{"title":"Jacobi’s solution for geodesics on a triaxial ellipsoid","authors":"Charles F. F. Karney","doi":"10.1007/s00190-026-02030-3","DOIUrl":"https://doi.org/10.1007/s00190-026-02030-3","url":null,"abstract":"On Boxing Day, 1838, Jacobi found a solution to the problem of geodesics on a triaxial ellipsoid, with the course of the geodesic and the distance along it given in terms of one-dimensional integrals. Here, a numerical implementation of this solution is described. This entails accurately evaluating the integrals and solving the resulting coupled system of equations. The inverse problem, finding the shortest path between two points on the ellipsoid, can then be solved using a similar method as for biaxial ellipsoids.","PeriodicalId":54822,"journal":{"name":"Journal of Geodesy","volume":"94 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2026-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146205318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"DTRF2020: The ITRS 2020 realization of DGFI-TUM","authors":"Manuela Seitz, Mathis Bloßfeld, Matthias Glomsda, Detlef Angermann, Sergei Rudenko, Julian Zeitlhöfler, Florian Seitz","doi":"10.1007/s00190-026-02032-1","DOIUrl":"https://doi.org/10.1007/s00190-026-02032-1","url":null,"abstract":"DTRF2020 is the latest realization of the International Terrestrial Reference System (ITRS) by DGFI-TUM and is based on the same input data as ITRF2020. It is generated using the DGFI-TUM two-step combination approach, combining cumulative normal equations from the individual techniques GNSS, SLR, VLBI and DORIS. DTRF2020 introduces three key innovations: (1) it is the first secular ITRS realization with scale determined jointly from VLBI and GNSS; (2) it applies non-tidal loading corrections from atmospheric, oceanic, and hydrological models; and (3) it models post-seismic deformation using logarithmic and exponential functions. In addition to SINEX and EOP files, DTRF2020 provides all information required to compute instantaneous station positions: non-tidal loading reductions, post-seismic deformation models, residual and translations time series. Non-tidal loading corrections reduce GNSS height RMS for 99% of stations and significantly decrease annual signals in translation and scale. DTRF2020 agrees well with DTRF2014. Compared to ITRF2020, transformation differences reach up to 3.1 mm in position and 0.13 mm/yr in velocity for GNSS, VLBI, and SLR, and below 4.6 mm and 0.27 mm/yr for DORIS. Height velocities are consistent with GIA and CMR-based models, with regional differences within ± 3 mm/yr.","PeriodicalId":54822,"journal":{"name":"Journal of Geodesy","volume":"12 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146138716","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analytic definitions of the Gauss–Krüger projection: a review and two new formulations","authors":"Jia-Chun Guo, Nico Sneeuw, Shao-Feng Bian, Yi Liu","doi":"10.1007/s00190-026-02034-z","DOIUrl":"https://doi.org/10.1007/s00190-026-02034-z","url":null,"abstract":"","PeriodicalId":54822,"journal":{"name":"Journal of Geodesy","volume":"45 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146138719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Fei Lin, Yu Sun, Natthachet Tangdamrongsub, Shuo Zheng, Bao Zhang
{"title":"Implications of phase information from GPS and GRACE(FO) for identifying GPS stations influenced by poroelastic deformation","authors":"Fei Lin, Yu Sun, Natthachet Tangdamrongsub, Shuo Zheng, Bao Zhang","doi":"10.1007/s00190-026-02031-2","DOIUrl":"https://doi.org/10.1007/s00190-026-02031-2","url":null,"abstract":"","PeriodicalId":54822,"journal":{"name":"Journal of Geodesy","volume":"30 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146101867","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Applications of GNSS BIE-ECDs theory to the least-squares estimator of the integer ambiguity","authors":"Zemin Wu, Shaofeng Bian","doi":"10.1007/s00190-025-02027-4","DOIUrl":"https://doi.org/10.1007/s00190-025-02027-4","url":null,"abstract":"","PeriodicalId":54822,"journal":{"name":"Journal of Geodesy","volume":"15 1","pages":""},"PeriodicalIF":4.4,"publicationDate":"2026-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146048448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}