AI 中文总结
研究包含引力透镜效应的系外行星凌星光曲线，通过分析现有数据和构建模拟数据，探讨仅用凌星光曲线估计行星质量的可能性，得出质量约束及半径低估情况，强调模拟宽轨道行星凌星光曲线时考虑微透镜效应的重要性。
AI 中文摘要
我们研究了包含引力透镜效应的系外行星凌星光曲线，并探讨了仅利用凌星光曲线估计行星质量的可能性。我们分析了开普勒和苔丝卫星中轨道距离相对较大（>1天文单位）的行星的现有数据，以评估其质量的约束程度。对于六个系外行星，我们得出了200 - 2000木星质量的2σ上限。我们还构建了模拟数据，以评估确定比目前已知轨道半径更大的系外行星质量的可行性。结果表明，在轨道半径为a = 20（100）天文单位时，要恢复10（5）木星质量行星的真实质量，需要3×10⁻⁶的精度。此外，我们证明忽略引力效应会导致系外行星半径被低估，特别是对于轨道距离大的行星。使用精度为2×10⁻⁴的模拟数据，假设开普勒卫星对K_p = 14星等的恒星每30分钟进行一次观测，我们发现对于轨道半径a = 10 - 100天文单位的5和10木星质量的行星，估计半径可能被低估1％ - 20％。这些结果突出了在模拟宽轨道行星的凌星光曲线时考虑微透镜效应的重要性。
英文摘要
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$σ$ 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.
Comments13 pages, 23 figures, published in AJ
