Abstract
In 2009, the geoscience community has fixed an objective of 1 mm accuracy and 0.1 mm/yr stability for the terrestrial reference frame (TRF) realization (Global Geodetic Observing System, GGOS, Meeting the Requirements of a Global Society on a Changing Planet in 2020, Plag and Pearlman in Global geodetic observing system: meeting the requirements of a global society on a changing planet in 2020. Springer, Berlin, 2009. https://doi.org/10.1007/978-3-642-02687-4). This accuracy and stability are needed for diversified studies like climate change, tectonic sciences and more generally any geoscience requiring the use of an accurate and precise TRF. Unfortunately, they are still not reached by the last International Terrestrial Reference Frame. To reach this goal, the use of “multi-technique” satellites as “space-ties” has been studied since 2011 and a few proposals have been made in response to different space agency calls: the Geodetic Reference Antenna in Space (GRASP) mission—NASA Earth Venture 2 call, Eratosthenes-GRASP (E-GRASP)—ESA Earth Explorer 9 (EE9) call, MOBILE—ESA EE10 call, MARVEL—CNES Séminaire de Prospective Scientifique 2019). In this article, we present the numerical simulations carried out by the French Groupe de Recherche de Géodésie Spatiale (GRGS) for the E-GRASP proposal in response to the ESA EE-9 call and their improvements carried out afterwards. These simulations aim to answer three different questions:
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Is it possible to reach the GGOS requirements for the TRF with the measurements of a GRASP-like satellite like E-GRASP alone?
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If it is possible, which level of accuracy for the positioning of the on-board antennas is needed?
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What is the minimal lifetime of a E-GRASP mission to reach the GGOS requirements?
The results of these simulations show that a E-GRASP satellite can allow us to reach, after five years, an accuracy close to 1 mm and a stability better than 0.1 mm/yr for the TRF. However, it is necessary to ensure a positioning better than 1 mm for the on-board antennas. We therefore encourage the new ESA GENESIS mission proposal, accepted during the ESA last Ministerial meeting on 23rd November 2022, which takes up the concept of a GRASP-type satellite.
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Data availability
The datasets generated during and analyzed during the current study are available from the corresponding author on reasonable request.
Notes
General Assembly resolution 69/266, A global geodetic reference frame for sustainable development, A/RES/69/266 (26 February 2015), available from undocs.org/en/A/RES/69/266.
Doppler Orbitography and Radiopositioning Integrated by Satellite.
Satellite Laser Ranging.
Very Long Baseline Interferometry.
Global Positioning System.
References
Altamimi Z, Rebischung P, Metivier L, Collilieux X (2016) ITRF2014: a new release of the International Terrestrial Reference Frame modeling nonlinear station motions. J Geophys Res Solid Earth. https://doi.org/10.1002/2016JB013098
Appleby G, Rodríguez J, Altamimi Z (2016) Assessment of the accuracy of global geodetic satellite laser ranging observations and estimated impact on ITRF scale: estimation of systematic errors in LAGEOS observations 1993–201. J Geod 90:1371–1388. https://doi.org/10.1007/s00190-016-0929-2
Bar-Sever Y, Bertiger W, Desai S, Gross R, Haines B, Wu S, Nerem S (2011) Geodetic reference antenna in space (GRASP): a mission to enhance GNSS and the terrestrial reference frame, space-based positioning navigation & timing, National advisory board, June 2011. http://www.gps.gov/governance/advisory/meetings/2011-06/bar-sever.pdf
