行星在Weyl构象稳定解上的反常进动
Anomalous precession of planets on a Weyl conformastatic solution
摘要：
本文研究了近牛顿引力场中的反常行星进动。这个极限是在不改变测地线偏差方程的情况下，将慢运动条件应用于测地线方程而得到的。利用Weyl构象稳定真空解的近日点推进的非标准表达式作为模型，通过与行星和月球星历（EPM 2008和EPM 2011）和行星和月球星历（INPOP 10a）的不同观测数据比较，可以描述行星岁差的异常。结果表明，利用Levenberg-Marquardt算法和相关的卡方统计量，我们发现该异常与INPOP 10a观测值是统计无关的。作为对这一工作的补充，我们还利用EPM 2011校准的观测数据对巨行星的相对论性岁差进行了应用。
英文摘要：
In this paper, we investigate the anomalous planets precession in the nearly-newtonian gravitational regime. This limit is obtained from the application of the slow motion condition to the geodesic equations without altering the geodesic deviation equations. Using a non-standard expression for the perihelion advance from the Weyl conformastatic vacuum solution as a model, we can describe the anomaly in planets precession compared with different observational data from Ephemerides of the Planets and the Moon (EPM2008 and EPM2011) and Planetary and Lunar Ephemeris (INPOP10a). As a result, using the Levenberg-Marquardt algorithm and calculating the related Chi-squared statistic, we find that the anomaly is statistical irrelevant in accordance with INPOP10a observations. As a complement to this work, we also do an application to the relativistic precession of giant planets using observational data calibrated with the EPM2011.
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