论文标题
对火星旋转的相对论贡献
Relativistic contributions to Mars rotation
论文作者
论文摘要
上下文：可以通过一组欧拉角描述的火星的方向和旋转从放射科学数据估算，然后用于推断火星内部特性。使用Barycentric Celestial参考系统（BCR）中表达的建模分析数据。 目的：我们提供了对要校正的相对论校正的估计，以避免误解数据的误解。 方法：火星旋转和方向有两种类型的相对论贡献：（i）那些直接影响欧拉角的贡献，以及（ii）那些是由当地火星参考框架和BCR之间的时间转换产生的。前者本质上对应于大地效应。我们计算他们假设火星在开普勒轨道上演变。至于后者，我们计算时间转化的效果，并比较使用近世代层所描述的逼真的轨道获得的旋转角校正。 结果：经度的相对论校正主要来自大地测量效应，并导致大地训练（6.754Mas/yr）和大地年度营养（0.565 MAS振幅）。对于旋转角度，校正由时间转化的影响主导。主要的年度，半年度和年度术语的幅度分别为166.954 MAS，7.783 MAS和0.544MAS。年度学期的幅度与社区通常考虑的估计值大约9个MAS不同。我们在Mars-Jupiter和Mars-Saturn的会议期（0.567 MAS和0.102 MAS振幅）上确定了新术语，这些术语是考虑到当前测量值的当前不确定性水平以及对旋转率的贡献（7.3088 MAS/DAY）的相关术语。没有适用于倾斜的显着校正。
Context: The orientation and rotation of Mars, which can be described by a set of Euler angles, is estimated from radioscience data and is then used to infer Mars internal properties. The data are analyzed using a modeling expressed within the Barycentric Celestial Reference System (BCRS). Aims: We provide new and more accurate (to the $0.1$ mas level) estimations of the relativistic corrections to be included in the BCRS model of the orientation and rotation of Mars to avoid a misinterpretation of the data. Methods: There are two types of relativistic contributions in Mars rotation and orientation: (i) those that directly impact the Euler angles and (ii) those resulting from the time transformation between a local Mars reference frame and BCRS. The former correspond essentially to the geodetic effect. We compute them assuming that Mars evolves on a Keplerian orbit. As for the latter, we compute the effect of the time transformation and compare the rotation angle corrections obtained using realistic orbits as described by ephemerides. Results: The relativistic correction in longitude comes mainly from the geodetic effect and results in the geodetic precession (6.754mas/yr) and the geodetic annual nutation (0.565 mas amplitude). For the rotation angle, the correction is dominated by the effect of the time transformation. The main annual, semi-annual, and ter-annual terms have amplitudes of 166.954 mas, 7.783 mas, and 0.544mas, respectively. The amplitude of the annual term differs by about 9 mas from the estimate usually considered by the community. We identify new terms at the Mars-Jupiter and Mars-Saturn synodic periods (0.567 mas and 0.102 mas amplitude) that are relevant considering the current level of uncertainty of the measurements, as well as a contribution to the rotation rate (7.3088 mas/day). There is no significant correction that applies to the obliquity.
