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Electronic Theses and Dissertations

2021

Compass rule

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New Longitudinal Error Balancing Approaches For Closed Traverses, Jose L. Manzano Jan 2021

New Longitudinal Error Balancing Approaches For Closed Traverses, Jose L. Manzano

Electronic Theses and Dissertations

This study presents two novel approaches to balance the horizontal longitudinal error of closure, EC, in closed polygonal traverses. The standard procedure to balance EC is the Compass Rule. This technique reduces EC to zero by applying corrections in the lengths of all traverse sides. Those corrections are proportional to the corresponding side lengths. That is, this approach is not an error-correcting approach, but an error-balancing procedure.

The proposed new techniques are based on sensitivity analysis of EC with respect to small variations, Δi, in the lengths of all sides i = 1, …