克洛诺斯是否已经吞噬了第九行星及其追随者？
Has Kronos devoured Planet Nine and its epigones?
AI总结：
克洛诺斯是否吞噬了第九行星及其追随者？研究通过分析轨道进动限制第九行星位置，并排除行星X，提出需进一步数据验证其存在。
摘要：
第九行星假说涵盖了一个大约5-8个地球质量的天体，其轨道平面相对于黄道面倾斜10到20度，其近日点距离可达约240-385天文单位。最近，出现了两个追随者：行星X和行星Y。前者是第九行星的某种较小版本，其物理和轨道参数都更小。相反，后者质量范围从水星到地球质量，半长轴在100-200天文单位之间。通过使用土星轨道进动的真实上界，可以得到它们的位置，对于第九行星，似乎大致被限制在其远日点附近。行星Y可能只是一个水星大小的天体，至少在125天文单位外，而行星X似乎被排除。专门的数据处理通过建模这样的扰动者是必要的，以检查当前结论，作为可能检测到的提示，如果行星历法包含它们。沿着维京1号路线的探测器在数十年后可能被第九行星扰动约20-40公里。
英文摘要：
The Planet Nine hypothesis encompasses a body of about 5-8 Earth's masses whose orbital plane would be inclined to the ecliptic by one or two tens of degrees and whose perihelion distance would be as large as about 240-385 astronomical units. Recently, a couple of his epigones have appeared: Planet X and Planet Y. The former is a sort of minor version of Planet Nine in that all its physical and orbital parameters would be smaller. Instead, the latter would have a mass ranging from that of Mercury to the Earth's one and semimajor axis within 100-200 astronomical units. By using realistic upper bounds for the orbital precessions of Saturn, one can get insights on their position which, for Planet Nine, appears approximately confined around its aphelion. Planet Y can be just a Mercury-sized object at no less than about 125 astronomical units, while Planet X appears to be ruled out. Dedicated data reductions by modeling such perturber(s) are required to check the present conclusions, to be intended as hints of what might be detectable should planetary ephemerides include them. A probe on the same route of Voyager 1 would be perturbed by Planet Nine by about 20-40 km after some decades.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
