Model on picometer-level light gravitational delay in the GRACE Follow-On-like missions  

作　　者：Jin-Zhuang Dong Wei-Sheng Huang Cheng-Gang Qin Yu-Jie Tan Cheng-Gang Shao 董金壮;黄玮圣;秦成刚;谈玉杰;邵成刚(MOE Key Laboratory of Fundamental Physical Quantities Measurement & Hubei Key Laboratory of Gravitation and Quantum Physics,PGMF and School of Physics,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区：[1]MOE Key Laboratory of Fundamental Physical Quantities Measurement & Hubei Key Laboratory of Gravitation and Quantum Physics,PGMF and School of Physics,Huazhong University of Science and Technology,Wuhan 430074,China

出　　处：《Chinese Physics B》2024年第11期82-93,共12页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.12247150,12305062,12175076,and 11925503);the Post-doctoral Science Foundation of China(Grant No.2022M721257);the Guangdong Major Project of Basic and Applied Basic Research(Grant No.2019B030302001).

摘　　要：Laser interferometry plays a crucial role in laser ranging for high-precision space missions such as GRACE(Gravity Recovery and Climate Experiment)Follow-On-like missions and gravitational wave detectors.For such accuracy of modern space missions,a precise relativistic model of light propagation is required.With the post-Newtonian approximation,we utilize the Synge world function method to study the light propagation in the Earth’s gravitational field,deriving the gravitational delays up to order c^(−4).Then,we investigate the influences of gravitational delays in three inter-satellite laser ranging techniques,including one-way ranging,dual one-way ranging,and transponder-based ranging.By combining the parameters of Kepler orbit,the gravitational delays are expanded up to the order of e^(2)(e is the orbital eccentricity).Finally,considering the GRACE Follow-On-like missions,we estimate the gravitational delays to the level of picometer.The results demonstrate some high-order gravitational and coupling effects,such as c^(−4)-order gravitational delays and coupling of Shapiro and beat frequency,which may be non-negligible for higher precision laser ranging in the future.

关 键 词：classical general relativity post-Newtonian approximation phase shifting interferometry 

分 类 号：TN249[电子电信—物理电子学]