On changes in the trace of the Earth's inertia tensor

On changes in the trace of the Earth's inertia tensor
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DOI:
10.1029/jb079i032p04948
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发表时间:
1974-11
影响因子:
--
通讯作者:
M. Rochester;D. E. Smylie
M. Rochester;D. E. Smylie
中科院分区:
--
文献类型:
--
作者:
M. Rochester;D. E. Smylie

文献摘要

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本文推广了达尔文关于Tr的形变不变性的一个定理|地球惯性张量的迹线,并澄清了地球物理学文献中关于这一主题的一些模糊之处。通过结合Tr变化的可能性,|利用Lambeck和Cazenave(1973 a)关于大气风对日长季节变化的贡献的结果,我们(1)将Nordtvedt和Will(1972)关于引力"常数" G在地球轨道上的空间梯度的上限减小3倍,这是由引力优选框架理论预测的,(2)发现Kozai(1970)推导的位势季节变化太大了一个数量级。
We extend a theorem by Darwin on the deformation invariance of Tr |, the trace of the earth's inertia tensor, and clarify some obscure points in the geophysical literature on the subject. By combining the possibility of changes in Tr | with results obtained by Lambeck and Cazenave (1973a) on the contribution of atmospheric winds to seasonal variations in the length of day, we (1) reduce by a factor of 3 Nordtvedt and Will's (1972) upper limit on the spatial gradient of the gravitational ‘constant’ G across the earth's orbit, predicted by preferred frame theories of gravitation, and (2) find that the seasonal changes in the geopotential, deduced by Kozai (1970), are an order of magnitude too large.