{ "cells": [ { "cell_type": "markdown", "id": "6fa0dd04-0145-448f-9e4e-90d6982e6bc6", "metadata": {}, "source": [ "# Tutorial: Add additional effects to simulated radial velocities" ] }, { "cell_type": "markdown", "id": "3f59510a-c27f-40d0-9ece-d633b9238172", "metadata": {}, "source": [ "By default, radial velocities (RVs) simulated from Phitter's model binaries have zero center of mass RV. Currently Phitter allows adding a constant offset. More complex offsets to the center of mass (such as motion of the binary in a wider orbit) are planned for the future." ] }, { "cell_type": "markdown", "id": "d04845e0-cc8d-4b7e-964b-3a5e8d36e720", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "5acda20f-f3d8-4d41-adfc-d831f7c51d0f", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/abhimat/Software/miniforge3/envs/phoebe_py38/lib/python3.8/site-packages/pysynphot/locations.py:345: UserWarning: Extinction files not found in /Volumes/Noh/models/cdbs/extinction\n", " warnings.warn('Extinction files not found in %s' % (extdir, ))\n" ] } ], "source": [ "from phitter import observables, filters\n", "from phitter.params import star_params, binary_params, isoc_interp_params\n", "from phitter.calc import model_obs_calc, phot_adj_calc, rv_adj_calc\n", "\n", "import numpy as np\n", "\n", "from phoebe import u\n", "from phoebe import c as const\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "\n", "%matplotlib inline\n", "\n", "# The following warning regarding extinction originates from SPISEA and can be ignored.\n", "# The functionality being warned about is not used by SPISEA." ] }, { "cell_type": "markdown", "id": "20fa1154-a377-435d-a7e2-4e83dc7008ce", "metadata": {}, "source": [ "## Set up model binary" ] }, { "cell_type": "markdown", "id": "8f8853c0-cbee-47bf-86e9-4d9cec0861af", "metadata": {}, "source": [ "Let's build off the same red giant binary system we simulated in the [previous tutorial](add_phot_effects)." ] }, { "cell_type": "code", "execution_count": 2, "id": "1b667621-5824-4db6-8352-cbf311dc0f9e", "metadata": {}, "outputs": [], "source": [ "filter_153m = filters.hst_f153m_filt()\n", "filter_127m = filters.hst_f127m_filt()" ] }, { "cell_type": "code", "execution_count": 3, "id": "6f2fa0d1-6ced-400a-8863-a9409eee78fb", "metadata": {}, "outputs": [], "source": [ "# Object for interpolating stellar parameters from an isochrone\n", "\n", "isoc_stellar_params_obj = isoc_interp_params.isoc_mist_stellar_params(\n", " age=8e9,\n", " met=0.0,\n", " use_atm_func='merged',\n", " phase='RGB',\n", " ext_Ks=2.2,\n", " dist=8e3*u.pc,\n", " filts_list=[filter_153m, filter_127m],\n", " ext_law='NL18',\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "id": "0548e9c6-2a4c-47df-a861-aad906421ed3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Star 1 Parameters\n", "mass_init = 1.103 solMass\n", "mass = 1.100 solMass\n", "rad = 15.000 solRad\n", "lum = 70.325 solLum\n", "teff = 4315.7 K\n", "logg = 2.127\n", "syncpar = 1.000\n", "---\n", "filt :\n", "mag = 17.457\n", "mag_abs = -1.909\n", "pblum = 0.975 solLum\n", "filt :\n", "mag = 20.483\n", "mag_abs = -1.431\n", "pblum = 1.181 solLum\n", "\n", "Star 2 Parameters\n", "mass_init = 1.102 solMass\n", "mass = 1.100 solMass\n", "rad = 12.000 solRad\n", "lum = 49.434 solLum\n", "teff = 4418.1 K\n", "logg = 2.321\n", "syncpar = 1.000\n", "---\n", "filt :\n", "mag = 17.883\n", "mag_abs = -1.483\n", "pblum = 0.659 solLum\n", "filt :\n", "mag = 20.887\n", "mag_abs = -1.028\n", "pblum = 0.815 solLum\n", "\n" ] } ], "source": [ "star1_params = isoc_stellar_params_obj.interp_star_params_rad(\n", " 15,\n", ")\n", "\n", "print(\"Star 1 Parameters\")\n", "print(star1_params)\n", "\n", "star2_params = isoc_stellar_params_obj.interp_star_params_rad(\n", " 12,\n", ")\n", "\n", "print(\"Star 2 Parameters\")\n", "print(star2_params)" ] }, { "cell_type": "code", "execution_count": 5, "id": "730dce9a-7c38-49db-b365-52c0eeeddf71", "metadata": {}, "outputs": [], "source": [ "# Binary parameters\n", "bin_params = binary_params.binary_params(\n", " period = 30.0 * u.d,\n", " ecc = 0.2,\n", " inc = 80.0 * u.deg,\n", " t0 = 53_800.0,\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "id": "3065071c-3fb3-4009-9b08-1bfd0e13765a", "metadata": {}, "outputs": [], "source": [ "# Set up model times\n", "# Model times are in MJD here\n", "model_phases = np.linspace(0, 1, num=100)\n", "model_times = model_phases * bin_params.period.value + bin_params.t0" ] }, { "cell_type": "code", "execution_count": 7, "id": "7a677a15-6ae6-4c0d-b040-4bb48a8eac76", "metadata": {}, "outputs": [], "source": [ "# Set up filter and observation type arrays for the model fluxes and RVs\n", "\n", "flux_153m_filt_arr = np.full(len(model_phases), filter_153m)\n", "flux_153m_type_arr = np.full(len(model_phases), 'phot')\n", "\n", "flux_127m_filt_arr = np.full(len(model_phases), filter_127m)\n", "flux_127m_type_arr = np.full(len(model_phases), 'phot')\n", "\n", "rv_pri_filt_arr = np.full(len(model_phases), filter_153m)\n", "rv_pri_type_arr = np.full(len(model_phases), 'rv_pri')\n", "\n", "rv_sec_filt_arr = np.full(len(model_phases), filter_153m)\n", "rv_sec_type_arr = np.full(len(model_phases), 'rv_sec')" ] }, { "cell_type": "code", "execution_count": 8, "id": "88c50d5f-429c-4048-8845-88c329244ffe", "metadata": {}, "outputs": [], "source": [ "# Now make arrays for all the times, filters, and observation types by concatenating the above arrays\n", "\n", "obs_times = np.concatenate(\n", " (model_times, model_times, model_times, model_times),\n", ")\n", "obs_filts = np.concatenate(\n", " (flux_153m_filt_arr, flux_127m_filt_arr, rv_pri_filt_arr, rv_sec_filt_arr,),\n", ")\n", "obs_types = np.concatenate(\n", " (flux_153m_type_arr, flux_127m_type_arr, rv_pri_type_arr, rv_sec_type_arr,),\n", ")" ] }, { "cell_type": "code", "execution_count": 9, "id": "fb5971df-e184-401f-acfa-ff738d77457d", "metadata": {}, "outputs": [], "source": [ "# Finally, construct the observables object\n", "\n", "model_observables = observables.observables(\n", " obs_times=obs_times,\n", " obs_filts=obs_filts, obs_types=obs_types,\n", ")" ] }, { "cell_type": "code", "execution_count": 10, "id": "c6503f59-5dab-4ec3-be5b-df8713e14771", "metadata": {}, "outputs": [], "source": [ "# Object to perform the computation of flux and RVs\n", "\n", "binary_model_obj = model_obs_calc.binary_star_model_obs(\n", " model_observables,\n", " use_blackbody_atm=False,\n", " print_diagnostics=False,\n", ")" ] }, { "cell_type": "code", "execution_count": 11, "id": "964992ba-a353-404e-993f-426d66331f2a", "metadata": {}, "outputs": [], "source": [ "modeled_observables = binary_model_obj.compute_obs(\n", " star1_params, star2_params, bin_params,\n", ")" ] }, { "cell_type": "code", "execution_count": 12, "id": "fb6090a0-70d8-4f4a-b6b2-c233a257e88b", "metadata": {}, "outputs": [], "source": [ "# Fluxes in mags\n", "modeled_mags_153m = modeled_observables.obs[modeled_observables.phot_filt_filters[filter_153m]]\n", "modeled_mags_127m = modeled_observables.obs[modeled_observables.phot_filt_filters[filter_127m]]\n", "\n", "# RVs in km/s\n", "modeled_rvs_star1 = modeled_observables.obs[modeled_observables.obs_rv_pri_filter]\n", "modeled_rvs_star2 = modeled_observables.obs[modeled_observables.obs_rv_sec_filter]\n" ] }, { "cell_type": "code", "execution_count": 13, "id": "d9285e95-d25c-4a6e-b000-28425c800bb9", "metadata": {}, "outputs": [], "source": [ "# Add distance modulus\n", "\n", "modeled_observables = phot_adj_calc.apply_distance_modulus(\n", " modeled_observables,\n", " 8e3*u.pc,\n", ")" ] }, { "cell_type": "code", "execution_count": 14, "id": "22bdb1b6-ead0-4530-8c15-c812ed548283", "metadata": {}, "outputs": [], "source": [ "# Apply reddening from extinction\n", "\n", "modeled_observables = phot_adj_calc.apply_extinction(\n", " modeled_observables,\n", " isoc_Ks_ext=2.2,\n", " ref_filt=filter_153m,\n", " target_ref_filt_ext=4.5,\n", " isoc_red_law='NL18',\n", " ext_alpha=2.23,\n", ")" ] }, { "cell_type": "code", "execution_count": 