Skip to main content
Log in

Combinations of Satellite Crossovers to Study Orbit and Residual Errors in Altimetry

  • Published:
Celestial Mechanics and Dynamical Astronomy Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

We define combinations of dual‐ and single‐satellite crossover differences to isolate both stationary orbit‐geopotential and non‐geopotential errors in altimetry data. Specifically two types of combinations are found useful. While no combination of differences can resolve the full radial error of single or paired satellites, an approximation of the mean or geographically correlated error of the generally dominant lower orbit of a pair can be found from one kind (substitutions). (The variable part of the error is always available from the single‐satellite crossover differences.) A second useful combination type is found to yield no geopotential orbit error (zeros): uniquely, these can reveal errors in altimetry from imperfect media corrections as well as oceanographic changes in sealevel. The later circumstance is particularly important when the missions for a pair of satellites are disparate in time.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bettadpur, S. V., Eanes, R. J: 1994, 'Geographical representation of radial orbit perturbations due to ocean tides: implications for satellite altimetry', J. Geophys. Res. 99(C12), 24883.

    Article  ADS  Google Scholar 

  • Bosch, W.: 1997, 'Geoid and orbit corrections from crossover satellite altimetry', DGFI techn. rep., revision: 2.6., Munich, 30 Jan.

  • Carnochan, S., Moore, P. and Ehlers, S.: 1995, 'ERS-1 radial position refinement by dual crossover analysis with TOPEX/Poseidon', Adv. Space Res. 16(12), 119.

    Article  ADS  Google Scholar 

  • Douglas, B. C. and Cheney, R. E.: 1990, 'Geosat: Beginning a new era in satellite oceanography', J. Geophys. Res. 95(C3), 2833.

    ADS  Google Scholar 

  • Engelis, T.: 1987, 'Radial orbit error reduction and sea surface topography determination using satellite altimetry', Ohio State Univ. Rep. 377, Columbus.

  • Fu, L. L., Christensen, E. J., Yamarone, C. A., Lefevre, M., Menard, Y., Dorrer, M. and Escudier, P.: 1994, 'TOPEX/POSEIDON mission overview', J. Geophys. Res. 99(C12), 24369.

    Article  ADS  Google Scholar 

  • Kaula, W. M.: 1966, Theory of Satellite Geodesy, Blaisdell Publ., Waltham, Mass.

    Google Scholar 

  • Klokočník, J., Kostelecký, J. and Jandová, M.: 1995, 'Altimetry with dual-satellite crossovers', Manuscr. Geod. 20, 82.

    Google Scholar 

  • Klokočník, J., Wagner, C. A. and Kostelecký, J.: 1996, 'Accuracy assessments of recent Earth gravity models, using crossover altimetry', Studia Geoph. et Geod. 40, 77.

    Article  Google Scholar 

  • Klokočník, J., Wagner, C. A., and Kostelecký, J.: 1998a, 'Spectral accuracy of JGM 3 from satellite crossover altimetry', J. Geod. 73, 138.

    Google Scholar 

  • Klokočník, J., Wagner, C.A., Kostelecký, J. and Rentsch, M.: 1998b, 'Residual errors in dual-satellite crossover altimetry data: an independent check', in: XXIIIth GA EGS, Symp.: G5, “Ocean Modelling from Altimetry and Remote Sensing”, Nice.

  • Lemoine, F. G. et al.: 1996, 'The NASA and DMA joint geopotential model' (EGM 96), EOS Trans. AGU 77, 46.

    Google Scholar 

  • McGoogan, J., Leito, C., Miller, L. and Wells, W.: 1974, 'Skylab S-194 A1 altimeter experiment performance, results and applications', in: Int. Symp. on Applications of Marine Geodesy, Columbus, Ohio, June.

  • Rosborough, G. W.: 1986, 'Satellite orbit perturbations due to the geopotential', CSR-86-1 Rep., Univ. of Texas at Austin, Center for Space Research.

  • Rosborough, G. W. and Tapley, B. D.: 1987, 'Radial, transverse and normal satellite position perturbations due to geopotential', Celest. Mech. 40, 409.

    Article  MATH  ADS  Google Scholar 

  • Shum, C. K., Zhang, B. H., Schutz, B. E. and Tapley, B. D.: 1990, 'Altimeter crossover methods for precision orbit determination', J. Astronaut. Sci. 38, 355.

    ADS  Google Scholar 

  • Smith, W. H.: 1998, 'Seafloor tectonic fabric from satellite altimetry', Ann. Rev. Earth Planet. Sci. 26, 697.

    Article  ADS  Google Scholar 

  • Tapley, B. D., Shum, C. K., Ries, J. C., Poole, S. R., Abusali, P. A. M., Bettadpur, S. V., Eanes, R. J., Kim, M. C., Rim, H. J. and Schutz, B. E.: 1997, 'The TEG-3 geopotential model', In: K. Schwarz (ed), Proc. GraGeoMar96 Int. Symp., Tokyo, IAG Symp. # 117, Springer-Verlag Berlin, Heidelberg, pp. 453-460.

    Google Scholar 

  • Tapley, B. D. et al., 1996, 'The Joint Gravity Model 3', J. Geophys. Res. 101,B12, 28029.

    Article  ADS  Google Scholar 

  • Wagner, C. A.: 1987, 'Geopotential orbit variations: applications to error analysis', J. Geophys. Res. 92,B8, 8136.

    ADS  Google Scholar 

  • Wagner, C. A. and Klokočník, J.: 1994, 'Accuracy of the GEM T2 geopotential from GEOSAT and ERS-1 crossover altimetry', J. Geophys. Res. 99,B5, 9179.

    Article  ADS  Google Scholar 

  • Wagner, C. A., Klokočník, J. and Tai, C. K.: 1995, 'Evaluation of JGM 2 geopotential errors from Geosat, TOPEX/Poseidon and ERS-1 crossover altimetry', Adv. Space Res. 16(12), 131.

    Article  ADS  Google Scholar 

  • Wagner, C. A., Klokočník, J. and Cheney, R. E.: 1997a, 'Making the connection between Geosat and TOPEX/Poseidon', J. Geod. 71, 273.

    Article  Google Scholar 

  • Wagner, C. A., Klokočník, J. and Kostelecký, J.: 1997b, 'Dual-satellite crossover latitude-lumped coefficients, their use in geodesy and oceanography', J. Geod. 71, 603.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Klokočník, J., Wagner, C.A. Combinations of Satellite Crossovers to Study Orbit and Residual Errors in Altimetry. Celestial Mechanics and Dynamical Astronomy 74, 231–242 (1999). https://doi.org/10.1023/A:1008397202151

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1008397202151

Navigation