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THE LENSE-THIRRING EFFECT IN THE ANOMALISTIC PERIOD OF CELESTIAL BODIES

机译:身材异常时期的长寿效应

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In the weak field and slow motion approximation, the general relativistic field equations are linearized, resembling those of the electromagnetic theory. In a way analogous to that of a moving charge generating a magnetic field, a mass-energy current can produce a gravitomagnetic field. In this contribution, the motion of a secondary celestial body is studied under the influence of the gravitomagnetic force generated by a spherical primary. More specifically, two equations are derived to approximate the periastron time rate of change and its total variation over one revolution (i.e., the difference between the anomalistic period and the Keplerian period). Kinematically, this influence results to an apsidal motion. The aforementioned quantities are numerically estimated for Mercury, the companion star of the pulsar PSR 1913+16, the companion planet of the star HD 80606 and the artificial Earth satellite GRACE-A. The case of the artificial Earth satellite GRACE-A is also considered, but the results present a low degree of reliability from a practical standpoint.
机译:在弱场和慢动作逼近中,一般的相对论场方程被线性化,类似于电磁理论的方程。以类似于产生磁场的运动电荷的方式,质量能电流可以产生重力磁场。在这一贡献中,研究了次级天体的运动,该运动是在球形初级物产生的重力的影响下进行的。更具体地,导出两个方程式以近似于周转时间变化率及其在一转中的总变化(即,异常时期与开普勒时期之间的差)。运动学上,这种影响导致运动。上述量是针对水星,脉冲星PSR 1913 + 16的伴星,HD 80606伴星和人造地球卫星GRACE-A进行数值估算的。还考虑了人造地球卫星GRACE-A的情况,但是从实际的角度来看,结果显示出较低的可靠性。

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