This article is motivated by uncertainty in experimental determinations of the gravitational constant, G, and numerous anomalies of up to 0.5 percent in Newtonian gravitational force on bodies within the solar system. The analysis sheds new light through six natural experiments within the solar system, which draw on published reports and astrophysical databases, and involve laboratory determinations of G, orbital dynamics of the planets and the moons of Earth and Mars, and non-gravitational acceleration (NGA) of ‘Oumuamua and comets. In each case, values are known for all variables in Newton’s Law , except for the gravitational constant, G. Analyses determine the gravitational constant’s observed value, , which—across the six settings—varies with the mass of the smaller, moving body, m, so that . While further work is required, this examination shows a scale-related Newtonian gravity effect at scales from benchtop to Solar System, which contributes to the understanding of symmetry in gravity and has possible implications for Newton’s Laws, dark matter, and formation of structure in the universe.

中文翻译：

---

额外的太阳系引力异常

这篇文章的动机是引力常数 G 的实验确定中的不确定性，以及太阳系内物体上牛顿引力高达 0.5% 的许多异常现象。该分析通过太阳系内的六项自然实验提供了新的思路，这些实验借鉴了已发表的报告和天体物理数据库，并涉及 G 的实验室确定、行星和地球和火星卫星的轨道动力学以及非重力加速度 (NGA) ) 的 'Oumuamua 和彗星。在每种情况下，牛顿定律中所有变量的值都是已知的，除了引力常数 G。 分析确定了引力常数的观测值 ，它在六个设置中随着较小的移动物体的质量而变化，m ， 以便 。虽然还需要进一步的工作，