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24. TRAVERSE ADJUSTMENT
Adjustment methods
Adjustment is applied to results for traverse points and points observed from
traverse points.
Adjustment methods and distribution options selected in step 8 are
described below.
Method
Compass: The Compass method distributes the coordinate error in
proportion to the length of the traverse lines.
Northing adjustment =
closure north
Easting adjustment =
closure east
Where: L =length of the traverse line to the point
TL = sum of the traverse line lengths
Transit:
The Transit method distributes the coordinate error in proportion
to the northing and easting ordinates of each traverse line.
Northing adjustment =|
closure north
Easting adjustment =
closure east
Where:
Δ
N = change in northing for the traverse line
ΔE
=
change in easting for the traverse line
Σ
|
Δ
N| = sum of the absolute value of all the
changes in northings of all the traverse lines
Σ
|
Δ
E| =
sum of the absolute value of all the changes in
eastings of all the traverse lines
Angular adjustment
Weighted: Any angular closure is distributed among the angles of the
traverse route based on the sum of the inverses of the forward
and back traverse line lengths at each angle. The backsight and
foresight lines are considered to have infinite lengths
for the purposes of this weighting computation.
L
TL
-------
×
L
TL
-------
×
Δ
N
Σ Δ
N
---------------
×
Δ
E
Σ Δ
E
---------------
×