地球自转中大地岁差的一致性模拟
Consistent modeling of the geodetic precession in Earth rotation
摘要:
一个高精度的刚体地球运动模型对于从观测中揭示地球自转的非刚性效应是必不可少的。为了满足1微弧秒(μ as)的地球自转现代理论的精度目标,很明显,对于这样的模型,相对论效应也必须考虑在内。其中最大的影响是所谓的大地岁差。在本文中,我们将描述这种影响和标准程序,以处理它在模拟地球自转到现在。利用我们的地球自转的相对论模型,我们能够在广义相对论的框架下,对刚性地球的自转运动给出一个一致的后牛顿处理。利用这个模型,我们表明,目前应用的标准处理大地岁差是不正确的。标准处理方法的不一致导致了所有现代地球自转理论的错误,其幅度高达200 μ as,持续时间长达一个世纪。
英文摘要:
A highly precise model for the motion of a rigid Earth is indispensable to reveal the effects of non-rigidity in the rotation of the Earth from observations. To meet the accuracy goal of modern theories of Earth rotation of 1 microarcsecond (muas) it is clear, that for such a model also relativistic effects have to be taken into account. The largest of these effects is the so called geodetic precession. In this paper we will describe this effect and the standard procedure to deal with it in modeling Earth rotation up to now. With our relativistic model of Earth rotation Klioner et al. (2001) we are able to give a consistent post-Newtonian treatment of the rotational motion of a rigid Earth in the framework of General Relativity. Using this model we show that the currently applied standard treatment of geodetic precession is not correct. The inconsistency of the standard treatment leads to errors in all modern theories of Earth rotation with a magnitude of up to 200 muas for a time span of one century.
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