DGNSS; Extended Kalman Filter; Relative navigation; Satellite formation; State estimation; Baseline vectors; Global Navigation Satellite Systems; Inter satellite distances; Ionospheric delays; Real-time estimation; Relative positions; Relative velocity; Satellites formation; Aerospace Engineering; Astronomy and Astrophysics; Geophysics; Atmospheric Science; Space and Planetary Science; Earth and Planetary Sciences (all); General Earth and Planetary Sciences
Abstract :
[en] Real time estimation of the relative position and velocity vectors between two satellites in a formation is an integral part of the formation control loop. Relative positioning based on Global Navigation Satellite Systems (GNSS) has been a dominating technology for formation missions in LEO, where extremely precise estimates could be obtained for formations with small inter-satellite distances (1-10 km). Larger baselines between the satellites (>10 km) are more challenging as they pose the problem of huge differences in the ionospheric delays experienced by the signals received by each receiver. This problem could be mitigated by using precise ionospheric-free combinations that could only be obtained by dual-frequency receivers, which is not a cost-efficient option for the modern low-cost miniature missions. In this paper, the problem of GNSS-based relative navigation between two spacecraft with large inter-satellite distance which are equipped with single-frequency receivers is treated through adopting the space-proven Extended Kalman Filter (EKF). Although using an EKF for relative navigation is a common practice, there are many variants of the filter settings, which vary in terms of the state and measurement vectors to be adopted as well as the techniques to be used to handle the ionospheric delay. In this research, optimal settings of the filter are sought for the problem of relative baseline vector estimation between two spacecraft that have large separation and which are equipped with with single-frequency GNSS receivers.
Research center :
Interdisciplinary Centre for Security, Reliability and Trust (SnT) > ARG - Automation & Robotics ULHPC - University of Luxembourg: High Performance Computing
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
MAHFOUZ, Ahmed ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > Automation
MENZIO, Davide ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust > Automation > Team Holger VOOS
Dalla Vedova, Florio; LuxSpace, Betzdorf, Luxembourg
VOOS, Holger ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > Automation
External co-authors :
no
Language :
English
Title :
GNSS-based baseline vector determination for widely separated cooperative satellites using L1-only receivers
Publication date :
10 July 2023
Journal title :
Advances in Space Research
ISSN :
0273-1177
eISSN :
1879-1948
Publisher :
Elsevier Ltd
Special issue title :
Recent Advances in Satellite Constellations and Formation Flying
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.
Ardaens, J.-S., Gaias, G., A numerical approach to the problem of angles-only initial relative orbit determination in low earth orbit. Adv. Space Res. 63:12 (2019), 3884–3899, 10.1016/j.asr.2019.03.001 URL: https://www.sciencedirect.com/science/article/pii/S0273117719301620.
Busse, F.D., How, J.P., Simpson, J., Demonstration of adaptive extended kalman filter for low-earth-orbit formation estimation using cdgps. Navigation 50:2 (2003), 79–93, 10.1002/j.2161-4296.2003.tb00320.x URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/j.2161-4296.2003.tb00320.x.
Carter, T.E., State transition matrices for terminal rendezvous studies: Brief survey and new example. J. Guidance Control Dyn. 21:1 (1998), 148–155, 10.2514/2.4211.
Centre National d’Études Spatiales, European Commission, & European Space Agency, 2011. User guide for EGNOS application developers: ED 2.0, 15/12/2011. Publications Office. URL: https://op.europa.eu/en/publication-detail/-/publication/9028327b-8122-4cfc-97a8-4243c7d78039. https://doi.org/10.2769/22157.
Ceva, J.G., Parkinson, B.W., 1993. Multipath interference in orbiting receivers due to earth surface reflections. In: Proceedings of the 6th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1993), pp. 1557–1563. Salt Lake City, UT. URL: https://www.ion.org/publications/abstract.cfm?articleID=4294.
Clohessy, W.H., Wiltshire, R.S., Terminal guidance system for satellite rendezvous. J. Aerospace Sci. 27:9 (1960), 653–658, 10.2514/8.8704.
Correa-Muños, N.A., Cerón-Calderón, L.A., Precision and accuracy of the static GNSS method for surveying networks used in civil engineering. Ingeniería e Investigación 38:1 (2018), 52–59, 10.15446/ing.investig.v38n1.64543.
Crisan, A.M., Martian, A., Cacoveanu, R., et al. Distance estimation in OFDM inter-satellite links. Measurement, 154, 2020, 107479, 10.1016/j.measurement.2020.107479 URL: https://www.sciencedirect.com/science/article/pii/S0263224120300166.
