Relativistic framework for high-precision GNSS processing in GCRS/BCRS with extension to cislunar space
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917195556061184 |
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| author | Turyshev, Slava G. Bar-Sever, Yoaz E. Bertiger, William I. |
| author_facet | Turyshev, Slava G. Bar-Sever, Yoaz E. Bertiger, William I. |
| contents | We present an implementation-oriented relativistic modeling framework for high-precision GNSS processing consistent with the IAU-adopted Barycentric and Geocentric Celestial Reference Systems (BCRS/GCRS) and their associated time scales (TCB/TDB and TCG/TT). We derive explicit ${\cal O}(c^{-2})$ transformations for position, velocity, and acceleration between TT-compatible GCRS quantities and TDB-compatible BCRS quantities, and provide screened operational forms with conservative remainder bounds that quantify truncation errors in sub-centimeter orbit modeling and retain the term order required by $10^{-16}$-class fractional-frequency transfer. We implement a BCRS-native processing option in JPL's GipsyX and validate it via a 24~h round-trip GCRS$\rightarrow$BCRS propagation-and-transform closure test at the few-mm level, demonstrating internal consistency of the dynamical model and the state transformations. To support emerging Earth-Moon applications, we define a Lunicentric Celestial Reference System (LCRS), its coordinate time (TCL), and a scaled lunar-surface time (TL), and specify a minimal near-rectilinear halo orbit (NRHO)-like regression test that exercises the BCRS$\leftrightarrow$LCRS transformation chain together with the 1PN barycentric light-time model. End-to-end cislunar navigation performance additionally depends on signal availability and estimation strategy; the present work provides the relativistic reference-frame and time-transfer infrastructure needed to model observables at the centimeter and tens-of-picoseconds level. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12058 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relativistic framework for high-precision GNSS processing in GCRS/BCRS with extension to cislunar space Turyshev, Slava G. Bar-Sever, Yoaz E. Bertiger, William I. General Relativity and Quantum Cosmology We present an implementation-oriented relativistic modeling framework for high-precision GNSS processing consistent with the IAU-adopted Barycentric and Geocentric Celestial Reference Systems (BCRS/GCRS) and their associated time scales (TCB/TDB and TCG/TT). We derive explicit ${\cal O}(c^{-2})$ transformations for position, velocity, and acceleration between TT-compatible GCRS quantities and TDB-compatible BCRS quantities, and provide screened operational forms with conservative remainder bounds that quantify truncation errors in sub-centimeter orbit modeling and retain the term order required by $10^{-16}$-class fractional-frequency transfer. We implement a BCRS-native processing option in JPL's GipsyX and validate it via a 24~h round-trip GCRS$\rightarrow$BCRS propagation-and-transform closure test at the few-mm level, demonstrating internal consistency of the dynamical model and the state transformations. To support emerging Earth-Moon applications, we define a Lunicentric Celestial Reference System (LCRS), its coordinate time (TCL), and a scaled lunar-surface time (TL), and specify a minimal near-rectilinear halo orbit (NRHO)-like regression test that exercises the BCRS$\leftrightarrow$LCRS transformation chain together with the 1PN barycentric light-time model. End-to-end cislunar navigation performance additionally depends on signal availability and estimation strategy; the present work provides the relativistic reference-frame and time-transfer infrastructure needed to model observables at the centimeter and tens-of-picoseconds level. |
| title | Relativistic framework for high-precision GNSS processing in GCRS/BCRS with extension to cislunar space |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2511.12058 |