Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: J Geod

Search In Journal Title:

Abbravation: Journal of Geodesy

Search In Journal Abbravation:

Publisher

Springer Berlin Heidelberg

Search In Publisher:

DOI

10.1007/978-90-481-3609-4_5

Search In DOI:

ISSN

1432-1394

Search In ISSN:
Search In Title Of Papers:

Spherical integral formulas for upward/downward co

Authors: Michal Šprlák Josef Sebera Miloš Val’ko Pavel Novák
Publish Date: 2013/12/31
Volume: 88, Issue: 2, Pages: 179-197
PDF Link

Abstract

New integral formulas for upward/downward continuation of gravitational gradients onto gravitational gradients are derived in this article They provide more options for continuation of gravitational gradient combinations and extend available mathematical apparatus formulated for this purpose up to now The starting point represents the analytical solution of the spherical gradiometric boundary value problem in the spatial domain Applying corresponding differential operators on the analytical solution of the spherical gradiometric boundary value problem a total of 18 integral formulas are provided Spatial and spectral forms of isotropic kernels are given and their behaviour for parameters of a GOCElike satellite is investigated Correctness of the new integral formulas and the isotropic kernels is tested in a closedloop simulation The derived integral formulas and the isotropic kernels form a theoretical basis for validation purposes and geophysical applications of satellite gradiometric data as provided currently by the GOCE mission They also extend the wellknown Meissl schemeThis work is supported in the framework of ESA’s project GOCEGDC AO/16367/10/NL/AF M Šprlák and J Sebera were supported by the project EXLIZ CZ107/2300/300013 which is cofinanced by the European Social Fund and the state budget of the Czech Republic P Novák was supported by the project 209/12/1929 of the Czech Science Foundation Constructive comments of the three anonymous reviewers are gratefully acknowledged Thanks are extended to the editorinchief Prof Roland Klees and the responsible editor Prof Wolfgang Keller for handling our manuscript

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. New versions of the BDS/GNSS zenith tropospheric delay model IGGtrop
  2. Alternative validation method of satellite gradiometric data by integral transform of satellite altimetry data
  3. Alternative validation method of satellite gradiometric data by integral transform of satellite altimetry data
  4. Earth’s gravity field modelling based on satellite accelerations derived from onboard GPS phase measurements
  5. Separation of global time-variable gravity signals into maximally independent components
  6. The effect on the geoid of lateral topographic density variations
  7. Atmospheric and oceanic forcing of the rapid polar motion
  8. Methodology and use of tensor invariants for satellite gravity gradiometry
  9. Precise orbit determination for the FORMOSAT-3/COSMIC satellite mission using GPS
  10. Local Multiscale Modelling of Geoid Undulations from Deflections of the Vertical
  11. An absolute calibration site for radar altimeters in the continental domain: Lake Issykkul in Central Asia
  12. Thermosteric Effects on Interannual and Long-term Global Mean Sea Level Changes
  13. Application of SWACI products as ionospheric correction for single-point positioning: a comparative study
  14. Statistical modeling for the mitigation of GPS multipath delays from day-to-day range measurements
  15. On the double-peak spectrum of the Chandler wobble
  16. Basic equations for constructing geopotential models from the gravitational potential derivatives of the first and second orders in the terrestrial reference frame
  17. Bias in GRACE estimates of ice mass change due to accompanying sea-level change
  18. A new isostatic model of the lithosphere and gravity field
  19. Convex optimization under inequality constraints in rank-deficient systems
  20. On the deformation analysis of point fields
Search Result: