The PLATO Solar-like Light-curve Simulator

Context. ESA’s PLATO space mission, to be launched by the end of 2026, aims to detect and characterise Earth-like planets in their habitable zone using asteroseismology and the analysis of the transit events. The preparation of science objectives will require the implementation of hare-and-hound exercises relying on the massive generation of representative simulated light-curves. Aims. We developed a light-curve simulator named the PLATO Solar-like Light-curve Simulator (PSLS) in order to generate light-curves representative of typical PLATO targets, that is showing simultaneously solar-like oscillations, stellar granulation, and magnetic activity. At the same time, PSLS also aims at mimicking in a realistic way the random noise and the systematic errors representative of the PLATO multi-telescope concept. Methods. To quantify the instrumental systematic errors, we performed a series of simulations at pixel level that include various relevant sources of perturbations expected for PLATO. From the simulated pixels, we extract the photometry as planned on-board and also simulate the quasi-regular updates of the aperture masks during the observations. The simulated light-curves are then corrected for instrumental effects using the instrument point spread functions reconstructed on the basis of a microscanning technique that will be operated during the in-flight calibration phases of the mission. These corrected and simulated light-curves are then fitted by a parametric model, which we incorporated in PSLS. Simulation of the oscillations and granulation signals rely on current state-of-the-art stellar seismology. Results. We show that the instrumental systematic errors dominate the signal only at frequencies below ∼20 μHz. The systematic errors level is found to mainly depend on stellar magnitude and on the detector charge transfer inefficiency. To illustrate how realistic our simulator is, we compared its predictions with observations made by Kepler on three typical targets and found a good qualitative agreement with the observations. Conclusions. PSLS reproduces the main properties of expected PLATO light-curves. Its speed of execution and its inclusion of relevant stellar signals as well as sources of noises representative of the PLATO cameras make it an indispensable tool for the scientific preparation of the PLATO mission.

[1]  Y. Censor Row-Action Methods for Huge and Sparse Systems and Their Applications , 1981 .

[2]  S. Jefferies,et al.  Modeling of solar oscillation power spectra , 1990 .

[3]  J. Harvey,et al.  Asymmetries of solar oscillation line profiles , 1993 .

[4]  W. Chaplin,et al.  The observation and simulation of stochastically excited solar p modess , 1997 .

[5]  P. Scherrer,et al.  Asymmetry in Velocity and Intensity Helioseismic Spectra: A Solution to a Long-standing Puzzle , 1998 .

[6]  T. Lauer The Photometry of Undersampled Point‐Spread Functions , 1999, astro-ph/9907100.

[7]  P. Ventura,et al.  A new look at the relationship between activity, dynamo number and Rossby number in late-type stars , 2001 .

[8]  E. Agol,et al.  Analytic Light Curves for Planetary Transit Searches , 2002, astro-ph/0210099.

[9]  Laurent Gizon,et al.  Determining the Inclination of the Rotation Axis of a Sun-like Star , 2003 .

[10]  F. Hill,et al.  Simultaneous Velocity-Intensity Spectral and Cross-Spectral Fitting of Helioseismic Data , 2004 .

[11]  W. Chaplin,et al.  Inferred acoustic rates of solar p modes from several helioseismic instruments , 2005 .

[12]  J. Ridder,et al.  Modelling space-based high-precision photometry for asteroseismic applications , 2006 .

[13]  L. Wyatt,et al.  Row-Action Inversion of the Barrick–Weber Equations , 2006 .

[14]  Jørgen Christensen-Dalsgaard,et al.  ADIPLS—the Aarhus adiabatic oscillation package , 2007, 0710.3106.

[15]  M. Auvergne,et al.  Intrinsic photometric characterisation of stellar oscillations and granulation Solar reference values and CoRoT response functions , 2008, 0809.1078.

[16]  M. Deleuil,et al.  Oscillating red giants in the CoRoT exofield: asteroseismic mass and radius determination , 2008, 0811.4674.

[17]  Magali Deleuil,et al.  Non-radial oscillation modes with long lifetimes in giant stars , 2009, Nature.