Bar-Sever Y, Haines B, Heflin M, Kuang D, Bertiger W, Nerem S (2014) The geodetic reference antenna in space (GRASP) mission—part Deux. In: IDS workshop, Konstanz, Germany, October 2014. https://ids-doris.org/images/documents/report/ids_workshop_2014/IDS14_s3_BarSever_RevisitingGRASPconcept.pdf
Behzadpour S, Mayer-Gürr T, Krauss S (2021) GRACE Follow-On accelerometer data recovery. J Geophys Res Solid Earth 126:e2020JB021297. https://doi.org/10.1029/2020JB021297
Beutler G, Brockmann E, Gurtner W, Hugentobler U, Mervart L, Rothacher M, Verdun A (1994) Extended orbit modeling techniques at the CODE processing center of the international GPS service for geodynamics : theory and initial results. Manuscr Geod 19(6):367–386
Biancale R (2016) E-GRASP/eratosthenes: a satellite mission proposal submitted to the ESA/Earth Explorer-9 call. In: First international workshop on VLBI observations of near-field targets, Bonn, Germany, October 2016. http://www3.mpifr-bonn.mpg.de/div/meetings/vonft/pdf-files/talks/E-GRASP_Eratosthenes_Biancale
Böhm J, Böhm S, Boisits J, Girdiuk A, Gruber J, Hellerschmied A, Krásná H, Landskron D et al (2018) Vienna VLBI and satellite software (VieVS) for geodesy and astrometry. PASP 130(986):044503. https://doi.org/10.1088/1538-3873/aaa22b
Bury G, Sośnica K, Zajdel R, Strugarek D, Hugentobler U (2021) Geodetic datum realization using SLR-GNSS co-location onboard Galileo and GLONASS. J Geophys Res 126:e2021JB022211. https://doi.org/10.1029/2021JB022211
Cheng MK, Ries JC, Tapley BD (2013) Geocenter variations from analysis of SLR aata. In: Reference frames for applications in geosciences, IAG symposium, vol 138. Springer, Berlin, pp 19–25. https://doi.org/10.1007/978-3-642-32998-2_4
Collilieux X, Altamimi Z, Ray J, van Dam T, Wu X (2009) Effect of the satellite laser ranging network distribution on geocenter motion estimation. J Geophys Res 114:B04402. https://doi.org/10.1029/2008JB005727
Collilieux X, Altamimi Z, Coulot D, van Dam T, Ray J (2010) Impact of loading effects on determination of the International Terrestrial Reference Frame. Adv Space Res 45:144–154. https://doi.org/10.1016/j.asr.2009.08.024
Couhert A, Cerri L, Legeais J, Ablain M, Zelensky N, Haines B, Lemoine F, Bertiger W, Desai S, Otten M (2015) Towards the 1 mm/y stability of the radial orbit error at regional scales. Adv Space Res 55(1):2–23. https://doi.org/10.1016/j.asr.2014.06.041
Couhert A, Mercier F, Moyard J, Biancale R (2018) Systematic error mitigation in DORIS-derived geocenter motion. J Geophys Res 123(111):10142–10161. https://doi.org/10.1029/2018JB0015453
Couhert A, Delong N, Ait-Lakbir H, Mercier F (2019) GPS-cased LEO orbits referenced to the earth’s center of mass. J Geophys Res. https://doi.org/10.1029/2019JB018293
Coulot D, Berio P, Biancale R, Lemoine JM, Loyer S, Soudarin L, Gontier AM (2007) Toward a direct combination of space-geodetic techniques at the measurement level: methodology and main issues. J Geophys Res 112:B05410. https://doi.org/10.1029/2007JB004933
Delva P, Altamimi Z, Blazquez A, Blossfeld M, Böhm J, Bonnefond P et al (2023) GENESIS: co-location of geodetic techniques in space. Earth Planets Space 75:5. https://doi.org/10.1186/s40623-022-01752-w
Glaser S, Rebischung P, Altamimi Z, Schuh H (2021) Rigorous propagation of Galileo-based terrestrial scale, Tour de l’IGS, Technical mini-workshop series. https://files.igs.org/pub/resource/pubs/workshop/2021/07-Glaser.pdf
Haines B, Bar-Sever Y, Bertiger W, Desai S, Weiss J (2010) New GRACE-based estimates of the GPS satellite antenna phase- and group-delay variations. In: IGS workshop, Newcastle, U.K. ftp://stella.ncl.ac.uk/pub/IGSposters/Haines.pdf
Haines B, Bar-Sever Y, Bertiger W, Desai S, Harvey N, Sibois A, Weiss J (2015) Realizing a terrestrial reference system using global positioning system. J Geophys Res Solid Earth 120:5911–5939. https://doi.org/10.1002/2015JB012225
