXaczo3i6d6lE9dee+15XTD92LFjrF+/npSUFFalbGDdzoNsP+rCE1ONsIgYjDsXn9uF8TgxbifheAkPA0eYwWETImxCRHgYUQ4bUY5wkq+sTrfOnWjbti3R0dHF9U8UUtasWcPgwYNZvXo1vXv35p133qF69epWx1IhRttulzK5ubmsWrWKX35ZwtxVaazbm4mzXA0iLquHvXIXaAx598C7j2bg3JlCuaw9dKhXnR7d2nHdda9c0NEqFStWpG3btrRt2/bUMmMM+/bt4/jx40RHR5+6RUZG6n7uYvDVV1+xZ88epk6dSu/eva2Oo8oY3WIIMhkZGQx4+ElW/O7BXr0uETWuISyyXL51fG4nrowtuPZuoJoti5ZXVaNjqyZ06NCBK6+80qLk6mItXrwYt9tNx44dcTqdZGVlcckll1gdS4WwIt1iEJEYINcY473oZOoUr9fLrYMeYm9ifypc9cfhop7j+3Hu2YAc2k69qhF0aHgV1w5oTcuW95e6C8+rPztx4gQjRozg3XffpV27dvz8889ERERoLyhlmfMqDOI/pKQP0A9ojv+IoQgROQhMB/5jjNlSbCnLiFGjx7CjxnU4wu1kb1lOhUPpNL+yCp1aJtNm2N3Ur19fj9oJMbNmzWLo0KHs2rWLhx9+mJdfftnqSEqd9xbDPGA28BSw3hjjAxCRS4BOwL9E5GtjzMfFEzP0rV69mjfmbKVc05txH9rF0EQbLz3/udWxVDGaP38+N9xwA/Xq1WPRokW0adPG6khKAec5xyAidmOM+2LXKS6lfY4hJyeH5Bv64Gw9FOP1UGXNRJbO+LxYzj5W1tuxYwe1a9fGGMP48ePp378/kZGR536hUkXsoi7Uc/ILX0QeOtc6qvCG/+MZshr4jzzJXj6VKe/9W4tCCNq3bx+9e/emYcOG7NmzBxFhyJAhWhRU0DlrYRCRRBH5JM+iewtY58MiT1WGzJw5ky93RRBevjK5u1N5uX8H6tSpY3UsVYSMMUycOJGEhASmT5/OiBEjuPTSS62OpdQZnWuOYTbQOs/jaiLytzyPLwH0HP0LdPDgQYa8/H/EtLsXnzObxs4U7hsy2epYqgi5XC569uzJjz/+yLXXXsuHH37INddcY3Uspc7qXIXheuBl/EcjAdjw9z4T/P3X9gA3FVu6EGaM4Z5hf8PWvA8AnuWfMfmb/+jFi0KMw+Ggbt269OrViwceeEBPBlSlwlkLgzEmhT+KAkCGMeaF4o1UNoyf8F9WOxoQGRFN1oZFTHp6iPbUDxHp6ek88MADvPnmmyQnJ/P2229bHUmpQinsny+TiiVFGbN161aemjyPyJqJeE4c4taaufTo0cPqWOoiud1uXn75ZZKTk1m/fj179uyxOpJSF+R8T3AT4zf2XOsUXbTQ5PF4+MsDTxDdYgAA0SlTGfvDFItTqYu1evVq7r33XtauXctf/vIX3n77bb0UqSq1zneLYZ6IPCwi+a6hKSIOEblORCYBA4o+Xuh5/uVRZMR3Q2zhZK76niljn9OOoyHgu+++Y//+/Xz99df873//06KgSrXzLQw34L94zmcisk9E0kRkG7AZuAsYa4yZWEwZQ8ayZct4f8k+7JVr4jqwg792iqdJkyZWx1IXaOHChcybNw+AESNGkJqayi233GJxKqUuXqG7q4qIHagC5BhjjorIFcaYbcWS7jyVhjOfMzMzadS9H962QzEeN9VTPuKXGZ9r76NS6Pjx4zz11FO89957dOjQgfnz51sdSakLUiTdVUXk2dMe24B7gCsuLl7o+3+PPYkr+Q5sQM7y//G/yWO0KJRCM2fO5P7772f37t08+uijvPTSS1ZHUqrIFbbtdlae+3agPaCd3s7h22+/Y+bBS4iuE0vujrWMHtKD+Ph4q2OpQpo/fz49evQgISGBX375hVatWlkdSalicVEX6gm0415e0KZISQrmXUkZGRk0vv0hItoNwpebSZP9P/D1JxP0RLZS4uQlVa+44gqMMfz3v/+lX79+eq0EFRIuqoneWcQCv1/k7whZbrebfg8Mx97iLgDMyilMeGeMFoVSYu/evdx66600atToVNO7e++9V4uCCnmFnWNIwd8KA/xtMeKBQyeXG2MaFm280iszM5Ne/e9jw6WdsTsiyUqdz5TnH9JLNZYCxhgmTJjAY489htPp5MUXX9Smd6pMKewcg/ZFOg+///471981lMMN7sQeXRHnvs3cneigc+fOVkdT5+ByuejRowdz5syhQ4cO/N///R9XX3211bGUKlGFKgzGmB3FFSRUbNq0iW73Po635QBs9khytq7k3nqGV17Qo1eCmTEGEcHhcNCgQQPuuOMO7rvvPm16p8ok/a++CC1ZsoT2947A12YIYfZIMlNm81yXOF598TmdVwhiqamptG/fnl9//RWAsWPHcv/992tRUGWW/pdfRL755lt6Pj2OyHaDkDAbWcu+4L8PdObB+4daHU2dgcvl4oUXXqBx48akp6eTkZFhdSSlgkJh5xhUAd55732en7GZci1ux/i8uBZPYvob/6BFixZWR1NnsGLFCgYPHkxKSgp9+vThrbfe0rbnSgVoYbgIxhj+PuJZJv/mIKZBZ3yuXMKXT2LhpNd1wjLITZ8+nUOHDvHtt99y8803Wx1HqaByUSe4BQsrTnBzuVzcPfQhfiaRiOpX4806SpW0L5j12TjtrBmk5s+fj9frpXPnzrhcLnJycqhYsaLVsZSyTHGd4FYmHT9+nK639WdxVCsiql+N+/Ae6u+ZwaLvPtGiEISOHTvGAw88QKdOnU71NnI4HFoUlDoDLQyFtHfvXtrc3J/frrqV8IqX4ty7gevDUpjx+SRiYmKsjqdOM23aNBITE/nwww95/PHHmT59utWRlAp6WhgKYcOGDbS+4wGONx2ILaoC2ZuXcX+dXCa8/xbh4TpdE2zmzYYnjeoAABODSURBVJtHz549iY2NZcmSJYwePVoviqTUedDCcJ68Xi+33P8PaHcfYfYIMtf8wKs3XsFzI5/WcxSCiDGGrVu3AtCxY0cmTpzIqlWr9AgxpQrBksIgIiNFZJOI+ETkljzLq4jIDBHZLCLpInKDFfkK8vnnX3CsdkdEwshe9S0f/bUHg+8dZHUslcfu3bu5+eabady48ammdwMGDMDhcFgdTalSxaothp/wXy7059OWvwr8aoypA9wOTBIRy3fc+3w+nh/3ORE16uLNOsKQVjXo3r271bFUgM/nY9y4cSQmJjJnzhyef/55qlevbnUspUotS3aMG2OWAgXtgrkLqBNYJ1VE1gLdgaklGvA0X331NUcva0UkkLt2Bo9/846VcVQeTqeT7t27M2/ePDp16sSHH37IVVddZXUspUq1oJljEJHKgN0Ysy/P4u3A5WdYf6iIrBSRlQcOHCi2XMYYnnv/EyJrJuLNOc6ANldq6+wgcPL8m4iICBo1asS4ceOYM2eOFgWlikDQFIbCMsaMM8Y0M8Y0K85WBtOmTeNgteYA5K6Zzj8e+2uxvZc6PykpKbRt25bVq1cD8MYbb3DffffpQQBKFZGgKQzGmEOAW0Ti8iyOB3Zak8j/V+nItyYSWbsh3txM7mpWQ/vpWMjpdPLPf/6TJk2asGXLFopzS1GpsixoCkPA/4CHAEQkEUgGfrAqzKxZs9h3STIAOWtn8NTjw62KUuYtW7aMpk2b8sILL9CnTx/S0tLo1q2b1bGUCkmWTD6LyHPAEKAq0EBE3gFaAU8Bk0VkM+AFBhljMq3IaIxh5NjxRCUPxOfM5vakKsTFxZ37hapYzJo1i2PHjjFt2jRuvPFGq+MoFdK0id4ZzJ07lz7vLSD66hZkLv+SNZNfoGbNmkX6Hurs5s6di8/no0uXLrhcLnJzc6lQoYLVsZQKGdpEr5CeGfMfoq9ugc+Vy83XlNOiUIKOHj3KfffdR+fOnXnllVcAf9M7LQpKlQwtDAVYuHAhWxz+6ylkrfuBZ//xN4sTlR3fffcdiYmJTJgwgb///e/a9E4pC2jntwI8M/o9ohP643M76R5vJz4+3upIZcK8efPo1asXSUlJfPvttzRr9qctXKVUCdAthtMsXbqUNPGfU5e17keee1K3FoqTMYYtW7YA/qZ3kydPZuXKlVoUlLKQFobTPPPvd4iu1w7jcdO5hk8v0VmMdu3axU033ZSv6d3dd9+tTe+UspgWhjxWrVrFGteliISRmfITLzylWwvFwefz8f7775OYmMj8+fN56aWXtOmdUkFE5xjyGPmvt4hJ6I3xemhfJZd69epZHSnkOJ1OunXrxoIFC+jSpQvjxo3jiiuusDqWUioPLQwB69atY3lmJcqF2chc9yMv/OtRqyOFFGMMIkJERARNmzZlwIABDBw4UPsbKRWEdFdSwMhRbxCTeB3G56VF+aMkJSVZHSlkrF27ltatW7Nq1SoAxowZw6BBg7QoKBWktDAA6enpLDocg9jCyUpbwEv/0A6qRcHpdDJy5EiaNWvGtm3bOHTokNWRlFLnQXclAc+Oep1yDW7EGB+NI/bTpEkTqyOVekuWLGHw4MGkp6dzzz338Prrr1O5cmWrYymlzkOZLwybN29m7l4b5ePsZKX/zMtPP2x1pJDw008/kZWVxcyZM7nhhqC5dLdS6jyU+SZ6fQc/yOLY65FwB/HpnzD/20+LOF3ZMXv2bIwxdO3aFZfLhdPppHz58lbHUkqdgTbRK8C2bduYtcODhDvI3vgLLz0xzOpIpdKRI0cYPHgwXbt2ZdSoUYC/6Z0WBaVKpzJdGF741+vENPTv5qjj3kq7du0sTlT6fPXVVyQkJDBp0iSeeuopbXqnVAgos3MMu3bt4rtNWZRvEUn2luW89Nj9VkcqdebOnUvv3r1JTk5mxowZNG7c2OpISqkiUGa3GF781+vENOoOQHxmGh07drQ2UClhjGHTpk0AdOrUiU8++YTly5drUVAqhJTJwuD1elm2JhXXwR3kbFvNi8OH6MlW52Hnzp306NGDpk2bnmp617dvX+x2u9XRlFJFqEwWBpvNxq8//8BbPWvTNXoH119/vdWRgprP5+Pdd98lMTGRhQsX8uqrr+r1r5UKYWX+cFV1dk6nk65du7Jw4UKuv/56/vOf/+iFi5QKEWc6XLXMTj6rs8vb9K5ly5YMHjyYe+65R3e5KVUGlMldSersfv31V1q2bHmq6d3o0aMZMGCAFgWlyggtDOqU3NxcRowYQfPmzdm5cyeHDx+2OpJSygK6K0kBsHjxYgYPHszGjRsZNGgQY8aMITY21upYSikLaGFQAMybNw+n08mPP/5I165drY6jlLKQHpVUhs2aNQsR4frrr8ftduN0OilXrpzVsZRSJUSb6KlTDh8+zMCBA7nhhhv497//DYDdbteioJQCtDCUOVOnTqV+/fp88sknPP3000ybNs3qSEqpIKNzDGXI3LlzueOOO2jSpAmzZs0iOTnZ6khKqSCkWwwhzhjDhg0bAH/Tu88++4xly5ZpUVBKnZEWhhC2fft2unXrRrNmzdi9ezciQp8+fQgP1w1FpdSZaWEIQV6vl7feeosGDRqwZMkSRo8eTY0aNayOpZQqJYLuT0cRmQ/UBo4FFn1ljHnBukSli9Pp5LrrruOXX36he/fufPDBB1x++eVWx1JKlSJBVxgChhtjvrE6RGmSt+ndtddey4MPPki/fv20v5FSqtB0V1IIWL16Nc2bN+fkSX6jRo2if//+WhSUUhckWAvDKBFJEZGpInJNQSuIyFARWSkiKw8cOFDS+YJCTk4OTz75JC1atGDv3r0cPXrU6khKqRAQjIXhHmNMPaAhMAP4UURsp69kjBlnjGlmjGlWtWrVEg9ptZ9//plGjRrxr3/9i4EDB5KWlkaXLl2sjqWUCgFBN8dgjNkZ+GmACSIyGv9k9G+WBgsyP//8Mx6Ph9mzZ9O5c2er4yilQkhQNdETkUignDHmYOBxD2AicJkxxn2m15WVJnozZszAZrPRrVs33G43LpeLmJgYq2MppUqp0nJpzwrATBFxAD7gCHDT2YpCWXDw4EGGDx/Oxx9/TNeuXenWrRt2ux273W51NKVUCAqqwmCM2Q80tTpHsDDG8Pnnn/Pwww9z5MgRRo4cydNPP211LKVUiAuqwqDymzt3Ln369KFp06bMnj2bhg0bWh1JKVUGBONRSWWaMYa0tDQArrvuOqZMmcLSpUu1KCilSowWhiDy22+/0aVLF1q0aMGePXsQEe68805teqeUKlFaGIKA1+vljTfeoEGDBqxYsYLXX3+duLg4q2Mppcoo/VPUYk6nk44dO7J06VJuvPFGPvjgA2rWrGl1LKVUGaZbDBY5ef5IREQEHTt25JNPPuH777/XoqCUspwWBgusWLGCJk2asGLFCgBeffVV+vbtq03vlFJBQQtDCcrOzuaJJ56gVatWHDhwgMzMTKsjKaXUn2hhKCELFiygUaNGvPbaawwZMoTU1FQ6depkdSyllPoTnXwuIYsXL8YYw9y5c7UgKKWCWlA10btQwdpE7/vvvyc8PJzu3bvjdrtxu91ER0dbHUsppYAzN9HTXUnF4MCBA/Tt25ebb76ZsWPHAmC327UoKKVKBS0MRcgYw6effkr9+vWZOnUqzz//PN9//73VsZRSqlB0jqEIzZ07l379+tGyZUvGjx9PYmKi1ZGUUqrQdIvhIvl8PlJTUwF/07upU6eyePFiLQpKqVJLC8NF2LJlC507d6ZFixbs3r0bEaF3797YbH+6RLVSSpUaWhgugMfjYcyYMTRs2JDVq1fz5ptvctlll1kdSymlioTOMRSS0+mkffv2LF++nJtvvpn33ntPi4JSKqToFsN58vl8gL/pXefOnZkyZQrffPONFgWlVMjRwnAeli5dSnJyMsuWLQPglVde4c4779Smd0qpkKSF4SyysrL429/+Rps2bThy5Ag5OTlWR1JKqWKnheEM5s6dS1JSEm+88QYPPvggqampdOzY0epYSilV7HTy+QyWLVtGeHg4CxYsoH379lbHUUqpEqNN9PL47rvvCA8Pp0ePHrjdbjweD1FRUUWQUCmlgo820TuL/fv306dPH3r16sVbb70F+JveaVFQSpVFZbowGGP4+OOPqV+/Pl9//TUvvviiNr1TSpV5ZXqOYc6cOdx99920atWK8ePHk5CQYHUkpZSyXJkuDJ07d+bLL7+kV69e2t9IKaUCynRhEBFuu+02q2MopVRQKdNzDEoppf5MC4NSSql8tDAopZTKJ+gKg4hcJSKLRGSTiPwqIn86+UIppVTxCbrCAHwATDLG1AX+Dnwi2sZUKaVKTFAVBhGpCrQCJgIYY34CBGhqYSyllCpTgqowAJcD+4wx7jzLtgeW5yMiQ0VkpYisPHDgQEnlU0qpkBdsheG8GWPGGWOaGWOaVa1a1eo4SikVMoLtBLedQJyI2PNsNcQHlp/RqlWrDorIDqAKcLB4Iwa1sjx+HXvZVZbHf7Fjr13QwqAqDMaYAyKyHBgIfCgiXfHPMaw6x+uqAojIyoJayJYVZXn8OvayOXYo2+MvrrEHVWEIeACYJCJPANlAPxMKF41QSqlSIugKgzFmM9DG6hxKKVVWldrJ5zMYZ3UAi5Xl8evYy66yPP5iGXtIXNpTKaVU0Qm1LQallFIXSQuDUkqpfEKiMJSFxnsiMl9EtonImsDt2cDyKiIyQ0Q2i0i6iNyQ5zVRIvKxiGwJPD/AuhGcPxEZGfgsfSJyS57lFzRWEQkTkbEisjVwe7Kkx3S+zjL2iSKyJ8/n/0Ge50Jl7LEiMi0w/rUi8qOIXB14rix89mcbf8l+/saYUn8DfgLuC9zvCmwkMH8SKjdgPnBLAcs/BF4O3E8EfgdiAo+fBj4O3K8B7AMut3os5zHWVsCVp4/5QscK9Av8rnCgPLABaGv1OAs59onAo2d4TaiMvRLQJc/jR4D5ZeizP9v4S/TzL/VbDNp4j7uAdwCMManAWqB7nufeDTy3F/ge+IsFGQvFGLPUGPNbAU9d6FjvAv5jjPEYY04AkwPLgs5Zxn42oTL2o8aY2XkW/YK/8wGUjc/+bOM/myIff6kvDBSi8V4IGCUiKSIyVUSuEZHKgN0Ysy/POtv5Y+y1gR1neK5Uucixhsq/w19FZJ2IzBSRFnmWh+rYHwW+LcOf/aPAt3kel9jnH3QnuKkzuscYs1NEBBgE/Ag0sTiTKjnP4P8DyCsi3YFpIpJgjAnJHkEi8k/8u9SGAlEWxylxp40fSvjzD4UthlON9/Isi+ccjfdKG2PMzsBPY4yZAJQDKgJuEYnLs2o8f4x9J/mbZOV9rlQxxhziwsda6v8djDG7jTHewP2ZwC6gYeDpkBq7iDwD9AC6G2Oyy9pnf/r4wYLP3+oJlyKatJlD/snnzYTQ5DMQCVTJ87gHsB+wA+