论文标题
从工程物理学衍生的行星轨道的轨道
The Orbit of Planet Nine Derived from Engineering Physics
论文作者
论文摘要
最近有几篇论文提出了可能存在第九行星（行星X），这些行星可能解释了许多分离的跨纳普尼亚物体的重力扰动。为了进一步分析可能性，我们采用了天体力学，工程物理学和统计分析来改进地球的原发性轨道元素和第一工程原理的质量，使用了分析的6个对象的原始组的轨道特征，并使用了第二组的轨道特征，并将其与6个原始6个组合在一起，并由6个长期的长期pperiod persiod asteroid Asteroids选择。我们表明，观察到的聚类背后的驱动力是重力扭矩，它以系统的，有序的方式排列小行星的轨道，我们开发了相关的运动方程。作为证据，我们表明，所涉及的相关物体的轨道特性中的预期效应是完全明显的，其中包括有关其轨道平面，方位方向和特定相对角动量的最引人注目的，我们显示出在其相对角矩中产生的非常出乎意料的共振形式。我们进一步表明，第9号轨道的坐标接近其他作者最近提出的原始价值，尽管我们证明其时期必须比Batygin和Brown在最近的文献中提出的时期大约要小，2019年，大约3500年，怪异度接近0.65，其质量接近8.4倍地球的质量。鉴于预测的轨道，我们表明该星球显然产生了许多平均运动共振，其中7个被特别注意。至于可能的观察，行星X的范围将在v = 18.9和26.1之间，可能约为24.8。
Several papers have recently suggested the possible presence of a ninth planet (Planet X) that might explain the gravitational perturbations of a number of detached Trans-Neptunian objects. To analyze the possibility further, we have applied celestial mechanics, engineering physics and statistical analysis to develop improved estimates of the planet's primary orbital elements and mass from first engineering principles, using the orbital characteristics of both the original group of 6 objects analyzed and also a second group comprising the original 6 together with 6 additional long-period asteroids selected by the authors. We show that the driving force behind the observed clustering is gravitational torque that arranges the orbits of asteroids in a systematic, orderly manner, and we develop the associated equations of motion. As evidence we show that the expected effects are fully apparent in the orbital characteristics of the correlated bodies involved, including most strikingly regarding their orbital planes, azimuth orientations and specific relative angular momenta, which we show generates a highly unexpected form of resonance in their relative angular momenta. We further show that the coordinates of Planet 9's orbit are close to the original values proposed recently by other authors, although we prove that its period has to be dramatically smaller than that proposed in recent literature by Batygin and Brown, 2019, at about 3500 yrs, the eccentricity is near 0.65, and its mass approximately 8.4 times the Earth's mass. Given the predicted orbit we show that the planet has apparently created numerous mean motion resonances, of which seven are noted specifically. As for a possible observation, Planet X, would range between V=18.9 and 26.1, probably with a magnitude of about 24.8.