15, "id": "2a2762be-6896-43e3-b4e0-673f04fef98a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Fluxes in mags\n", "modeled_mags_153m = modeled_observables.obs[modeled_observables.phot_filt_filters[filter_153m]]\n", "modeled_mags_127m = modeled_observables.obs[modeled_observables.phot_filt_filters[filter_127m]]\n", "\n", "# RVs in km/s\n", "modeled_rvs_star1 = modeled_observables.obs[modeled_observables.obs_rv_pri_filter]\n", "modeled_rvs_star2 = modeled_observables.obs[modeled_observables.obs_rv_sec_filter]\n", "\n", "# Draw plot\n", "fig = plt.figure(figsize=(6,6))\n", "\n", "# F153M mags subplot\n", "ax_mag_153m = fig.add_subplot(3,1,1)\n", "\n", "ax_mag_153m.plot(\n", " model_phases, modeled_mags_153m,\n", " '-', color='C1',\n", ")\n", "\n", "ax_mag_153m.set_xlim([0, 1])\n", "\n", "ax_mag_153m.invert_yaxis()\n", "ax_mag_153m.set_ylabel(r\"$m_{F153M}$\")\n", "\n", "# F153M mags subplot\n", "ax_mag_127m = fig.add_subplot(3,1,2)\n", "\n", "ax_mag_127m.plot(\n", " model_phases, modeled_mags_127m,\n", " '-', color='C0',\n", ")\n", "\n", "ax_mag_127m.set_xlim([0, 1])\n", "\n", "ax_mag_127m.invert_yaxis()\n", "ax_mag_127m.set_ylabel(r\"$m_{F127M}$\")\n", "\n", "# RVs subplot\n", "ax_rvs = fig.add_subplot(3,1,3)\n", "\n", "ax_rvs.plot(\n", " model_phases, modeled_rvs_star1,\n", " '-', color='C9', label='Star 1',\n", ")\n", "\n", "ax_rvs.plot(\n", " model_phases, modeled_rvs_star2,\n", " '-', color='C3', label='Star 2',\n", ")\n", "\n", "ax_rvs.set_xlabel(f\"Phase (period = {bin_params.period:.1f})\")\n", "ax_rvs.set_xlim([0, 1])\n", "\n", "ax_rvs.set_ylabel(\"Radial Velocity (km/s)\")\n", "\n", "ax_rvs.legend(loc='lower center', ncol=2)\n" ] }, { "cell_type": "markdown", "id": "b2ebe1a6-6f71-4cf2-bb21-c29e6ed3e6a0", "metadata": {}, "source": [ "# Add a constant offset for the center of mass RV" ] }, { "cell_type": "code", "execution_count": 16, "id": "1f2e1757-2e40-40a4-887b-fece43a59cca", "metadata": {}, "outputs": [], "source": [ "# Apply reddening from extinction\n", "\n", "modeled_observables = rv_adj_calc.apply_com_velocity(\n", " modeled_observables,\n", " 150. * u.km / u.s,\n", ")" ] }, { "cell_type": "code", "execution_count": 17, "id": "b379a319-a158-4f73-bb83-bea1bae78384", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Fluxes in mags\n", "modeled_mags_153m = modeled_observables.obs[modeled_observables.phot_filt_filters[filter_153m]]\n", "modeled_mags_127m = modeled_observables.obs[modeled_observables.phot_filt_filters[filter_127m]]\n", "\n", "# RVs in km/s\n", "modeled_rvs_star1 = modeled_observables.obs[modeled_observables.obs_rv_pri_filter]\n", "modeled_rvs_star2 = modeled_observables.obs[modeled_observables.obs_rv_sec_filter]\n", "\n", "# Draw plot\n", "fig = plt.figure(figsize=(6,6))\n", "\n", "# F153M mags subplot\n", "ax_mag_153m = fig.add_subplot(3,1,1)\n", "\n", "ax_mag_153m.plot(\n", " model_phases, modeled_mags_153m,\n", " '-', color='C1',\n", ")\n", "\n", "ax_mag_153m.set_xlim([0, 1])\n", "\n", "ax_mag_153m.invert_yaxis()\n", "ax_mag_153m.set_ylabel(r\"$m_{F153M}$\")\n", "\n", "# F153M mags subplot\n", "ax_mag_127m = fig.add_subplot(3,1,2)\n", "\n", "ax_mag_127m.plot(\n", " model_phases, modeled_mags_127m,\n", " '-', color='C0',\n", ")\n", "\n", "ax_mag_127m.set_xlim([0, 1])\n", "\n", "ax_mag_127m.invert_yaxis()\n", "ax_mag_127m.set_ylabel(r\"$m_{F127M}$\")\n", "\n", "# RVs subplot\n", "ax_rvs = fig.add_subplot(3,1,3)\n", "\n", "ax_rvs.plot(\n", " model_phases, modeled_rvs_star1,\n", " '-', color='C9', label='Star 1',\n", ")\n", "\n", "ax_rvs.plot(\n", " model_phases, modeled_rvs_star2,\n", " '-', color='C3', label='Star 2',\n", ")\n", "\n", "ax_rvs.set_xlabel(f\"Phase (period = {bin_params.period:.1f})\")\n", "ax_rvs.set_xlim([0, 1])\n", "\n", "ax_rvs.set_ylabel(\"Radial Velocity (km/s)\")\n", "\n", "ax_rvs.legend(loc='lower center', ncol=2)\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:phoebe_py38]", "language": "python", "name": "conda-env-phoebe_py38-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 5 }