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首页> 外文期刊>Journal of geophysical research. Planets >High-degree gravity models from GRAIL primary mission data
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High-degree gravity models from GRAIL primary mission data

机译：来自GRAIL主要任务数据的高重力模型

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We have analyzed Ka-band range rate (KBRR) and Deep Space Network (DSN) data from the Gravity Recovery and Interior Laboratory (GRAIL) primary mission (1 March to 29 May 2012) to derive gravity models of the Moon to degree 420, 540, and 660 in spherical harmonics. For these models, GRGM420A, GRGM540A, and GRGM660PRIM, a Kaula constraint was applied only beyond degree 330. Variance-component estimation (VCE) was used to adjust the a priori weights and obtain a calibrated error covariance. The global root-mean-square error in the gravity anomalies computed from the error covariance to 320×320 is 0.77 mGal, compared to 29.0 mGal with the pre-GRAIL model derived with the SELENE mission data, SGM150J, only to 140×140. The global correlations with the Lunar Orbiter Laser Altimeter-derived topography are larger than 0.985 between ?=120 and 330. The free-air gravity anomalies, especially over the lunar farside, display a dramatic increase in detail compared to the pre-GRAIL models (SGM150J and LP150Q) and, through degree 320, are free of the orbit-track-related artifacts present in the earlier models. For GRAIL, we obtain an a posteriori fit to the S-band DSN data of 0.13 mm/s. The a posteriori fits to the KBRR data range from 0.08 to 1.5 μm/s for GRGM420A and from 0.03 to 0.06 μm/s for GRGM660PRIM. Using the GRAIL data, we obtain solutions for the degree 2 Love numbers, k_(20)=0.024615±0.0000914, k_(21)=0.023915±0.0000132, and k_(22)=0.024852±0. 0000167, and a preliminary solution for the k_(30) Love number of k_(30)=0.00734±0.0015, where the Love number error sigmas are those obtained with VCE.
机译：我们分析了重力恢复和室内实验室（GRAIL）的主要任务（2012年3月1日至5月29日）的Ka波段测距率（KBRR）和深空网（DSN）数据，得出了420度的月球重力模型， 540和660的球形谐波。对于GRGM420A，GRGM540A和GRGM660PRIM这些模型，仅对330度以上应用了Kaula约束。方差分量估计（VCE）用于调整先验权重并获得校准的误差协方差。根据对320×320的误差协方差计算出的重力异常的全局均方根误差为0.77 mGal，而使用SELENE任务数据SGM150J得出的pre-GRAIL模型的总均方根误差仅为29.0 mGal，仅为140×140。与月球轨道器激光高度计派生的地形之间的全局相关性在？= 120和330之间大于0.985。与GRAIL之前的模型相比，自由空气重力异常（尤其是在月球远侧的异常）显示出显着的细节增加（ SGM150J和LP150Q，直到320度，都没有早期模型中存在的与轨道相关的伪像。对于GRAIL，我们获得了0.13 mm / s的S波段DSN数据的后验拟合。对于GRGM420A，后验拟合的KBRR数据范围为0.08至1.5μm/ s，对于GRGM660PRIM，其后验拟合为0.03至0.06μm/ s。使用GRAIL数据，我们获得了2级洛夫数的解，即k_（20）= 0.024615±0.0000914，k_（21）= 0.023915±0.0000132和k_（22）= 0.024852±0。 0000167，以及k_（30）Love数k_（30）= 0.00734±0.0015的初步解，其中Love数误差sigma是通过VCE获得的。

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