[18]  J. Ridder,et al.  Red-giant seismic properties analyzed with CoRoT , 2010, 1004.0449.

[19]  Jessie L. Dotson,et al.  THE KEPLER PIXEL RESPONSE FUNCTION , 2010, 1001.0331.

[20]  Howard Isaacson,et al.  Kepler Planet-Detection Mission: Introduction and First Results , 2010, Science.

[21]  Y. Elsworth,et al.  The universal red-giant oscillation pattern; an automated determination with CoRoT data , 2010, 1011.1928.

[22]  F. Baudin,et al.  Accurate p-mode measurements of the G0V metal-rich CoRoT target HD 52265 , 2011, 1105.3551.

[23]  J. De Ridder,et al.  Characterization of the power excess of solar-like oscillations in red giants with Kepler , 2011, 1110.0980.

[24]  J. De Ridder,et al.  TESTING SCALING RELATIONS FOR SOLAR-LIKE OSCILLATIONS FROM THE MAIN SEQUENCE TO RED GIANTS USING KEPLER DATA , 2011, 1109.3460.

[25]  B. Mosser,et al.  The underlying physical meaning of the νmax νc relation , 2011, 1104.0630.

[26]  B. Mosser,et al.  Seismic diagnostics for transport of angular momentum in stars 2. Interpreting observed rotational splittings of slowly-rotating red giant stars , 2012, 1211.1546.

[27]  H. M. Antia,et al.  Oscillation mode linewidths of main-sequence and subgiant stars observed by Kepler , 2011, 1112.3295.

[28]  K. Belkacem Determination of the stars fundamental parameters using seismic scaling relations , 2012, 1210.3505.

[29]  J. De Ridder,et al.  Probing the core structure and evolution of red giants using gravity-dominated mixed modes observed with Kepler , 2012, 1203.0689.

[30]  A. Holland,et al.  High energy, optical, and infrared detectors for astronomy V : 1-4 July 2012, Amsterdam, Netherlands , 2012 .

[31]  Laurent Gizon,et al.  Seismic constraints on rotation of Sun-like star and mass of exoplanet , 2013, Proceedings of the National Academy of Sciences.

[32]  D. Stello,et al.  ASTEROSEISMIC CLASSIFICATION OF STELLAR POPULATIONS AMONG 13,000 RED GIANTS OBSERVED BY KEPLER , 2013, 1302.0858.

[33]  J. Ridder,et al.  A Bayesian approach to scaling relations for amplitudes of solar-like oscillations in Kepler stars , 2012, 1212.1156.

[34]  J. Bruijne,et al.  An analytical model of radiation-induced Charge Transfer Inefficiency for CCD detectors , 2013, 1302.1416.

[35]  P. Giommi,et al.  The PLATO 2.0 mission , 2013, 1310.0696.

[36]  David Hall,et al.  An improved model of charge transfer inefficiency and correction algorithm for the Hubble Space Telescope , 2014, 1401.1151.

[37]  C. Aerts,et al.  WHAT ASTEROSEISMOLOGY CAN DO FOR EXOPLANETS: KEPLER-410A b IS A SMALL NEPTUNE AROUND A BRIGHT STAR, IN AN ECCENTRIC ORBIT CONSISTENT WITH LOW OBLIQUITY , 2013, 1312.4938.

[38]  J. Montalbán,et al.  How accurate are stellar ages based on stellar models? II. The impact of asteroseismology , 2014, 1410.5337.

[39]  J. De Ridder,et al.  The PLATO Simulator: modelling of high-precision high-cadence space-based imaging , 2014, 1404.1886.

[40]  J. Montalbán,et al.  How accurate are stellar ages based on stellar models ? I. The impact of stellar models uncertainties , 2014, 1410.5336.

[41]  W. Chaplin,et al.  Super-Nyquist asteroseismology of solar-like oscillators with Kepler and K2 – expanding the asteroseismic cohort at the base of the red giant branch , 2014, 1409.0696.

[42]  H. M. Antia,et al.  Oscillation mode linewidths and heights of 23 main-sequence stars observed by Kepler , 2014, 1403.7046.