PJPym3HygXeDyS/JNSGUBtq8dTiHHPJ/8E7AWNFbibP0/AtbN6fIUce80895sCh4C4UBs78E9gGVDxtOVl4rM/y/hL9PO3/B+iiP4x6+CfqNkErAFaWJ2piMdXDX+H2RT8k27zT44x8NwP+IvhBuDGPK+LBj4FtgJbgHutHst5jvc5YDfgxN9SeDdQ80LHCtiAt4DfArcRVo/xAsa+LPD5rwncvyEEx54ImMAY1gRuKy/mv/MQGn+Jfv7aEkMppVQ+oTDHoJRSqghpYVBKKZWPFgallFL5aGFQSimVjxYGpZRS+WhhUEoplY8WBqWUUvloYVAhT0SeFpHUQAOyNSLSUkQqicgwq7Odi4jEi8h6q3OoskULgwppItIauAloYoxpCHTB32emEhD0heFiiJ/+P64KTf+jUaEuDjhojHECGGMOGn/P+lHAVYEtiNEAItJfRJYHlv1HRGyBv9g3iMgngSuHTRWR6NPfJLBeuoh8GNg6+TFwZa18f/GLyOMi8lye3zsxcMWuT0Ski4gsDlyFK29b5fCC3v8seTeKyGRgPVCr+P5pVajSwqBC3Y9ArcCX73si0iGw/ElgqzEm2RjzhIjUB+7Ef3WrZMCL/+pXANcA7xlj6gPHOfOWRh3gXWNMInAU6H2ObFcDY4B6gVtfoB3wODAiz3p/ev9z5K0TWD/RGJO3F79S50ULgwppxphM/N0ohwIHgP+JyMACVu0cWG+FiKwJPL4y8NwuY8ziwP2P8X95F2SbMWZN4P4qzn31rW3GmBRjjA9IBeYYf/OylNNeW9D7ny3vDmPM0nO8t1JnpBfqUSHP+PvYzwfmi0gKMCDwOC8BJhljnsq3UCQef8fLfL/yDG/lzHPfi/8CMx7y/wEWeYb1fXke+8j//2ZB73+2vFlnyKfUedEtBhXSApdArZNnUTL+Sx2ewN+f/qQ5wO0iUi3wuktE5OQFTi4PTGKDf3fPokJE+B2oJiKVRSQC/0R4YRX0/mfLq9RF0cKgQl05YJKIpInIOiABeM74rwq2WETWi8hoY0wa/ssn/hhY7yf8E9cAG4H/JyLpQCzw/vm+ufFfi/wFYHngd264gDH86f3PkVepi6LXY1DqLAK7ZqYZYxpYHEWpEqNbDEoppfLRLQallFL56BaDUkqpfLQwKKWUykcLg1JKqXy0MCillMpHC4NSSql8tDAopZTKRwuDUkqpfP4/5R9h+vQlKGIAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mc = 1\n",
"if mc:\n",
" ndraws = 5000\n",
" nwalkers = 20\n",
" nproc = 1\n",
" ndf = tracit.mcmc(par,dat,ndraws,nwalkers,nproc=nproc,corner=True,chains=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Even though we set the number of draws to 10,000, the routine stopped earlier because the MCMC had converged.\n",
"After this we might want to take a look at the resulting parameters, which are both saved to 'results.csv', but also returned in the dataframe `ndf`."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's print our new `DataFrame` with the results."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Parameter P_b Spec_1:T0_b \\\n",
"0 Label $P \\rm _b \\ (days)$ $T \\rm _{0,b} \\ (BJD) Spec_1$ \n",
"1 Median 18.71205 2458729.695 \n",
"2 Lower 1.00E-05 0.002 \n",
"3 Upper 1.00E-05 0.002 \n",