Hellerschmied A, McCallum L, McCallum J, Sun J, Böhm J, Cao J (2018) Observing APOD wit h the AuScope VLBI array. Sensors 2018(18):1587. https://doi.org/10.3390/s18051587
Kuang D, Bar-Sever Y, Haines B (2015) Analysis of orbital configurations for geocentre determination with GPS and low-earth orbiters. J Geod 89(5):471–481. https://doi.org/10.1007/s00190-015-0792-6
Laurichesse D, Mercier F, Berthias JP, Broca P, Cerri L (2009) Integer ambiguity resolution on undifferenced GPS Phase measurements and its application to PPP and satellite precise orbit determination, navigation. J Inst Navig 56(2):135–149. https://doi.org/10.1002/j.2161-4296.2009.tb01750.x
Lemoine JM, Bruinsma S, Gégout P, Biancale R, Bourgogne S (2014) EIGEN-GRGS.RL03.MEAN-FIELD: new mean gravity field model for altimetric satellite orbit computation, OSTST, Kinstanz. https://meetings.aviso.altimetry.fr/fileadmin/user_upload/tx_ausyclsseminar/files/29Ball0900-6_POD_2014_JMLemoine.pdf
Luthcke SB, Zelensky NP, Rowlands DD, Lemoine FG, Williams TA (2003) The 1-centimeter orbit: Jason-1 precision orbit determination using GPS, SLR, DORIS, and altimeter data special issue: Jason-1 calibration/validation. Mar Geod 26(3–4):399–421. https://doi.org/10.1080/714044529
MacMillan D (2017) EOP and scale from continuous VLBI observing, at NASA/GSFC 61A Lab Seminar June 22, 2017. https://science.gsfc.nasa.gov/sed/content/uploadFiles/highlight_files/scale_eop_61A_macmillan.pdf
Marty JC, Loyer S, Perosanz F, Mercier F, Bracher G, Legresy B, Portier L, Capdeville H, Fund F, Lemoine JM, Biancale R (2011) GINS: the CNES/GRGS GNSS scientific software. In: 3rd International colloquium scientific and fundamental aspects of the Galileo Program, ESA proceedings WPP326
Mayer-Gürr T, Kvas A, Klinger B, Rieser D, Zehentner N, Pail R, Gruber T, Fecher T, Rexer M, Schuh WD, Kusche J, Brockmann J, Loth I, Müller S, Eicker A, Schall J, Baur O, Höck E, Krauss S, Maier A (2015) The new combined satellite only model GOCO05s, EGU General Assembly 2015. Vienna. https://doi.org/10.13140/RG.2.1.4688.6807
Mercier F (2018) Modèle OUS Doris pour simulations. CNES technical report
Merkowitz SM, Bolotin S, Elosegui P et al (2019) Modernizing and expanding the NASA Space Geodesy Network to meet future geodetic requirements. J Geod 93:2263–2273. https://doi.org/10.1007/s00190-018-1204-5
Niell A, Barrett J, Burns A, Cappallo R et al (2018) Demonstration of a broadband very long baseline interferometer system: A new instrument for high precision space geodesy. Radio Sci 53:1269–1291. https://doi.org/10.1029/2018RS006617
Pany A, Böhm J, MacMillan D, Schuh H, Nilsson T, Wresnik J (2011) Monte Carlo simulations of the impact of troposphere, clock and measurement errors on the repeatability of VLBI positions. J Geod 85:39–50. https://doi.org/10.1007/s00190-010-0415-1
Petrachenko WT, Niell AE, Corey BE, Behrend D, Schuh H, Wresnik J (2011) VLBI2010: next generation VLBI system for geodesy and astrometry. In: Kenyon S, Pacino M, Marti U (eds) Geodesy for planet earth. International Association of Geodesy Symposia, vol 136. Springer, Berlin. https://doi.org/10.1007/978-3-642-20338-1_125
Pollet A, Coulot D, Capitaine N (2012) Towards a combination of space-geodetic measurements. In: Geodesy for planet earth, IAG symposium, vol 36. Springer, Buenos Aires, pp 51–57. https://doi.org/10.1007/978-3-642-20338-1_7
Pollet A, Coulot D, Bock O, Nahmani S (2014) Comparison of individual and combined zenith tropospheric delay estimations during CONT08 campaign. J Geod 88(11):1095–1112. https://doi.org/10.1007/s00190-014-0745-5
Plag HP, Pearlman MR (2009) Global geodetic observing system: meeting the requirements of a global society on a changing planet in 2020. Springer, Berlin. https://doi.org/10.1007/978-3-642-02687-4
