标题： 利用一对反向轨道卫星倾角差异测量 Lens-Thirring 效应 显示英文标题

标题： Using the Difference of the Inclinations of a Pair of Counter-Orbiting Satellites to Measure the Lense-Thirring Effect

摘要： 考虑两个测试粒子A和B沿理想相同的轨道绕旋转的中心天体运动，但方向相反的情况。 从中心天体的后牛顿引力磁性和牛顿四极子场引起的轨道倾角进动的一般表达式可以得出，A和B的Lens-Thirring倾角变化率大小相等且方向相反，而由主星扁率引起的牛顿效应则相同。 因此，原则上可以通过增强广义相对论效应来抵消经典效应，从而消除两个轨道器的倾角变化差值。 研究了使这种情况发生的轨道构型所必须满足的条件以及在地球领域内可能的可观测后果。 特别是，考虑了一种涉及两颗极地轨道航天器的情景，这些航天器被称为极性相对论卫星（POLAR RELATIVITY SATELLITES，简称POLARES），这与Van Patten和Everitt在20世纪70年代中期提出的早期建议相似。 还与正在进行的使用激光大地测量卫星（LAGEOS）和激光相对论卫星（LARES）2的实验进行了比较。 显示英文摘要

摘要： Let two test particles A and B revolving about a spinning primary along ideally identical orbits in opposite directions be considered. From the general expressions of the precessions of the orbital inclination induced by the post-Newtonian gravitomagnetic and Newtonian quadrupolar fields of the central object, it turns out that the Lense-Thirring inclination rates of A and B are equal and opposite, while the Newtonian ones due to the primary's oblateness are identical. Thus, the difference of the inclination shifts of the two orbiters would allow, in principle, to cancel out the classical effects by enhancing the general relativistic ones. The conditions affecting the orbital configurations that must be satisfied for this to occur and possible observable consequences in the field of Earth are investigated. In particular, a scenario involving two spacecraft in polar orbits, branded POLAr RElativity Satellites (POLARES) and reminiscent of an earlier proposal by Van Patten and Everitt in the mid-1970s, is considered. A comparison with the ongoing experiment with the LAser GEOdynamics Satellite (LAGEOS) and LAser RElativity Satellite (LARES) 2 is made.