论文标题
在当地发现暗物质的前景以及对天王星和海王星的未来任务
Prospects for a local detection of dark matter with future missions to Uranus and Neptune
论文作者
论文摘要
我们研究了发现暗物质（DM）对前瞻性多普勒范围的轨迹的引力影响的可能性。此外，我们估计该任务可以通过使用冰巨头周围的轨道轨道测量来对这种任务提供的约束。我们采用蒙特卡洛 - 马科夫链方法来重建虚拟的航天器轨迹，以不同量的DM的简化太阳系模型。我们通过Allan偏差$σ_ {\ rm a} $表征多普勒链接上的噪声，以$σ^{\ rm {cass}} _ {\ rm a} = 3 \ times 10^{ - 15} $。此外，我们比较了天王星和海王星的前瞻性额外额外测量的精确度与模拟的预期速率，在对逆平方法的修改背景下。我们估计，前瞻性任务将对$ρ_{\ rm {dm}}} \ sim 9 \ sim 9 \ times 10^{ - 20} \，（σ__{\ rm a}/σ___ {\ rm a} {\ rm a}^$ rm a} $ rm a} = 30 $1σ$以$ρ_{\ rm {dm}}} \ SIM 5 \ times 10^{ - 22} $ kg/m $^3 $减少为$ 1.0 \ times 10^{ - 20^{ - 20} \，（σ__________{\ rm a}/= {\ rm， a}）^{0.8} $ kg/m $^3 $。从基线的allan偏差改善了两到三个数量级，可以确保局部检测DM。仅需要噪声范围的适度降低，以排除Milgrom在基于太阳系的观测值中的插值功能，并改善限制的重力质量超出了当前的局部或重力波测量值。我们的分析还强调了未来范围任务的潜力，以改善太阳系中标准重力参数的测量。
We investigate the possibility of detecting the gravitational influence of dark matter (DM) on the trajectory of prospective Doppler ranging missions to Uranus and Neptune. In addition, we estimate the constraints such a mission can provide on modified and massive gravity theories via extra-precession measurements using orbiters around the ice giants. We employ Monte Carlo-Markov Chain methods to reconstruct fictitious spacecraft trajectories in a simplified solar system model with varying amounts of DM. We characterise the noise on the Doppler link by the Allan deviation $σ_{\rm A}$, scaled on the Cassini-era value of $σ^{\rm{Cass}}_{\rm A}= 3 \times 10^{-15}$. Additionally, we compare the precision of prospective extra-precession measurements of Uranus and Neptune with the expected rates from simulations, in the context of modifications to the inverse square law. We estimate that the prospective mission will be sensitive to DM densities of the order of $ρ_{\rm{DM}} \sim 9 \times 10^{-20} \, (σ_{\rm A}/σ_{\rm A}^{\rm{Cass}}) $ kg/m$^3$, while the $1σ$ bound on the expected galactic density of $ρ_{\rm{DM}} \sim 5 \times 10^{-22}$ kg/m$^3$ decreases as $1.0 \times 10^{-20} \, (σ_{\rm A}/σ^{\rm{Cass}}_{\rm A})^{0.8}$ kg/m$^3$. An improvement of two to three orders of magnitude from the baseline Allan deviation would guarantee a local detection of DM. Only a moderate reduction in ranging noise is required to rule out Milgrom's interpolating function with solar system based observations, and improve constraints the graviton mass beyond current local- or gravitational wave-based measurements. Our analysis also highlights the potential of future ranging missions to improve measurements of the standard gravitational parameters in the solar system.
