Definition
- Deflection of the Vertical :
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Difference between the direction of the normal vector associated with the reference potential and the normal vector associated with the (actual) gravity potential.
- Disturbing Potential :
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Difference between the normal potential and the true (measured) potential.
Introduction
The force of gravity, i.e., the resultant of gravitational and centrifugal force, provides a directional structure to the space above the Earth’s surface. It is tangential to the vertical plumb lines and perpendicular to all (level) equipotential surfaces. Any water surface at rest is part of a level surface. Level (equipotential) surfaces are ideal reference surfaces, for example, for heights. The geoid is defined as that level surface of the gravity field which best fits the mean sea level. Gravity vectors can be measured by absolute or relative gravimeters. The highest accuracy relative gravity...
References and Reading
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Grafarend, E. W., Klapp, M., and Martinec, Z., 2015. Spacetime modeling of the Earth’s gravity field by ellipsoidal harmonics. In Freeden, W., Nashed, Z., and Sonar, T. (eds.), Handbook of Geomathematics, 2nd edn, p 381–496. Heidelberg: Springer.
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Freeden, W., Gerhards, C., Nutz, H., Schreiner, M. (2016). Disturbing Potential from Deflections of the Vertical: From Globally Reflected Surface Gradient Equation to Locally Oriented Multiscale Modeling. In: Grafarend, E. (eds) Encyclopedia of Geodesy. Springer, Cham. https://doi.org/10.1007/978-3-319-02370-0_126-2
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DOI: https://doi.org/10.1007/978-3-319-02370-0_126-2
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Disturbing Potential from Deflections of the Vertical: From Globally Reflected Surface Gradient Equation to Locally Oriented Multiscale Modeling- Published:
- 09 September 2016
DOI: https://doi.org/10.1007/978-3-319-02370-0_126-2
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Disturbing Potential from Deflections of the Vertical: From Globally Reflected Surface Gradient Equation to Locally Oriented Multiscale Modeling Multiscale modeling- Published:
- 22 October 2015
DOI: https://doi.org/10.1007/978-3-319-02370-0_126-1