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太阳系天体地面VLBI观测的相对论时延模型 被引量:1

Ground-based VLBI Relativistic Time Delay Model for Spacecrafts in Solar System
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摘要 以太阳系质心参考系为基础,根据太阳系的质心参考系和非旋转地球质心参考系的坐标转换关系,推导了太阳系天体地面VLBI观测的相对论时间延迟模型,给出了一个通用的解析表达式。根据这一公式可以得到平劲松博士所采用的公式,以及当地心与源的距离无限大时,可得河外射电源VLBI观测的Zhu-Groten模型、Shapiro模型和IERS(92,96)推荐模型。所推导的公式严格解析且无误差,在实际应用中建议采用这一公式。同时详细地讨论了所推导公式的实用范围和各种舍掉项的量级估计,并详细给出了时间延迟理论模型的计算步骤。 The ground VLBI relativistic time delay model for spacecraft in the solar system is derived, first in the barycentric reference system and then transferred to the non-spinning geocentric reference system. A universal analyzed expression is presented, from which another model given by Ping Jinsong can be obtained. It is also pointed that several models for extra-galactic sources are available from the formula such as Zhu-Groten , Shapiro and IERS(92,96) recommended models if the geocentric distances of the sources become infinite large. Adopting the formula given here is recommended in processing VLBI observable due to its rigorousness and errors-free. The using limitation of the formula and estimation in magnitude for various neglecting items as well as the computation steps in details are also discussed.
出处 《天文学报》 CSCD 北大核心 2003年第1期28-36,共9页 Acta Astronomica Sinica
基金 国家自然科学基金(40174002) 国家杰出青年科学基金嘉奖(40125013)资助
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