地球动力学

IF 1 Q3 GEOCHEMISTRY & GEOPHYSICS
A. Marchenko, S. Perii, O. Lompas, Y. I. Golubinka, D. A. Marchenko, S. Kramarenko, Abdulwasiu Salawu
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引用次数: 3

摘要

本研究旨在根据UT/CSR数据中的动态椭圆率系数,推导出地球随时间变化的地球惯性张量。它们可以找到以下时期随时间变化的地球力学和几何参数:(a)1976年至2020年,基于系数的月度和每周解;(b) 从1992年到2020年,基于与惯性主轴相关的非零系数的月度和每周解,可以建立其长期变化的模型。不同系统中给出的和之间的差异表示平均值,该平均值小于或的时间变化,表征了UT/CSR解决方案的高质量。利用过去44年和27.5年中纬向系数的长期变化,建立了两个随时间变化的动态椭圆率模型。根据IAU2000/2006岁差章动理论,通过对泰勒级数的每个参数的附加估计,在历元=J2000时,给出了含时动力椭圆率的近似公式。根据麦克斯韦理论,利用含时引力四极的势,通过两个四极轴的位置,导出了主轴取向的新的精确公式。因此,在1992年至2020年的过去27.5年中,地球的时间相关机械和几何参数,包括引力四极、主轴和主惯性矩,都是在每一时刻计算出来的。然而,它们在所有考虑的参数中的线性变化相当不清楚,因为它们在不同时间间隔上的各种行为,包括由于1998-2002年期间时间序列的跳跃而引起的考虑效应的符号变化。地球的三维和一维密度模型是基于旋转椭球内三维笛卡尔矩的有限解构建的。它们是在保持从零到二度的时间相关引力势、动力学椭圆率、极性平坦化、PREM模型采样的密度的基本径向跳跃以及时空质量密度分布的长期变化的条件下导出的。需要注意的是,在求解逆问题时,地球惯性张量的时间依赖性是由于地球密度的变化而产生的,但并不取决于其形状的变化,这一点通过消除平坦化的相应方程得到了证实。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
GEODYNAMICS
This study aims to derive the Earth’s temporally varying Earth’s tensor of inertia based on the dynamical ellipticity , the coefficients , from UT/CSR data. They allow to find the time-varying Earth’s mechanical and geometrical parameters during the following periods: (a) from 1976 to 2020 based on monthly and weekly solutions of the coefficient ; (b) from 1992 to 2020 based on monthly and weekly solutions of the non zero coefficients , related to the principal axes of inertia, allowing to build models their long-term variations. Differences between and , given in various systems, represent the average value , which is smaller than time variations of or , characterizing a high quality of UT/CSR solutions. Two models for the time-dependent dynamical ellipticity were constructed using long-term variations for the zonal coefficient during the past 44 and 27.5 years. The approximate formulas for the time-dependent dynamical ellipticity were provided by the additional estimation of each parameter of the Taylor series, fixing at epoch =J2000 according to the IAU2000/2006 precession-nutation theory. The potential of the time-dependent gravitational quadrupole according to Maxwell theory was used to derive the new exact formulas for the orientation of the principal axes , , via location of the two quadrupole axes. Hence, the Earth’s time-dependent mechanical and geometrical parameters, including the gravitational quadrupole, the principal axes and the principal moments of inertia were computed at each moment during the past 27.5 years from 1992 to 2020. However, their linear change in all the considered parameters is rather unclear because of their various behavior on different time-intervals including variations of a sign of the considered effects due to a jump in the time-series during the time-period 1998 – 2002. The Earth’s 3D and 1D density models were constructed based on the restricted solution of the 3D Cartesian moments inside the ellipsoid of the revolution. They were derived with conditions to conserve the time-dependent gravitational potential from zero to second degree, the dynamical ellipticity, the polar flattening, basic radial jumps of density as sampled for the PREM model, and the long-term variations in space-time mass density distribution. It is important to note that in solving the inverse problem, the time dependence in the Earth's inertia tensor arises due to changes in the Earth's density, but does not depend on changes in its shape, which is confirmed by the corresponding equations where flattening is canceled.
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来源期刊
Geodynamics
Geodynamics GEOCHEMISTRY & GEOPHYSICS-
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33.30%
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11
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