[43]  J. Ridder,et al.  The connection between stellar granulation and oscillation as seen by the Kepler mission , 2014, 1408.0817.

[44]  B. Mosser,et al.  Theoretical power spectra of mixed modes in low-mass red giant stars , 2014, 1409.6121.

[45]  J. Schou,et al.  Seismic constraints on the radial dependence of the internal rotation profiles of six Kepler subgiants and young red giants , 2014, 1401.3096.

[46]  L. Girardi,et al.  Asteroseismology of stellar populations in the milky way , 2014, 1409.2770.

[47]  P. Astier,et al.  Evidence for self-interaction of charge distribution in charge-coupled devices , 2015, 1501.01577.

[48]  B. Mosser,et al.  Period spacings in red giants I. Disentangling rotation and revealing core structure discontinuities , 2015, 1509.06193.

[49]  R. Samadi,et al.  PLATO: PSF modelling using a micro-scanning technique , 2014, 1411.7511.

[50]  B. Mosser,et al.  Surface-effect corrections for solar-like oscillations using 3D hydrodynamical simulations , 2015, 1510.00300.

[51]  H. M. Antia,et al.  Oscillation mode linewidths and heights of 23 main-sequence stars observed by Kepler (Corrigendum) , 2016 .

[52]  H. M. Antia,et al.  Standing on the Shoulders of Dwarfs: the Kepler Asteroseismic LEGACY Sample. I. Oscillation Mode Parameters , 2016, 1612.00436.

[53]  B. Mosser,et al.  Period spacings in red giants; III. Coupling factors of mixed modes , 2016, 1612.08453.

[54]  H. R. Coelho,et al.  Standing on the Shoulders of Dwarfs: the Kepler Asteroseismic LEGACY Sample. II. Radii, Masses, and Ages , 2016, 1611.08776.

[55]  A. Miglio,et al.  IV.2 Pulsating red giant stars , 2016 .

[56]  J. Christensen-Dalsgaard,et al.  Giant star seismology , 2017, The Astronomy and Astrophysics Review.

[57]  J. Christensen-Dalsgaard,et al.  SpaceInn hare-and-hounds exercise: Estimation of stellar properties using space-based asteroseismic data , 2016, 1604.08404.

[58]  N. A. Walton,et al.  PLATO as it is: a legacy mission for Galactic archaeology , 2017, 1706.03778.

[59]  Marie-Jo Goupil Expected asteroseismic performances with the space project PLATO , 2017 .

[60]  H. M. Antia,et al.  Erratum: “Standing on the Shoulders of Dwarfs: The Kepler Asteroseismic LEGACY Sample. I. Oscillation Mode Parameters” ( 2017, ApJ, 835, 172 ) , 2017 .

[61]  T. A. Lister,et al.  Gaia Data Release 2. Summary of the contents and survey properties , 2018, 1804.09365.

[62]  B. Mosser,et al.  Core rotation braking on the red giant branch for various mass ranges , 2018, Astronomy & Astrophysics.

[63]  B. Mosser,et al.  Amplitude and lifetime of radial modes in red giant star spectra observed by Kepler , 2018, Astronomy & Astrophysics.

[64]  K. Sreenivasan,et al.  Asymmetry of Line Profiles of Stellar Oscillations Measured by Kepler for Ensembles of Solar-like Oscillators: Impact on Mode Frequencies and Dependence on Effective Temperature , 2018, 1804.06117.

[65]  M. Everett,et al.  HD 89345: a bright oscillating star hosting a transiting warm Saturn-sized planet observed by K2 , 2018, Monthly Notices of the Royal Astronomical Society.

[66]  R. Peralta,et al.  A new method for extracting seismic indices and granulation parameters: results for more than 20,000 CoRoT and Kepler red giants , 2018, 1805.04296.

[67]  L. Girardi,et al.  A Synthetic Sample of Short-cadence Solar-like Oscillators for TESS , 2018, The Astrophysical Journal Supplement Series.

[68]  L. Girardi,et al.  Seismic performance , 2018, Astronomy & Astrophysics.