arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1012.0226gr-qcastro-ph.EPphysics.geo-phphysics.space-ph
收藏

太阳系对来自大距离修正重力的Rindler型额外加速度的限制

Solar system constraints on a Rindler-type extra-acceleration from modified gravity at large distances

Lorenzo Iorio

摘要:

我们解析地计算出在最近的一些大距离修正引力模型中自然产生的Rindler型额外加速度AR_in所引起的轨道效应。特别地,我们着重于它对两体距离ρ和距离变化率ρ \cdot的扰动,这两个参数在卫星和行星研究中通常被用作主要的可观测量。通过将我们的计算与太阳系中一些主要天体的当前可用距离和距离变化率残差进行比较,获得了ARin的约束条件,即1 - 2 \times 10-13 m s-2(水星和金星),1 \times 10-14 m s-2(土星),1 \times 10-15 m s-2(火星),而对于陆地林德勒加速度,我们有5 \times 10-16 m s-2(月球)。另一种可以遵循的方法包括在用相应修改的动力学模型重新处理所有可用数据集时考虑ARin,并估计明确说明它的专用求解参数。一个可能由另一位作者以这种方式进行的初步分析得出,在火星距离处A <= 8 \times 10-14 m s-2,在土星距离处A < = 1 \times 10-14 m s-2。本文所采用的方法也可以简单而直接地推广到其它的重力长期修正模型。

英文摘要:

We analytically work out the orbital effects caused by a Rindlertype extra-acceleration ARin which naturally arises in some recent models of modified gravity at large distances. In particular, we focus on the perturbations induced by it on the two-body range ρ and range-rate ρ\cdot which are commonly used in satellite and planetary investigations as primary observable quantities. The constraints obtained for ARin by comparing our calculations with the currently available range and range-rate residuals for some of the major bodies of the solar system, obtained without explicitly modeling ARin, are 1 - 2 \times 10-13 m s-2 (Mercury and Venus), 1 \times 10-14 m s-2 (Saturn), 1 \times 10-15 m s-2 (Mars), while for a terrestrial Rindler acceleration we have 5 \times 10-16 m s-2 (Moon). Another approach which could be followed consists of taking into account ARin in re-processing all the available data sets with accordingly modified dynamical models, and estimating a dedicated solve-for parameter explicitly accounting for it. Anyway, such a method is time-consuming. A preliminary analysis likely performed in such a way by a different author yields A <= 8\times10-14 m s-2 at Mars' distance and A < = 1\times10-14 m s-2 at Saturn's distance. The method adopted here can be easily and straightforwardly extended to other long-range modified models of gravity as well.

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。

↑