【摘要】 宽距双星是由两个相距较远且围绕公共质心做轨道运动的天体组成的系统，其物理投影间距是最直接的观测量。以太阳邻域1 kpc的高纯度宽距双星为测试样本，发现由选择效应导致的γ值异常现象(随不同距离壳层愈加偏离正常值γ=-1.5)。为了解决该问题，量化了各距离壳层的选择效应强度，据此重新校验选择函数，并使用三种不同的幂律谱模型，通过贝叶斯统计和马尔科夫链蒙特卡洛方法对其投影间距的内禀分布进行参数拟合。研究结果表明，在应用改进的选择函数后，各距离壳层中三种数学模型的幂律指数γ均趋于平稳且正常。这些结果为修正受选择效应影响的宽距双星投影间距分布的模型参数提供了参考依据，对理解宽距双星的形成与演化，以及其他相关领域具有重要意义。更多还原

【Abstract】 Wide binary systems are composed of two distant celestial bodies orbiting around a common barycenter. The projected physical separation is the most direct observational quantity. Conventionally, it has been widely believed that the intrinsic distribution of projected separation in binary systems typically follows specific power-law spectrum(P(s) ∝ s~γ with γ≈-1.5). However, using the test sample of high-purity wide binary systems within a 1 kpc sphere of the solar neighborhood, anomalies in the γ values attributable to selection effect has been observed, with γdeviating further from the expected value as the distance gaps vary. To address this, quantify the strength and pattern of selection effect across various distance gaps, recalibrate the selection function, utilize three different power-law spectral models, and fit parameters to the intrinsic distribution of projected separations by Bayesian statistics and Markov chain Monte Carlo methods. The findings indicate that, after applying the improved selection function, the power-law indices of the three mathematical models in each distance gap stabilize and return to normal levels. This study provides crucial insights for adjusting model parameters to fit the distribution of projected separations for wide binary systems heavily affected by selection effects, thus benefiting the exploration of the formation, evolution of wide binary systems, and related fields.更多还原