Abstract
Sampling the Earth from single-satellite missions or single-orbit formations is necessarily limited by the mandatory balance between spatial and temporal resolution. A short repeat period leads to sparse ground-track spacing. Conversely, dense satellite coverage can only be attained at the cost of time resolution. For future gravity field missions, geoscience communities are pushing for ever higher resolution than GRACE, both in time and space. A logical consequence would be multi-satellite and/or multi-groundtrack configurations.
We investigate the basic parameters that determine space-time resolution. Under the assumption of a repeat orbit two basic rules for sampling the Earth from space are provided. The familiar Nyquist rule of thumb links the number of revolutions in a repeat period to the maximum spherical harmonic degree. A second sampling rule, expressing the balance between spatial and temporal resolution, is coined the Heisenberg rule.
Simulations demonstrate how future mission concepts might benefit from multi-satellite/multi-groundtrack configurations.
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References
Bender, P.L., J.L. Hall, J. Ye, and W.M. Klipstein (2003). Satellite-satellite laser links for future gravity missions. Space Sci. Rev., 108,377–384.
Chen, J.L., C.R. Wilson, and B.D. Tapley (2006). Satellite gravity measurements confirm accelerated melting of Greenland ice sheet. Science 313:1958–1960, DOI˜10.1126/science.1129007.
Lemoine, F., S.C. Kenyon, J.K. Factor, R.G. Trimmer, N.K. Pavlis, D.S. Chinn, C.M. Cox, S.M. Klosko, S.B. Luthcke, M.H. Torrence, Y.M. Wang, R.G. Williamson, E.C. Pavlis, R.H. Rapp, and T.R. Olson (1998). The development of the joint NASA Goddard Space Flight Center and the National Imagery and Mapping Agency (NIMA) geopotential Model EGM96, NASA/TP-1998-206861, Greenbelt, MD, USA.
Schrama, E.J.O., B. Wouters, and D.D. Lavallee (2007). Signal and noise in gravity recovery and climate experiment (GRACE) observed surface mass observations. J. Geophys. Res., 112 (B08407), doi: 10.1029/2006JB004882.
Sharifi, M., N. Sneeuw, and W. Keller (2007). Gravity recovery capability of four generic satellite formations. In: Kiliçoglu, A. and R. Forsberg (eds), Gravity field of the Earth. General Command of Mapping. ISSN 1300-5790 Special Issue 18:211–216.
Sneeuw, N., J. Flury, and R. Rummel (2004). Science requirements on future missions and simulated mission scenarios. Earth Moon Planets, 94(1–2), 113–142.
Sneeuw, N., M. Sharifi, and W. Keller (2008). Gravity recovery from formation flight missions. In: Xu, P.L., J.N. Liu, A. Dermanis (eds), VI hotine-marussi symposium on theoretical and computational geodesy. vol 132, Springer.
Tapley, B.D., S. Bettadpur, J.C. Ries, P.F. Thompson, and M.M Watkins (2004). GRACE measurements of mass variability in the Earth system. Science, 305, 503–505.
Acknowledgement
This study was performed within the contract 20403 “Monitoring and modelling individual sources of mass distribution and transport in the Earth system by means of satellites” of the European Space Agency. We thank ESA for the financial support and the project team for providing data and input to this study.
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Reubelt, T., Sneeuw, N., Sharifi, M.A. (2010). Future Mission Design Options for Spatio-Temporal Geopotential Recovery. In: Mertikas, S. (eds) Gravity, Geoid and Earth Observation. International Association of Geodesy Symposia, vol 135. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10634-7_22
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DOI: https://doi.org/10.1007/978-3-642-10634-7_22
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