D'Amico, S., Ardaens, J.-S., Montenbruck, O., 209). Navigation of formation flying spacecraft using gps: the prisma technology demonstration. In: Proceedings of the 22nd International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2009), Savannah, GA. pp. 1427–1441. URL: https://www.ion.org/publications/abstract.cfm?articleID=8552.
De Bakker, P.F., van der Marel, H., Tiberius, C.C., Geometry-free undifferenced, single and double differenced analysis of single frequency gps, egnos and giove-a/b measurements. GPS Solut. 13 (2009), 305–314, 10.1007/s10291-009-0123-6 URL: https://link.springer.com/article/10.1007/s10291-009-0123-6.
De Florio, S., D'Amico, S., Flight results from the autonomous navigation and control of formation flying spacecraft on the prisma mission. In 61st International Astronautical Congress (IAC), 2010, International Astronautical Federation, Prague, CZ URL: https://iafastro.directory/iac/archive/browse/IAC-10/C1/5/8016/.
D'Errico, M., 2012. Distributed space missions for earth system monitoring volume 31., 1st ed., Springer Science & Business Media. URL: https://link.springer.com/book/10.1007/978-1-4614-4541-8. https://doi.org/10.1007/978-1-4614-4541-8.
European Space Agency, 2022. SWARM mission data. https://earth.esa.int/eogateway/missions/swarm/data.
Giralo, V., D'Amico, S., 2021. Precise real-time relative orbit determination for large-baseline formations using gnss. In: Proceedings of the 2021 International Technical Meeting of The Institute of Navigation, pp. 366–384. URL: https://www.ion.org/publications/abstract.cfm?articleID=17839. https://doi.org/10.33012/2021.17839.
Guo, F., Zhang, X., 2012. Real-time clock jump detection and repair for precise point positioning. In: Proceedings of the 25th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2012), Nashville, TN. pp. 3077–3088. URL: https://www.ion.org/publications/abstract.cfm?articleID=10487.
Izenman, A.J., Modern Multivariate Statistical Techniques: Regression, Classification and Manifold Learning. 1st ed., 2008, Springer, New York, NY, 10.1007/978-0-387-78189-1 URL: https://link.springer.com/book/10.1007/978-0-387-78189-1.
Jazwinski, A., 1970. Applications of linear theory. In: Jazwinski, A.H. (Ed.), Stochastic Processes and Filtering Theory. Elsevier volume 64 of Mathematics in Science and Engineering, pp. 266–331. (chapter 8), URL: https://www.sciencedirect.com/science/article/pii/S0076539209603775. https://doi.org/10.1016/S0076-5392(09)60377-5.
Komjathy, A., Langley, R., 1996. An assessment of predicted and measured ionospheric total electron content using a regional GPS network. In: Proceedings of the National Technical Meeting of the Institute of Navigation, Citeseer, Santa Monica, CA. pp. 615–624. URL: https://www.ion.org/publications/abstract.cfm?articleID=438.
Kroes, R., Montenbruck, O., Bertiger, W., et al. Precise grace baseline determination using GPS. GPS Solut. 9:1 (2005), 21–31, 10.1007/s10291-004-0123-5 URL: https://link.springer.com/article/10.1007/s10291-004-0123-5.
Le, A., Tiberius, C., GPS standard positioning service: how good is it?. Eur. J. Navigat. 1:2 (2003), 21–27.
Lear, W., 1988. GPS navigation for low-earth orbiting vehicles, 1st revision. Technical Report 87-FM-2, JSC-32,031 NASA Lyndon B. Johnson Space Center, Mission planning and analysis division.
Leick, A., Rapoport, L., Tatarnikov, D., GNSS positioning approaches. GPS Satellite Surveying, 2015, John Wiley & Sons, Ltd, 257–399, 10.1002/9781119018612.ch6 (chapter 6), URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/9781119018612.ch6.
Leung, S., Montenbruck, O., Real-time navigation of formation-flying spacecraft using global-positioning-system measurements. J. Guidance Control Dyn. 28:2 (2005), 226–235, 10.2514/1.7474.
Lopez, J.L.S., 2017. A general architecture for autonomous navigation of unmanned aerial systems. Ph.D. thesis Technical University of Madrid Madrid, ES. URL: https://dialnet.unirioja.es/servlet/tesis?codigo=156146.
Luxspace, 2021. Triton-X, The high-performance microsatellite platform. Brochure. URL: https://luxspace.lu/wp-content/uploads/2021/08/Triton-X_Heavy_Brochure.pdf.
