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Dong, Jin-Zhuang, Huang, Wei-Sheng, Qin, Cheng-Gang, Tan, Yu-Jie, and Shao, Cheng-Gang, 2024. Model on picometer-level light gravitational delay in the GRACE Follow-On-like missions. Chinese Physics B, 33(11):110401, doi:10.1088/1674-1056/ad7af9.
• from the NASA Astrophysics Data System • by the DOI System •
@ARTICLE{2024ChPhB..33k0401D, author = {{Dong}, Jin-Zhuang and {Huang}, Wei-Sheng and {Qin}, Cheng-Gang and {Tan}, Yu-Jie and {Shao}, Cheng-Gang}, title = "{Model on picometer-level light gravitational delay in the GRACE Follow-On-like missions}", journal = {Chinese Physics B}, keywords = {classical general relativity, post-Newtonian approximation, phase shifting interferometry, 04.20.-q, 04.25.Nx, 42.87.Bg}, year = 2024, month = oct, volume = {33}, number = {11}, eid = {110401}, pages = {110401}, abstract = "{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$^{â4}$. 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$^{â4}$-order gravitational delays and coupling of Shapiro and beat frequency, which may be non-negligible for higher precision laser ranging in the future.}", doi = {10.1088/1674-1056/ad7af9}, adsurl = {https://ui.adsabs.harvard.edu/abs/2024ChPhB..33k0401D}, adsnote = {Provided by the SAO/NASA Astrophysics Data System} }
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