{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial 4\n", "\n", "## Planetary Injection-Recovery Test" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial demonstrates how `ARVE` can be used to perform planetary injection-recovery tests on the measured radial velocities (RVs)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We begin by importing the `ARVE` package and other useful packages." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Import packages\n", "import arve\n", "import matplotlib.pyplot as plt\n", "from matplotlib.ticker import AutoMinorLocator\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For our analysis, we make use of RVs from the HARPS-N solar telescope, downloadable from [DACE](https://dace.unige.ch/sun)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Read RVs\n", "df = pd.read_csv(\"example_data/tutorial_4/harpn_sun_release_timeseries_2015-2018.csv\")\n", "time_val_tot = df[\"date_bjd\"].values\n", "vrad_val_tot = df[\"rv\" ].values\n", "vrad_err_tot = df[\"rv_err\" ].values\n", "\n", "# Scale from m/s to km/s\n", "vrad_val_tot *= 1e-3\n", "vrad_err_tot *= 1e-3\n", "vrad_val_tot -= np.nanmedian(vrad_val_tot)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To make the injection-recovery test computationally efficient, we bin the measurements by day to have fewer data points." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Arrays for binned data\n", "time_min = int(time_val_tot[ 0]-0.5)+0.5\n", "time_max = int(time_val_tot[-1]+0.5)+0.5\n", "time_del = 1\n", "time_bin = np.arange(time_min, time_max+time_del/2, time_del)\n", "time_val = np.zeros_like(time_bin)*np.nan\n", "vrad_val = np.zeros_like(time_bin)*np.nan\n", "vrad_err = np.zeros_like(time_bin)*np.nan\n", "\n", "# Loop bins\n", "for i in range(len(time_bin)-1):\n", "\n", " # Find index range\n", " idx_min = np.searchsorted(time_val_tot, time_bin[i] )\n", " idx_max = np.searchsorted(time_val_tot, time_bin[i+1])\n", " idx_bin = np.arange(idx_min, idx_max)\n", "\n", " # Compute weighted average if current bin has enough points\n", " if len(idx_bin) > 5:\n", " time_val[i] = np.average(time_val_tot[idx_bin], weights=1/vrad_err_tot[idx_bin]**2)\n", " vrad_val[i] = np.average(vrad_val_tot[idx_bin], weights=1/vrad_err_tot[idx_bin]**2)\n", " vrad_err[i] = (np.sum(1/vrad_err_tot[idx_bin]**2))**(-1/2)\n", "\n", "# Remove empty binned measurements\n", "idx_val = ~np.isnan(time_val)\n", "time_val = time_val[idx_val]\n", "vrad_val = vrad_val[idx_val]\n", "vrad_err = vrad_err[idx_val]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we can plot the RVs to see the signatures of the solar rotation and magnetic cycle." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot RV time series\n", "plt.figure(figsize=(10,5))\n", "plt.errorbar(time_val, vrad_val*1e3, vrad_err*1e3, fmt=\".\", ls=\"-\", color=\"k\", ecolor=\"r\")\n", "plt.xlabel(\"BJD $-$ 2,400,000 [d]\")\n", "plt.ylabel(\"RV [m/s]\")\n", "plt.gca().xaxis.set_minor_locator(AutoMinorLocator())\n", "plt.gca().yaxis.set_minor_locator(AutoMinorLocator())\n", "plt.gca().tick_params(axis=\"both\", which=\"both\", direction=\"in\", top=True, right=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To perform the injection-recovery test, we initiate an `ARVE` object and provide it the relevant data. We thereafter select a map of planetary periods and masses to be injected, and perform the test." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Initiate ARVE object and perform injection-recovery test\n", "example = arve.ARVE()\n", "example.star.target = \"Sun\"\n", "example.star.get_stellar_parameters()\n", "example.data.add_data(time_val=time_val, vrad_val=vrad_val, vrad_err=vrad_err)\n", "example.planets.injection_recovery(xy_map=[1e1,1e3,1e0,1e2], map_dim=[21,21], x_var=\"P\", y_var=\"m\", scale=\"log\", N_max=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once the test has been executed, the resulting recoveries can be plotted, where it becomes clear that the stellar variability limits the detection of low-mass and long-period planets." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot recovery map\n", "fig = example.planets.plot_recoveries(figsize=(7.5,6.0))\n", "plt.show(fig)" ] } ], "metadata": { "kernelspec": { "display_name": "arve", "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": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 2 }