This article presents the results of an analysis of Tisserand’s constant for 1389 long-period comets in relation to a hypothetical planet. A mechanism is proposed to apply Tisserand’s criterion for a relatively trans-Neptunian planet with a notable inclination and orbit eccentricity. In particular, the algorithm considers the planet’s heliocentric distance in the era of a clearly-defined transformational change in the cometary orbit. Thus, we carried out the corresponding calculations by simulating the planet motion plane. This study allows a comparative analysis of Tisserand constant values for proposed hypothetical planet parameters. The most notable result is for a planet at a proposed distance of 340 AU.

本文介绍了与假设行星相关的 1389 颗长周期彗星的 Tisserand 常数分析结果。提出了一种机制，以将 Tisserand 的标准应用于具有显着倾角和轨道偏心率的相对跨海王星行星。特别是，该算法考虑了在明确定义的彗星轨道转换变化时代行星的日心距离。因此，我们通过模拟行星运动平面进行了相应的计算。这项研究允许对提议的假设行星参数的 Tisserand 常数值进行比较分析。最显着的结果是一颗距离建议为 340 天文单位的行星。