On transformations of ellipsoidal (triaxial) orthogonal curvilinear coordinates
Journal
Survey Review
Date Issued
2023-01-01
Author(s)
Soler, Tomás
Abstract
Ellipsoidal orthogonal curvilinear coordinates referred to a triaxial reference ellipsoid are not used in geodesy perhaps because of their theoretical complexity. However, many surveying and geodetic problems could be resolved by simply transforming variables between local frames. Herein it is shown that the computations of local displacements and variance-covariance matrices referred to currently used local curvilinear geodetic coordinate frames gives approximately the same answers than when referred to local ellipsoidal (triaxial) curvilinear frames. The theoretical procedures to obtain the required transformations between local geodetic and local ellipsoidal (triaxial) frames are introduced and examples explained.
Subjects
Orthogonal curvilinear coordinates | Reference ellipsoid | Transformation of local frames | Triaxial ellipsoid
Type
journal article