Publications related to the GRACE Missions (no abstracts)

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

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.

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BibTeX

@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$^{‑4}$. 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.}",
          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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