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TEMPUS:任意星历表下太阳系天体的相对论坐标时间尺度

TEMPUS: Relativistic coordinate time scales for any solar-system body from arbitrary ephemerides

Yan Seyffert, Agnès Fienga

arXiv 2609.08979首次发表:更新:

发表机构

Observatoire de la Côte d’Azur, Université Côte d’Azur, CNRS, Géoazur, IRD(蔚蓝海岸观测台,蔚蓝海岸大学,法国国家科学研究中心,地球、海洋和行星科学实验室,法国海外研究署)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

TEMPUS是一种工具,利用任意历表数值积分IAU 2000时间转换,为任何太阳系天体提供经过验证的、与历表无关的后牛顿坐标时间尺度转换,精度达10^-21 s/s。

AI 中文摘要

太阳系天体之间的精确时间尺度转换是深空科学和太阳系导航的基本要求。将天体中心坐标时TCX与质心坐标时TCB联系起来的后牛顿相对论表达式依赖于目标天体的引力环境和速度,并且必须与所选的行星历表一致地评估。到目前为止,只有INPOP在其历表发布中提供了这样的解决方案,尽管仅针对地球提供了TCG-TCB。我们提出了TEMPUS,一种利用任意历表的位置和速度对任何太阳系天体进行IAU 2000时间转换数值积分的工具。我们提供了一个经过验证的、与历表无关的TCX-TCB实现,并针对已发表的独立解决方案评估其精度。速率d TCX/d TCB使用Adams-Moulton 12阶预测-校正器进行积分。这里测试的引力势总和包括太阳、八颗行星、冥王星、多达343颗主带小行星和30颗海王星外天体。输出可以存储为可读格式的采样值表或切比雪夫系数文件。与德累斯顿工业大学的Klioner时间解、INPOP19a和INPOP21a提供的TCG-TCB解以及LTE440月球解进行了比较。对于行星天体,TEMPUS在200年内与Klioner在10^-21 s/s水平上一致。与INPOP19a发布的TCG-TCB相比,我们也达到了相同的水平。主带小行星以及海王星外天体在10^-18 s/s水平上移动行星时间尺度,而行星和月球历表的选择也贡献了10^-18 s/s水平的差异。TEMPUS为任何太阳系天体提供了经过验证的、与历表无关的后牛顿时间转换。

英文摘要

Precise time-scale transformations between solar-system bodies are an essential requirement for deep-space science and solar system navigation. The post-Newtonian relativistic expression relating a body-centered coordinate time TCX to the Barycentric Coordinate Time TCB depends on the gravitational environment and velocity of the target body, and must be evaluated consistently with the chosen planetary ephemerides. So far only INPOP has provided such a solution as part of its ephemerides releases, albeit only for Earth with TCG-TCB. We present TEMPUS, a tool that numerically integrates the IAU 2000 time-transformation for any solar-system body using positions and velocities from an arbitrary ephemerides. We provide a validated, ephemerides-agnostic implementation of TCX-TCB and assess its accuracy against published independent solutions. The rate $d\,\mathrm{TCX}/d\,\mathrm{TCB}$ is integrated with an Adams-Moulton order-12 predictor-corrector. The gravitational potential sum tested here includes the Sun, eight planets, Pluto, up to 343 main-belt asteroids, and 30 trans-Neptunian objects. Outputs can be stored in readable format tables of sampled values or as Chebyshev coefficient files. Comparisons are performed against the TU Dresden Klioner time solutions, the TCG-TCB solution provided with INPOP19a and INPOP21a, and the LTE440 lunar solution. For the planetary bodies TEMPUS agrees with Klioner at the $10^{-21} s\,s^{-1}$ level over 200 yr. Against the INPOP19a released TCG-TCB we also agree to the same level. The main-belt asteroids as well as the trans-Neptunian objects shift the planetary time scales at the $10^{-18} s\,s^{-1}$ level, and the choice of planetary and lunar ephemerides contributes differences on the $10^{-18} s\,s^{-1}$ level as well. TEMPUS provides a validated, ephemeris-agnostic post-Newtonian time-transformation for any solar-system body.

Comments10 pages, 3 tables, 3 figures

论文原文

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