Plank L, Spicakova H, Böhm J, Nilsson T, Pany A, Schuh H (2013) Systematic errors of a VLBI determined TRF investigated by simulations. In: Altamimi Z, Collilieux X (eds) Reference frames for applications in geosciences. International Association of Geodesy Symposia, vol 138. Springer, Berlin. https://doi.org/10.1007/978-3-642-32998-2_29
Rebischung P, Altamimi Z, Springer T (2014) A collinearity diagnosis of the GNSS geocentre determination. J Geod 88:65–85. https://doi.org/10.1007/s00190-013-0669-5
Senior KL, Ray JR, Beard RL (2008) Characterization of periodic variations in the GPS satellite clocks. GPS Solut. 12:211–225. https://doi.org/10.1007/s10291-008-0089-9
Sillard P, Boucher C (2001) A review of algebraic constraint in terrestrial reference frame datum definition. J Geod 75:63–73. https://doi.org/10.1007/s001900100166
Sun J, Böhm J, Nilsson T, Krásná H, Böhm S, Schuh H (2014) New VLBI2010 scheduling strategies and implications on the terrestrial reference frames. J Geod 88(5):449–461. https://doi.org/10.1007/s00190-014-0697-9
Thaller D, Dach R, Seitz M, Beutler G, Mareyen M, Richter B (2011) Combination of GNSS and SLR observations using satellite co-locations. J Geod 85(5):257–272. https://doi.org/10.1007/s00190-010-0433-z
Thaller D, Sośnica K, Dach R, Jäggi A, Beutler G, Mareyen M, Richter B (2014) Geocentre coordinates from GNSS and combined GNSS-SLR solutions using satellite co-locations. In: Earth on the Edge, IAG symposium, vol 139. Springer, Melbourne, pp 129–134. https://doi.org/10.1007/978-3-642-37222-3_16
Wilkinson M, Schreiber U, Procházka I et al (2019) The next generation of satellite laser ranging systems. J Geod 93:2227–2247. https://doi.org/10.1007/s00190-018-1196-1
Willis P (2007) Analysis of a possible future degradation in the DORIS geodetic results related to changes in the satellite constellation. Adv Space Res 39(10):1582–1588. https://doi.org/10.1016/j.asr.2006.11.018
Zajdel R, Kazmierski K, Sośnica K (2022) Orbital artifacts in multi-GNSS precise point positioning time series. J Geophys Res Solid Earth. https://doi.org/10.1029/2021JB022994
Zelensky NP, Lemoine FG, Ziebart M, Sibthorpe A, Willis P, Beckley BD, Klosko SM, Chinn DS, Rowlands DD, Luthcke SB, Pavlis DE, Luceri V (2010) DORIS/SLR POD modeling improvements for Jason-1 and Jason-2. Adv Space Res 46(12):1541–1558. https://doi.org/10.1016/j.asr.2010.05.008
Zoulida M, Pollet A, Coulot D, Perosanz F, Loyer S, Biancale R, Rebischung P (2016) Multitechnique combination of space geodesy observations: impact of the Jason-2 satellite on the GPS satellite orbits estimation. Adv Space Res 58(7):1376–1389. https://doi.org/10.1016/j.asr.2016.06.019
Acknowledgements
The authors would like to thank B. Christophe and B. Foulon of Office National d’Études et de Recherches Aérospatiales for the detailed noise model of the accelerometer and the whole team which participated in the E-GRASP proposal in response to the ESA EE-9 call. This work was supported by CNES through the TOSCA committee and by the ANR-16-CE01-0001 GEODESIE project of the French Agence nationale de la recherche (ANR). This study contributes to the IdEx Université de Paris ANR-18-IDEX-0001. The research leading to these results by MM has received funding from the European Research Council (ERC) GRACEFUL Synergy Grant No. 855677. The comments from three anonymous reviewers helped to improve this paper.
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AP, DC, and RB designed and performed the research; FP, SL, J-CM, SG, VS-G, J-ML, FM, and SN provided useful suggestion and help to simulate the data and noise; MM provided useful help and support for this study; AP, DC, and RB analyzed data; AP wrote the paper.
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Pollet, A., Coulot, D., Biancale, R. et al. GRGS numerical simulations for a GRASP-like mission. J Geod 97, 45 (2023). https://doi.org/10.1007/s00190-023-01730-4
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DOI: https://doi.org/10.1007/s00190-023-01730-4