Mahfouz, A., Mezio, D., Dalla-Vedova, F. et al., 2022. Relative state estimation for leo formations with large inter-satellite distances using single-frequency GNSS receivers. In: Proceedings of the 11th International Workshop on Satellite Constellations & Formation Flying. Milan, IT.
Montenbruck, O., Ebinuma, T., Lightsey, E., et al. A real-time kinematic gps sensor for spacecraft relative navigation. Aerosp. Sci. Technol. 6:6 (2002), 435–449, 10.1016/S1270-9638(02)01185-9 URL: https://www.sciencedirect.com/science/article/pii/S1270963802011859.
Park, H.-E., Park, S.-Y., Kim, S.-W., et al. Integrated orbit and attitude hardware-in-the-loop simulations for autonomous satellite formation flying. Adv. Space Res. 52:12 (2013), 2052–2066, 10.1016/j.asr.2013.09.015 URL: https://www.sciencedirect.com/science/article/pii/S0273117713005784.
Park, J.-I., Park, H.-E., Park, S.-Y., et al. Hardware-in-the-loop simulations of GPS-based navigation and control for satellite formation flying. Adv. Space Res. 46:11 (2010), 1451–1465, 10.1016/j.asr.2010.08.012 URL: https://www.sciencedirect.com/science/article/pii/S0273117710005260.
Peng, Y., Scales, W.A., Esswein, M.C. et al., 2019. Small satellite formation flying simulation with multi-constellation GNSS and applications to future multi-scale space weather observations. In: Proceedings of the 32nd International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2019), Miami, Florida. pp. 2035–2047. URL: https://www.ion.org/publications/abstract.cfm?articleID=16883. https://doi.org/10.33012/2019.16883.
Peng, Y., Scales, W.A., Lin, D., GNSS-based hardware-in-the-loop simulations of spacecraft formation flying with the global ionospheric model TIEGCM. GPS Solut. 25 (2021), 1–14, 10.1007/s10291-021-01099-x URL: https://link.springer.com/article/10.1007/s10291-021-01099-x.
Rao, A., 2006. Kinematics. In: Dynamics of Particles and Rigid Bodies: A Systematic Approach. Cambridge University Press, pp. 27–130. (chapter 2), URL: https://www.cambridge.org/eg/academic/subjects/engineering/solid-mechanics-and-materials/dynamics-particles-and-rigid-bodies-systematic-approach?format=HB&isbn=9780521858113.
Rao, G.S.B., Ionospheric delay estimation for improving the global positioning system position accuracy. IETE J. Res. 54:1 (2008), 23–29, 10.1080/03772063.2008.10876178.
Renga, A., Causa, F., Tancredi, U., et al. Accurate ionospheric delay model for real-time GPS-based positioning of leo satellites using horizontal vtec gradient estimation. GPS Solut. 22:2 (2018), 1–14, 10.1007/s10291-018-0710-5 URL: https://link.springer.com/article/10.1007/s10291-018-0710-5.
Tancredi, U., Allende-Alba, G., Renga, A., et al. Relative positioning of spacecraft in intense ionospheric conditions by gps. Aerosp. Sci. Technol. 43 (2015), 191–198, 10.1016/j.ast.2015.02.020 URL: https://www.sciencedirect.com/science/article/pii/S1270963815000772.
Tancredi, U., Renga, A., Grassi, M., Real-time relative positioning of spacecraft over long baselines. J. Guidance Control Dyn. 37:1 (2014), 47–58, 10.2514/1.61950.
Varrette, S., Bouvry, P., Cartiaux, H., et al. Management of an academic hpc cluster: The ul experience. Proc. of the 2014 Intl. Conf. on High Performance Computing & Simulation (HPCS 2014), 2014, IEEE, Bologna, Italy, 959–967, 10.1109/HPCSim.2014.6903792 URL: https://ieeexplore.ieee.org/abstract/document/6903792.
Woods, J.O., Christian, J.A., 2016. Lidar-based relative navigation with respect to non-cooperative objects. Acta Astronaut. 126, 298–311. URL: https://www.sciencedirect.com/science/article/pii/S0094576515301661. https://doi.org/10.1016/j.actaastro.2016.05.007. Space Flight Safety.
Yunck, T.P., 1993. Coping with the atmosphere and ionosphere in precise satellite and ground positioning. In: Environmental Effects on Spacecraft Positioning and Trajectories. American Geophysical Union (AGU), pp. 1–16. (chapter 1), URL: https://agupubs.onlinelibrary.wiley.com/doi/abs/10.1029/GM073p0001. https://doi.org/10.1029/GM073p0001.
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