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太阳系天体地面VLBI观测的相对论时延模型
引用本文:张捍卫,郑勇,杜兰.太阳系天体地面VLBI观测的相对论时延模型[J].天文学报,2003,44(1):28-36.
作者姓名:张捍卫  郑勇  杜兰
作者单位:1. 中国科学院测量与地球物理研究所,武汉,430077
2. 郑州信息工程大学测绘学院大地系,郑州,450052
基金项目:国家自然科学基金(40174002),国家杰出青年科学基金嘉奖(40125013)资助
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.

关 键 词:太阳系  天体  地面VLBI观测  质心参考系  非旋转地球质心参考系  坐标转换  相对论时间延迟模型
修稿时间:2002年5月20日

Ground-based VLBI Relativistic Time Delay Model for Spacecrafts in Solar System
ZHANG Han-Wei ZHENG Yong DU Lan.Ground-based VLBI Relativistic Time Delay Model for Spacecrafts in Solar System[J].Acta Astronomica Sinica,2003,44(1):28-36.
Authors:ZHANG Han-Wei ZHENG Yong DU Lan
Abstract: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.
Keywords:Solar System: general  Relativity  Time Delay  VLBI
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