火星和框架拖曳：专门任务的研究
Mars and frame-dragging: study for a dedicated mission
摘要：
本文初步探讨了设计一个专门的星载探测任务来测量火星引力场中广义相对论引力磁Lense-Thirring效应的可能性。重点讨论了火星位势多极展开引起的系统误差及减小系统误差的可能方法，指出产生误差的主要原因是火星赤道半径R和偶次带谐函数J_L，L = 2，4，6.的绝对值。原则上，最佳解决方案包括在高海拔（\approx 9500-9600 km）和不同倾角处使用两个探头，并适当地组合它们的节点，以便完全抵消由于δR而产生的偏差。由于δJ_L，L = 2，4，6，.根据现今的MGS 95 J重力模型，在倾斜的容许值的宽范围内，将引起偏差\lesssim 1%。这两个探测器的透镜-蒂林面外位移约为10 cm/年。
英文摘要：
In this paper we preliminarily explore the possibility of designing a dedicated satellite-based mission to measure the general relativistic gravitomagnetic Lense-Thirring effect in the gravitational field of Mars. The focus is on the systematic error induced by the multipolar expansion of the areopotential and on possible strategies to reduce it. It turns out that the major sources of bias are the Mars'equatorial radius R and the even zonal harmonics J_L, L = 2,4,6... of the areopotential. An optimal solution, in principle, consists of using two probes at high-altitudes (a\approx 9500-9600 km) and different inclinations, and suitably combining their nodes in order to entirely cancel out the bias due to δR. The remaining uncancelled mismodelled terms due to δJ_L, L = 2,4,6,... would induce a bias \lesssim 1%, according to the present-day MGS95J gravity model, over a wide range of admissible values of the inclinations. The Lense-Thirring out-of-plane shifts of the two probes would amount to about 10 cm yr^-1.
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