关于GP-B最终结果后当前拖帧检测结果的一些思考
Some considerations on the present-day results for the detection of frame-dragging after the final outcome of GP-B
摘要:
从LAGEOS和LAGEOS II节点的线性组合f(2L)中消除地球引力势的牛顿部分多极展开的第一偶纬向谐波系数J2,这是在广义相对论性的Lense-Thirring效应的最新测试中使用的,不可能是完美的,就像迄今为止所假设的那样。之所以如此,除其他外,还因为地球自转轴的空间方向的不确定性。因此,进入f(2L)的系数c1(这不是从J2引起的经典节点岁差的解析表达式理论上计算的求解参数)在多年代际时间跨度DT上的平均不确定性为10-8,与迄今为止进行的数据分析中使用的不确定性相当。因此,在理论上预测的重磁信号中出现了另外的\simeq 20%的系统不确定性。在DT = 15 d和DT = 1 yr的范围内,数值计算了重力磁标架拖曳对空间站-航天器距离的影响。需要看这样一个直接可观测的数量指出,随着一些关键的评论有关的方法,迄今为止使用的LAGEOS卫星测量的透镜-Thirring效应。提出了一种不同的,更可信和可靠的方法的建议。
英文摘要:
The cancelation of the first even zonal harmonic coefficient J2 of the multipolar expansion of the Newtonian part of the Earth's gravitational potential from the linear combination f(2L) of the nodes of LAGEOS and LAGEOS II used in the latest tests of the general relativistic Lense-Thirring effect cannot be perfect, as assumed so far. It is so, among other things, because of the uncertainties in the spatial orientation of the terrestrial spin axis as well. As a consequence, the coefficient c1 entering f(2L), which is not a solve-for parameter being theoretically computed from the analytical expressions of the classical node precessions due to J2, is, on average, uncertain at a 10-8 level over multi-decadal time spans DT comparable to those used in the data analyses performed so far. A further \simeq 20% systematic uncertainty in the theoretically predicted gravitomagnetic signal, thus, occurs. The shift due to the gravitomagnetic frame-dragging on the station-spacecraft range is numerically computed over DT = 15 d and DT = 1 yr. The need of looking at such a directly observable quantity is pointed out, along with some critical remarks concerning the methodology used so far to measure the Lense-Thirring effect with the LAGEOS satellites. Suggestions for a different, more trustable and reliable approach are offered.
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