"4 Best-fit 18.712051 2458729.694 \n",
"5 Mode 18.71205 2458729.695 \n",
"6 Prior uni uni \n",
"7 Location 18.712062 2458729.681 \n",
"8 Width 0.00023 0.000275 \n",
"9 Lower 18.703 2458729.65 \n",
"10 Upper 18.72 2458729.73 \n",
"11 Rhat 1.00336135317264 1.00326246490288 \n",
"\n",
" T0_b Rp_Rs_b \\\n",
"0 $T \\rm _{0,b} \\ (BJD)$ $(R_\\mathrm{p}/R_\\star)\\rm _b$ \n",
"1 2458729.6814 0.064 \n",
"2 0.0004 0.0003 \n",
"3 0.0004 0.0003 \n",
"4 2458729.6819 0.0694 \n",
"5 2458729.6814 0.069 \n",
"6 uni uni \n",
"7 2458729.681 0.06976 \n",
"8 0.000275 0.05 \n",
"9 2458729.65 0 \n",
"10 2458729.73 0.1 \n",
"11 1.00429964195603 1.0039305961874 \n",
"\n",
" a_Rs_b K_b lam_b \\\n",
"0 $(a/R_\\star) \\rm _b$ $K \\rm _b\\ (m/s)$ $\\lambda \\rm _b \\ (^\\circ)$ \n",
"1 24.3 17.5 90 \n",
"2 0.3 1.2 12 \n",
"3 0.4 1.1 12 \n",
"4 24.7 17.4 11 \n",
"5 24.4 17.6 -1 \n",
"6 uni uni uni \n",
"7 24.21 17.3 1 \n",
"8 1 1.2 10 \n",
"9 19 10 -180 \n",
"10 28 30 180 \n",
"11 1.00399961064831 1.00353445827666 1.00321572158624 \n",
"\n",
" cosi_b ecosw_b ... inc_b \\\n",
"0 $\\cos i \\rm _b$ $\\sqrt{e} \\ \\cos \\omega_b$ ... $i \\rm _b \\ (^\\circ)$ \n",
"1 0.006 0.11 ... 89.67 \n",
"2 0.005 0.09 ... 0.15 \n",
"3 0.003 0.12 ... 0.29 \n",
"4 0.005 0.12 ... 89.71 \n",
"5 0.004 0.16 ... 89.79 \n",
"6 uni uni ... Derived \n",
"7 0.01 0 ... Derived \n",
"8 0.01 0.0001 ... Derived \n",
"9 0 -1 ... Derived \n",
"10 1 1 ... Derived \n",
"11 1.00532151468678 1.00366428157889 ... Derived \n",
"\n",
" b_b T41_b T21_b \\\n",
"0 $b \\rm _b$ $T \\rm _{41,b} (hours)$ $T \\rm _{21,b} (hours)$ \n",
"1 0.14 6.141 0.404 \n",
"2 0.12 0.017 0.01 \n",
"3 0.06 0.019 0.008 \n",
"4 0.13 6.128 0.404 \n",
"5 0.14 6.138 0.397 \n",
"6 Derived Derived Derived \n",
"7 Derived Derived Derived \n",
"8 Derived Derived Derived \n",
"9 Derived Derived Derived \n",
"10 Derived Derived Derived \n",
"11 Derived Derived Derived \n",
"\n",
" RV1_q1 RV1_q2 LC3_q1 LC3_q2 \\\n",
"0 $q_1: \\ \\rm RV1$ $q_2: \\ \\rm RV1$ $q_1: \\ \\rm LC3$ $q_2: \\ \\rm LC3$ \n",
"1 0.55 0.23 0.258 0.294 \n",
"2 0.04 0.04 0.014 0.014 \n",
