Courses - GPS 442
GPS 442 Ellipsoidal Surface Model
(catalog description): Geodesic line on the ellipsoidal
surface, geodesic curvature, differential equations of the
geodesic, direct and inverse solutions, 2D network adjustment on
the ellipsoidal surface, partial derivatives, reduction of
observations, traditional horizontal and vertical networks in
surveying and geodesy; in-depth review of differential geometry.
Prerequisite: GPS 441, equivalent or consent, Lec. 1, Cr. 1
The ellipsoidal surface model
deals with 2-dimensional computations on the ellipsoidal surface.
This model is viewed here as an intermediary but necessary model
that eventually leads to the conformal mapping models dealt with
in GPS 443. The ellipsoidal model and the "horizontal" datum are
conceptually the same in that both refer to the 2-dimensional
ellipsoidal surface.
Computations on the ellipsoidal
surface require the geodesic line, which considerably complicates
the mathematics. We carefully identify the ellipsoidal surface
model observables, and show how these are obtained from those of
the 3D geodetic model. We then formulate the adjustment of an
ellipsoidal surface network.
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