Parameter estimation from the transit light curve including gravitational lensing effects

Abstract

We study transit light curves of exoplanets, incorporating gravitational lensing effects, and explore the possibility of estimating planetary masses using only the transit light curve. We analyze existing data for planets with relatively large orbital distances ($>1$ AU) from Kepler and TESS to evaluate how well their masses can be constrained. For six exoplanets, we derive 2$\sigma$ upper limits of 200-2000 Jupiter masses. We also construct mock data to assess the feasibility of determining masses for exoplanets with larger orbital radii than currently known. Our results show that a precision of $3\times 10^{-6}$ is required to recover the true masses of planets with 10 (5) Jupiter masses at orbital radii of $a=20$ (100) AU. Furthermore, we demonstrate that neglecting gravitational effects can lead to underestimation of exoplanet radii, particularly for planets with large orbital separations. Using mock data with a precision of $2\times 10^{-4}$, assuming a 30 minutes cadence with Kepler for a $K_p=14$ mag star, we find that the estimated radii can be underestimated by 1-20% for 5 and 10 Jupiter-mass planets with $a=$ 10-100 AU. These results highlight the importance of including microlensing effects when modeling transit light curves of wide-orbit planets.

13 pages, 23 figures, published in AJ

References in corpus (25)

• emcee: The MCMC Hammer
• Overview of the Kepler Science Processing Pipeline
• Astrometric exoplanet detection with Gaia
• Initial Characteristics of Kepler Long Cadence Data For Detecting Transiting Planets
• Kepler Data Validation I -- Architecture, Diagnostic Tests, and Data Products for Vetting Transiting Planet Candidates
• PyTransit: Fast and Easy Exoplanet Transit Modelling in Python
• LDTk: Limb Darkening Toolkit
• An Exomoon Survey of 70 Cool Giant Exoplanets and the New Candidate Kepler-1708 b-i
• KOI-3278: A Self-Lensing Binary Star System
• Planet Hunters. VIII. Characterization of 41 Long-Period Exoplanet Candidates from Kepler Archival Data
• Microlensing of Large Sources
• Self-lensing Discovery of a $0.2M_{\odot }$ White Dwarf in an Unusually Wide Orbit Around a Sun-like Star
• Occultation and Microlensing
• Near-Field Microlensing and Its Effects on Stellar Transit Observations by Kepler
• Discovery of three self-lensing binaries from Kepler
• Transiting Planet Candidates Beyond the Snow Line Detected by Visual Inspection of 7557 Kepler Objects of Interest
• Discovery of a Transiting Planet Near the Snow-Line
• Transiting Planets near the Snow Line from Kepler. I. Catalog
• Finite source effects in microlensing: A precise, easy to implement, fast and numerical stable formalism
• Kepler-167e as a Probe of the Formation Histories of Cold Giants with Inner Super-Earths
• Detection of compact objects by means of gravitational lensing in binary systems
• Detection and Characterisation of Giant Planets with Gaia Astrometry
• Degeneracy between Lensing and Occultation in the Analysis of Self-lensing Phenomena
• New observable for gravitational lensing effects during transits
• Validation and Initial Characterization of the Long Period Planet Kepler-1654 b