Knowing orthometric height, latitude, longitude of a point and reduced level, latitude, longitude of a second point, what's the mathematical expression to compute for the orthometric correction to be applied to the reduced level of the 2nd point to get its corresponding orthometric Height?
Dear Solihu Olalekan Olaosegba
Basically, The distance along the plumb line from the reference surface (Geoid) to the point determines the orthometric height. Ellipsoid - a smooth mathematical surface that looks like a squashed sphere and is used to represent the Earth's surface.
Kind Regards
Qamar Ul Islam
Hi Solihu,
The orthometric height is hard to realize perfectly in practice because we need to know the exact path of the plumb line within the topography and the knowledge of gravity variations or mass-density distribution inside the topography at all points along the plumb line. So, the approximation (hypotheses) given by the Helmert (1890) orthometric heights is most used ( Heiskanen & Moritz, 1967, Chapter 4). Also, several refinements have been proposed to the Helmert method to improve models for the value of integral-mean gravity along the plumb line (Tenzer et al., 2005).
---------
Heiskanen, W.A. and Moritz, H. (1967) Physical Geodesy, WH Freeman & Co, San Francisco, USA, 364 pp.
Tenzer, R., Vaníček, P., Santos, M., Featherstone, W.E. and Kuhn, M. (2005) Rigorous determination of the orthometric height, Journal of Geodesy, vol. 79, nos 1-3, doi:10.1007/s00190-005-0445-2
Regards
Abdelrahim Ruby
- Badges
- Science topic
- Similar topics
- Mathematics