The apparent clustering in longitude of perihelion ϖ and ascending node Ω of extreme trans-Neptunian objects (ETNOs) has been attributed to the gravitational effects of an unseen 5–10 Earth-mass planet in the outer solar system. To investigate how selection bias may contribute to this clustering, we consider 14 ETNOs discovered by the Dark Energy Survey, the Outer Solar System Origins Survey, and the survey of Sheppard and Trujillo. Using each survey's published pointing history, depth, and TNO tracking selections, we calculate the joint probability that these objects are consistent with an underlying parent population with uniform distributions in ϖ and Ω. We find that the mean scaled longitude of perihelion and orbital poles of the detected ETNOs are consistent with a uniform population at a level between 17% and 94% and thus conclude that this sample provides no evidence for angular clustering.

在近日点的经度表观聚类π和极端海王星对象（ETNOs）的升交点Ω已被归因于一个看不见的5-10地球质量行星的外太阳系的重力效应。调查选择偏差可能会如何促进这一集群，我们认为14个ETNOs由暗能量巡天，太阳系外的起源调查，和Sheppard和特鲁希略的调查发现。利用每个调查公布的指向历史，深度和TNO跟踪的选择，我们计算联合概率，这些对象与在均匀分布的基础母体一致π和Ω。我们发现，近日点和检测到的ETNOs的轨道磁极的平均缩放经度是具有均匀一致的人口在17％和94％之间的水平，从而得出结论，该样本提供了用于角聚类没有证据。