"3 0.04 0.04 0.014 0.014 \n",
"4 0.49 0.18 0.237 0.273 \n",
"5 0.55 0.24 0.258 0.294 \n",
"6 Derived Derived Derived Derived \n",
"7 Derived Derived Derived Derived \n",
"8 Derived Derived Derived Derived \n",
"9 Derived Derived Derived Derived \n",
"10 Derived Derived Derived Derived \n",
"11 Derived Derived Derived Derived \n",
"\n",
" lnL chi2 \n",
"0 $\\ln \\mathcal{L}$ $\\chi^2$ \n",
"1 325059 1.022 \n",
"2 4 0.006 \n",
"3 4 0.006 \n",
"4 325040 0.995 \n",
"5 325059 1.022 \n",
"6 Derived Derived \n",
"7 Derived Derived \n",
"8 Derived Derived \n",
"9 Derived Derived \n",
"10 Derived Derived \n",
"11 Derived Derived \n",
"\n",
"[12 rows x 45 columns]\n"
]
}
],
"source": [
"print(rdf)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally, we probably want to see that things have actually improved. Therefore, we plot the data again, again we update our parameter dictionary with our new parameters before plotting."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"## Photometric system 1/Photometer 1 ##:\n",
"\n",
"Reduced chi-squared for the light curve is:\n",
"\t 0.698\n",
"Number of data points: 1200\n",
"Number of fitting parameters: 4\n",
"#########################\n",
"## Spectroscopic system 1/Spectrograph\\ 1 ##:\n",
"\n",
"Reduced chi-squared for the radial velocity curve is:\n",
"\t 1.509\n",
"Number of data points: 42\n",
"Number of fitting parameters: 4\n",
"#########################\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/emil/anaconda3/lib/python3.7/site-packages/IPython/core/pylabtools.py:132: UserWarning: Creating legend with loc=\"best\" can be slow with large amounts of data.\n",
" fig.canvas.print_figure(bytes_io, **kw)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"post_inspect = 1\n",
"if post_inspect:\n",
" tracit.update_pars(rdf,par)\n",
" tracit.plot_lightcurve(par,dat)\n",
" tracit.plot_orbit(par,dat,updated_pars=rdf)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Arguably this looks much better."
]
}
],
"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": "3.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 4
}