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首页> 外文期刊>The astronomical journal >A Numerical Method for Determining the Elements of Circumbinary Orbits and Its Application to Circumbinary Planets and the Satellites of Pluto-Charon
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A Numerical Method for Determining the Elements of Circumbinary Orbits and Its Application to Circumbinary Planets and the Satellites of Pluto-Charon

机译：一种确定轨道轨道元素的数值方法及其在冥王星的讽刺行星和卫星卫星中的应用

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摘要

Planets and satellites orbiting a binary system exist in the solar system and extrasolar planetary systems.Their orbits can be significantly different from Keplerian orbits, if they are close to the binary and the secondary-to-primary mass ratio is high.A proper description of a circumbinary orbit is in terms of the free eccentricity efree at the epicyclic frequency κ0, forced eccentricity eforced at the mean motion n0, and oscillations at higher frequencies forced by the non-axisymmetric components of the binary's potential.We show that accurate numerical values for the amplitudes and frequencies of these terms can be extracted from numerical orbit integrations by applying fast Fourier transformation (FFT) to the cylindrical distance between the circumbinary object and the center of mass of the binary as a function of time.We apply this method to three Kepler circumbinary planets and the satellites of Pluto-Charon.For the satellite Styx of Pluto-Charon, the FFT results for κ0 and efree differ significantly from the first-order analytic value and the value reported by Showalter & Hamilton, respectively.We show that the deviation in κ0 is likely due to the effect of the 3:1 mean-motion resonance and discuss the implications of the lower value for efree.
机译：天体和卫星在太阳系和郊区的行星系统中存在二元系统。如果它们接近二进制，则可以显着不同地不同于keplerian轨道和次级质量比率。轨道轨道在短周期仪κ0处的自由偏心尺寸efree而言，在平均运动N0处强制偏心率，并且由二进制电位的非轴对称组件强制较高频率的振荡.WE显示了准确的数值可以通过将快速傅里叶变换（FFT）与二进制的函数应用于函数，从数值轨道集成中提取这些术语的幅度和频率。我们将这种方法应用于三个开普勒的电流行星和Pluto-charon的卫星。对于Pluto-Charon的卫星Styx，FFT结果为κ0和efre E从一阶分析值和Showalter＆amp报道的价值显着不同;汉密尔顿分别表明，κ0的偏差可能是由于3：1平均运动共振的效果，并讨论了efree较低值的影响。

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