A simple model of the reflection effect for the interacting binaries and extrasolar planets

Abstract

Extrasolar planets are a natural extension of the interacting binaries towards the companions with very small masses and similar tools might be used to study them. Unfortunately, the generally accepted treatment of the reflection effect in interacting binaries is not very suitable to study cold objects irradiated by hot objects or extrasolar planets. Our simple model of the reflection effect takes into account the reflection (scattering), heating and heat redistribution over the surface of the irradiated object. The shape of the objects is described by the Roche potential and limb and gravity darkening can be taken into account. The orbital revolution and rotation of the planet with proper Doppler shifts for the scattered and thermal radiation are also accounted for. Subsequently, light-curves and/or spectra of exoplanets were modeled and the effects of the heat redistribution, limb darkening/brightening, (non-)grey albedo, and non-spherical shape were studied. Recent observations of HD189733b, WASP12b, and Wasp-19b were reproduced reasonably well. HD189733b has low Bond albedo and intense heat redistribution. Wasp-19b has low Bond albedo and low heat redistribution. We also calculate the exact Roche shapes and temperature distribution over the surface of all 78 transiting extrasolar planets known so far. It is found that the departures from the sphere vary considerably within the sample. Departures of about 1% are common. In some cases: WASP-12b, WASP-19b, WASP-33b departures can reach about 14, 12, and 8%, respectively. The mean temperatures of these planets also vary considerably from 300 K to 2600 K. The extreme cases are WASP-33b, WASP-12b, and WASP-18b with mean temperatures of about 2600, 2430, and 2330 K, respectively.

Any comments or suggestions will be appreciated

References in corpus (60)

• A super-Earth transiting a nearby low-mass star
• A Temperature and Abundance Retrieval Method for Exoplanet Atmospheres
• TrES-1: The Transiting Planet of a Bright K0V Star
• Efficient identification of exoplanetary transit candidates from SuperWASP light curves
• Is tidal heating sufficient to explain bloated exoplanets? Consistent calculations accounting for finite initial eccentricity
• Line-profile tomography of exoplanet transits -- II. A gas-giant planet transiting a rapidly-rotating A5 star
• Theoretical Spectra and Light Curves of Close-in Extrasolar Giant Planets and Comparison with Data
• HAT-P-1b: A Large-Radius, Low-Density Exoplanet Transiting one Member of a Stellar Binary
• Transiting exoplanets from the CoRoT space mission VI. CoRoT-Exo-3b: The first secure inhabitant of the brown-dwarf desert
• Transiting exoplanets from the CoRoT space mission I - CoRoT-Exo-1b: a low-density short-period planet around a G0V star
• WASP-19b: the shortest period transiting exoplanet yet discovered
• Inverting Phase Functions to Map Exoplanets
• Thermal Phase Variations of WASP-12b: Defying Predictions
• The Transit Light Curve Project. V. System Parameters and Stellar Rotation Period of HD 189733
• XO-2b: Transiting Hot Jupiter in a Metal-rich Common Proper Motion Binary
• Atmospheric Circulation of Hot Jupiters: A Shallow Three-Dimensional Model
• XO-3b: A Massive Planet in an Eccentric Orbit Transiting an F5V Star
• Atmospheric Dynamics of Short-period Extra Solar Gas Giant Planets I: Dependence of Night-Side Temperature on Opacity
• Theory for the Secondary Eclipse Fluxes, Spectra, Atmospheres, and Light Curves of Transiting Extrasolar Giant Planets
• A Transiting Planet of a Sun-like Star
• A Systematic Study of Departures from Chemical Equilibrium in the Atmospheres of Substellar Mass Objects
• Hot Nights on Extrasolar Planets: Mid-IR Phase Variations of Hot Jupiters
• The Discovery of Ellipsoidal Variations in the Kepler Light Curve of HAT-P-7
• HAT-P-12b: A Low-Density Sub-Saturn Mass Planet Transiting a Metal-Poor K Dwarf
• On the Absorption and Redistribution of Energy in Irradiated Planets
• Transiting extrasolar planetary candidates in the Galactic bulge
• WASP-12b as a prolate, inflated and disrupting planet from tidal dissipation
• Kepler-7b: A Transiting Planet with Unusually Low Density
• HAT-P-3b: A heavy-element rich planet transiting a K dwarf star
• High accuracy transit photometry of the planet OGLE-TR-113b with a new deconvolution-based method
• A Smaller Radius for the Transiting Exoplanet WASP-10b
• Kepler-4b: Hot Neptune-Like Planet of a G0 Star Near Main-Sequence Turnoff
• Discovery and Rossiter-McLaughlin Effect of Exoplanet Kepler-8b
• Physical properties of the 0.94-day period transiting planetary system WASP-18
• HAT-P-5b: A Jupiter-like hot Jupiter Transiting a Bright Star
• WASP-14b: 7.3 Mj transiting planet in an eccentric orbit
• A Transiting Hot Jupiter Orbiting a Metal-Rich Star
• HAT-P-6b: A Hot Jupiter transiting a bright F star
• Detection of a transit by the planetary companion of HD 80606
• Ground-based detection of thermal emission from the exoplanet WASP-19b
• Day-side z'-band emission and eccentricity of Wasp-12b
• Empirical Constraints on the Oblateness of an Exoplanet
• WASP-29b: A Saturn-sized transiting exoplanet
• HAT-P-14b: A 2.2 Jupiter-mass exoplanet transiting a bright F star
• WASP-7: The brightest transiting-exoplanet system in the Southern hemisphere
• Updated parameters for the transiting exoplanet WASP-3b using RISE, a new fast camera for the Liverpool Telescope
• Transiting exoplanets from the CoRoT space mission V. CoRoT-Exo-4b: Stellar and planetary parameters
• Nightside Pollution of Exoplanet Transit Depths
• Transiting exoplanets from the CoRoT space mission IX. CoRoT-6b: a transiting `hot Jupiter' planet in an 8.9d orbit around a low-metallicity star
• WASP-21b: a hot-Saturn exoplanet transiting a thick disc star
• A Hubble Space Telescope transit light curve for GJ436b
• H-band thermal emission from the 19-hour period planet WASP-19b
• The low density transiting exoplanet WASP-15b
• WASP-22 b: A transiting "hot Jupiter" planet in a hierarchical triple system
• The transiting planet OGLE-TR-132b revisited with new spectroscopy and deconvolution photometry
• Lupus-TR-3b: A Low-Mass Transiting Hot Jupiter in the Galactic Plane?
• OGLE-TR-211 - a new transiting inflated hot Jupiter from the OGLE survey and ESO LP666 spectroscopic follow-up program
• The `666' collaboration on OGLE transits: I. Accurate radius of the planets OGLE-TR-10b and OGLE-TR-56b with VLT deconvolution photometry
• WASP-26b: A 1-Jupiter-mass planet around an early-G-type star
• Indirect imaging of an accretion disk rim in the long-period interacting binary W Crucis

