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arXiv 1010.2492astro-ph.EPastro-ph.SR
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如何用月亮称量星星的重量

How to Weigh a Star Using a Moon

David M. Kipping

摘要:

我们表明,对于一个过境的太阳系外行星伴随着一个月亮,也过境,绝对质量和半径的恒星,行星和月亮是确定的。对于行星-恒星系统,众所周知,恒星的密度可以通过开普勒第三定律从光变曲线计算出来。以类似的方式,行星的密度是可以计算的行星-月亮系统,其过境的恒星,因此密度比是已知的。通过将这个比值与观测到的半径比和系统的径向速度测量值相结合,我们证明了恒星和行星的绝对尺寸是可以确定的。这意味着这样的系统可以用作恒星演化的校准器。探测动力学效应,如凌日时间变化,也可以确定月球的绝对质量,这可以与半径结合来推断卫星的组成。

英文摘要:

We show that for a transiting exoplanet accompanied by a moon which also transits, the absolute masses and radii of the star, planet and moon are determinable. For a planet-star system, it is well known that the density of the star is calculable from the lightcurve by manipulation of Kepler's Third Law. In an analogous way, the planetary density is calculable for a planet-moon system which transits a star, and thus the ratio-of-densities is known. By combining this ratio with the observed ratio-of-radii and the radial velocity measurements of the system, we show that the absolute dimensions of the star and planet are determinable. This means such systems could be used as calibrators of stellar evolution. The detection of dynamical effects, such as transit timing variations, allows the absolute mass of the moon to be determined as well, which may be combined with the radius to infer the satellite's composition.

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