GRACE and GRACE-FO Related Publications (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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