Figure 3. Subdivision of à section into aliquot parts.
kn *- Y:
GN = 8 - sin”! nes jen vs vo i cos”! SE venen z U {11}
: | Dik | | Bis
Equation (11) can be rearranged for the different points such
that the second part of the equation on the right side will
yield a positive value related to the measured angle (8).
Another type of data that could also be used in, a constrained
solution would be geodetic values. These can be shown by the
following relationships
% = (N + H)cos à cos À ]
Y = (N + H)cos ¢ sin A 1 (12)
Z s (N(1- e2) + H]sin 4
radius of curvature in the prime yertical
geodetic height
geodetic latitude
geodetic longitude
semi-major axis of the ellipsoid, and
first eccentricity
where:
pe >6$rz=
FUNCTIONAL CONSTRAINTS
The use-of functional constraints within the adjustment offers
a significant advantage over weight constraints [Burtch, 193831
and this is through the sequential inclusion of the constraint
whe
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