Cited by in corpus (38)

• A map of the large day-night temperature gradient of a super-Earth exoplanet
• WASP-121 b: a hot Jupiter in a polar orbit and close to tidal disruption
• Thermal Phase Variations of WASP-12b: Defying Predictions
• Homogeneous studies of transiting extrasolar planets. V. New results for 38 planets
• Departure from the constant-period ephemeris for the transiting exoplanet WASP-12 b
• WASP-103b: a new planet at the edge of tidal disruption
• Thermal Processes Governing Hot-Jupiter Radii
• Ground-Based Transit Spectroscopy of the Hot-Jupiter WASP-19b in the Near-Infrared
• Mass Loss from the Exoplanet WASP-12b Inferred from $\text{Spitzer}$ Phase Curves
• High-precision photometry by telescope defocussing. VII. The ultra-short period planet WASP-103
• z'-band Ground-Based Detection of the Secondary Eclipse of WASP-19b
• Multi-site campaign for transit timing variations of WASP-12 b: possible detection of a long-period signal of planetary origin
• Transit light curve and inner structure of close-in planets
• Signs of strong Na and K absorption in the transmission spectrum of WASP-103b
• The EREBOS project -- Investigating the effect of substellar and low-mass stellar companions on late stellar evolution
• Detection of the tidal deformation of WASP-103b at $3\sigma$ with CHEOPS
• TOI-2109b: An Ultrahot Gas Giant on a 16 hr Orbit
• The EVIL-MC Model for Ellipsoidal Variations of Planet-Hosting Stars and Applications to the HAT-P-7 System
• Comprehensive time series analysis of the transiting extrasolar planet WASP-33b
• Contamination from a nearby star cannot explain the anomalous transmission spectrum of the ultra-short period giant planet WASP-103b
• Tidally Distorted Exoplanets: Density Corrections for Short-Period Hot-Jupiters based solely on Observable Parameters
• Detectability of shape deformation in short-period exoplanets
• High-precision multi-wavelength eclipse photometry of the ultra-hot gas giant exoplanet WASP-103 b
• Optically thin circumstellar medium in $\beta$ Lyr A system
• The MUCHFUSS photometric campaign
• Bolometric treatment of irradiation effects: general discussion and application to binary stars
• Distinguishing Between Stellar and Planetary Companions With Phase Monitoring
• Physical properties of beta Lyr A and its opaque accretion disk
• Modeling the Accretion Structure of AU Mon
• Filling the gap between synchronized and non-synchronized sdBs in short-period sdBV+dM binaries with TESS: TIC 137608661, a new system with a well defined rotational splitting
• Effects of dust on light-curves of εAur type stars
• Analysis of new high-precision transit light curves of WASP-10 b: starspot occultations, small planetary radius, and high metallicity
• Day and night side core cooling of a strongly irradiated giant planet
• Understanding the rotational variability of K2 targets. HgMn star KIC 250152017 and blue horizontal branch star KIC 249660366
• EPIC 206197016: A very hot white dwarf orbited by a strongly irradiated red dwarf
• Revised instellation patterns for close-in exoplanets
• The Observational Effects and Signatures of Tidally Distorted Solid Exoplanets
• Synthetic Spectra and Light Curves of Interacting Binaries and Exoplanets with Circumstellar Material: SHELLSPEC