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Horizontal control specification for major traverse

Short answer

Major traverse uses 1''–10'' theodolite, EDM, multiple face observations, angular misclosure ≤20''√N, linear relative error 1:10,000–1:25,000, long sides >150 m, permanent stations, Bowditch adjustment. Angular accuracy is better on longer sides because fixed centering/targeting errors cause smaller angular error (≈ e/L).

Write down the general specification of horizontal control for major traverse. Why angular accuracy is better in longer side than shorter side of traverse leg?

General specification of horizontal control for a major traverse

Typical specifications adopted for a major (primary) traverse are:

ItemRequirement
PurposeControl framework for large projects, mapping and later minor traverses
Instrument1" to 10" theodolite; EDM or total station for lengths
Angle observationTwo or more sets, face left and face right, mean of both faces
Angular misclosureNot more than about 10′′N10''\sqrt{N} to 20′′N20''\sqrt{N} (NN = number of stations)
Linear measurementEDM, or steel tape with corrections for temperature, tension, slope and sag, taken both ways
Relative closing error1 in 10,000 to 1 in 25,000 or better
Station spacingLong sides (preferably over 150 m), adjacent sides of similar length
StationsPermanent, intervisible, monumented and referenced
OriginTied to existing control stations; orientation by a known bearing or astronomical/GPS azimuth
ComputationBalanced by Bowditch's rule or least squares

The exact limits depend on the specification of the controlling agency (such as the Survey Department of Nepal) for the order of the survey.

Why angular accuracy is better on longer sides

An angular error comes mainly from centering and targeting (sighting) errors, which are fixed linear amounts ee at the instrument station or the target, whatever the length of the line. The resulting angle error is about e/Le/L radians, so it becomes smaller as LL increases. For example, a centering error of 5 mm gives about 10′′10'' on a 100 m side but only about 2′′2'' on a 500 m side. Long sides therefore give better angular accuracy, while short sides should be avoided, or the instrument and targets centred with extra care (e.g. by forced centring).

✓ Answer checked by Claude Opus 5.5 (high effort)

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