Abstract—We investigate statistical patterns in the distribution of the orbits of long-period comets that belong to the inner region of the Oort cloud (with aphelion distances, Q, lying in the 50–2000 AU interval). We show that the distribution of aphelia is not random and such patterns can be due, in particular, to the presence of hypothetical massive bodies in the region considered. We varied the orbital parameters of such bodies to obtain two orbits such that each of them has the aphelia of 40 comets located within the 20-degree neighborhood of the orbit. This number is statistically significant. The orbits have the following parameters in the ecliptic coordinate system: P₁: Ω_P = 297°, i_P = 24°, ω_P = 322°, e_P = 0.6, a_P = 510 AU; P₂: Ω_P =92°, i_P = 80°, ω_P =327°, e_P = 0.3, a_P =1000 AU. For the adopted masses of these bodies we determined the minimum distances between their orbits and the orbits of the comets and estimated the number of aphelia located within the spheres of influence of these bodies. We found that the greatest number of aphelia are located near orbit P₁. However, their number is insufficient to conclude that massive bodies actually move in the inferred orbits. It is remarkable that the planes of orbits P₁ and P₂ in the Galactic coordinate system have the same inclinations (40°) and longitudes of their ascending nodes are equal to 10° and 170°, i.e., the orbital planes are almost symmetric with respect to the direction toward the Galactic center. The concentration of orbital aphelia of the comets considered found in this study can therefore be due to the attraction from the Galactic center and/or complex motion of the Solar system.

摘要—我们研究了属于奥尔特云内部区域的长周期彗星轨道分布的统计模式（其顶峰距离Q在50–2000 AU间隔内）。我们表明，紫杉属植物的分布不是随机的，并且这种模式尤其可能是由于所考虑的区域中存在假想的块状体。我们改变了这些天体的轨道参数，以获得两个轨道，这样每个轨道都有40个彗星的星空，它们位于轨道20度附近。此数字具有统计意义。轨道已经在黄道以下参数坐标系中：P ₁：Ω _P = 297°，我_P= 24°，ω _P = 322°，ê _P = 0 。6，一个_P = 510 AU; P ₂：Ω _P = 92°，我_P = 80°，ω _P = 327°，ê _P  = 0 。3，一个_P = 1000 AU。对于这些天体的质量，我们确定了它们的轨道与彗星轨道之间的最小距离，并估计了位于这些天体影响范围内的紫杉的数量。我们发现最大数量的无花果位于轨道P ₁附近。但是，它们的数量不足以得出大质量物体实际上在推断轨道中运动的结论。值得注意的是，银河系坐标系中的轨道P ₁和P ₂的平面具有相同的倾斜度（40°），其上升节点的经度分别等于10°和170°，即，轨道平面几乎与朝向银河系中心的方向。因此，在这项研究中发现的彗星的轨道性角闪石的集中可以归因于银河系中心的吸引力和/或太阳系的复杂运动。