Evaluation of high-degree series expansions of the topographic potential to higher-order powers

@article{Hirt2012EvaluationOH,
  title={Evaluation of high-degree series expansions of the topographic potential to higher-order powers},
  author={C. Hirt and M. Kuhn},
  journal={Journal of Geophysical Research},
  year={2012},
  volume={117}
}
[1] Mass associated with surface topography makes a significant contribution to the Earth's gravitational potential at all spectral scales. Accurate computation in spherical harmonics to high degree requires calculations of multiple integer powers of the global topography. The purpose of this paper is to analyze the contributions of Earth's topography to its potential to the tenth power of the topography, and quantify truncation errors resulting from neglecting higher-order powers. To account… Expand

Figures and Tables from this paper

Direct Harmonic Analysis for the Ellipsoidal Topographic Potential with Global and Local Validation
Contribution of mass density heterogeneities to the quasigeoid-to-geoid separation
...
1
2
3
4
...

References

SHOWING 1-10 OF 71 REFERENCES
Efficient and accurate high-degree spherical harmonic synthesis of gravity field functionals at the Earth’s surface using the gradient approach
  • C. Hirt
  • Mathematics
  • Journal of Geodesy
  • 2012
Topographic effects by the Stokes–Helmert method of geoid and quasi-geoid determinations
Spherical harmonic modelling to ultra-high degree of Bouguer and isostatic anomalies
...
1
2
3
4
5
...