对太阳系暗物质的限制
Constraints on Dark Matter in the Solar System
摘要：
我们已经搜索并估计了暗物质在太阳系中可能的引力影响，基于EPM2011行星星历表，使用约67.7万个行星和航天器的位置观测。大多数观测属于当今的测距测量。我们对离太阳不同距离处的暗物质密度和质量的估计通常会被他们的误差（$σ$）所覆盖。这表明，暗物质$ρ_{dm}$的密度，如果存在的话，是非常低的，比目前实现的这些参数的误差小得多。我们发现，在土星轨道距离处，$ρ_{dm}$小于$1.1\cdot10^{-20}$ g cm $^{-3}$，在火星轨道距离处小于$ρ_{dm}<1.4\cdot10^{-20}$ g cm $^{-3}$，在地球轨道距离处小于$ρ_{dm}<1.4\cdot10^{-19}$ g cm $^{-3}$。我们还考虑了暗物质可能集中在太阳系中心的情况。土星轨道内球体中的暗物质质量应该小于$1.7\cdot10^{-10} M_{\odot}$，即使考虑到它可能的浓度。
英文摘要：
We have searched for and estimated the possible gravitational influence of dark matter in the Solar system based on the EPM2011 planetary ephemerides using about 677 thousand positional observations of planets and spacecraft. Most of the observations belong to present-day ranging measurements. Our estimates of the dark matter density and mass at various distances from the Sun are generally overridden by their errors ($σ$). This suggests that the density of dark matter $ρ_{dm}$, if present, is very low and is much less than the currently achieved error of these parameters. We have found that $ρ_{dm}$ is less than $1.1\cdot10^{-20}$ g cm$^{-3}$ at the orbital distance of Saturn, $ρ_{dm}<1.4\cdot10^{-20}$ g cm$^{-3}$ at the orbital distance of Mars, and $ρ_{dm}<1.4\cdot10^{-19}$ g cm$^{-3}$ at the orbital distance of the Earth. We also have considered the case of a possible concentration of dark matter to the Solar system center. The dark matter mass in the sphere within Saturn's orbit should be less than $1.7\cdot10^{-10} M_{\odot}$ even if its possible concentration is taken into account.
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