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dc.contributor.authorTenzer, R.
dc.contributor.authorVanicek, P.
dc.contributor.authorSantos, M.
dc.contributor.authorFeatherstone, Will
dc.contributor.authorKuhn, Michael
dc.date.accessioned2017-01-30T11:12:21Z
dc.date.available2017-01-30T11:12:21Z
dc.date.created2009-03-05T00:56:52Z
dc.date.issued2005
dc.identifier.citationTenzer, R. and Vanicek, P. and Santos, M. and Featherstone, W. and Kuhn, M. 2005. The rigorous determination of orthometric heights. Journal of Geodesy. 79 (1-3): pp. 82-92.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/9386
dc.identifier.doi10.1007/s00190-005-0445-2
dc.description.abstract

The main problem of the rigorous definition of the orthometric height is the evaluation of the mean value of the Earth’s gravity acceleration along the plumbline within the topography. To find the exact relation between rigorous orthometric and Molodensky’s normal heights, the mean gravity is decomposed into: the mean normal gravity, the mean values of gravity generated by topographical and atmospheric masses, and the mean gravity disturbance generated by the masses contained within geoid. The mean normal gravity is evaluated according to Somigliana–Pizzetti’s theory of the normal gravity field generated by the ellipsoid of revolution. Using the Bruns formula, the mean values of gravity along the plumbline generated by topographical and atmospheric masses can be computed as the integral mean between the Earth’s surface and geoid. Since the disturbing gravity potential generated by masses inside the geoid is harmonic above the geoid, the mean value of the gravity disturbance generated by the geoid is defined by applying the Poisson integral equation to the integral mean. Numerical results for a test area in the Canadian Rocky Mountains show that the difference between the rigorously defined orthometric height and the Molodensky normal height reaches 0.5 m.

dc.publisherSpringer - Verlag
dc.subjectMean gravity
dc.subjectPlumbline
dc.subjectNormal height
dc.subjectOrthometric height
dc.titleThe rigorous determination of orthometric heights
dc.typeJournal Article
dcterms.source.volume79
dcterms.source.number1-3
dcterms.source.startPage82
dcterms.source.endPage92
dcterms.source.issn09497714
dcterms.source.titleJournal of Geodesy
curtin.note

The final publication is available at Springer via http://doi.org/10.1007/s00190-005-0445-2

curtin.accessStatusOpen access
curtin.facultyDepartment of Spatial Sciences
curtin.facultyFaculty of Science and Engineering
curtin.facultyWA School of Mines


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