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arXiv 1608.01360astro-ph.EPphysics.geo-ph
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从MESSENGER无线电科学数据看水星的重力、潮汐和自转

Mercury's gravity, tides, and spin from MESSENGER radio science data

Ashok Kumar Verma, Jean-Luc Margot

摘要:

我们分析了2011年3月至2014年4月期间信使号飞船1311次轨道运行期间获得的无线电跟踪数据。最小二乘最小化的残差之间的观测值和计算值的双向范围和多普勒允许我们解决一个模型描述水星的重力,潮汐响应,和自旋状态。我们使用的重力场的球谐函数表示的程度和顺序40和报告的误差条对应于10倍的正式不确定性的拟合。我们对水星质量和引力常量乘积的估计,$GM = (22031.87404 \pm 9 \times 10^{-4})$ km $^{3}$ s $^{-2}$,与已发表的结果非常吻合。我们的解决方案的重要性的二度系数($\bar{C}_{2,0} = -2.25100 \times 10^{-5} \pm 1.3 \times 10^{-9}$,$\bar{C}_{2,2} = 1.24973 \times 10^{-5} \pm 1.2 \times 10^{-9}$)证实以前的估计优于0.4\%,因此,推断水星的转动惯量和内部结构。我们对潮汐勒夫数$k_2 = 0.464 \pm 0.023$的估计表明,水星的地幔可能比以前认为的更热,更弱。我们的自旋状态的解决方案表明,水星的自旋轴方向的重力为基础的估计是勉强符合以前的地壳方向的测量。

英文摘要:

We analyze radio tracking data obtained during 1311 orbits of the MESSENGER spacecraft in the period March 2011 to April 2014. A least-squares minimization of the residuals between observed and computed values of two-way range and Doppler allows us to solve for a model describing Mercury's gravity, tidal response, and spin state. We use a spherical harmonic representation of the gravity field to degree and order 40 and report error bars corresponding to 10 times the formal uncertainties of the fit. Our estimate of the product of Mercury's mass and the gravitational constant, $GM = (22031.87404 \pm 9 \times 10^{-4})$ km$^{3}$s$^{-2}$, is in excellent agreement with published results. Our solution for the geophysically important second-degree coefficients ($\bar{C}_{2,0} = -2.25100 \times 10^{-5} \pm 1.3 \times 10^{-9}$, $\bar{C}_{2,2} = 1.24973 \times 10^{-5} \pm 1.2 \times 10^{-9}$) confirms previous estimates to better than 0.4\% and, therefore, inferences about Mercury's moment of inertia and interior structure. Our estimate of the tidal Love number $k_2 = 0.464 \pm 0.023$ indicates that Mercury's mantle may be hotter and weaker than previously thought. Our spin state solution suggests that gravity-based estimates of Mercury's spin axis orientation are marginally consistent with previous measurements of the orientation of the crust.

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