Traverse Closure Error

In a closed traverse, each measured side can be split into a north-south component (latitude) and an east-west component (departure). If the survey were perfect, the positive and negative components would cancel to zero; any leftover sum in latitude and departure shows how far the computed end point misses the start. The closure error formula treats those two residuals as perpendicular legs of a right triangle, so the overall misclosure is their vector length.

Use this when checking the quality of a closed traverse in surveying, especially after computing latitudes and departures from bearings and distances. It is also used when adjusting traverse observations before coordinate balancing or area calculations.

• Adding the latitude and departure residuals directly instead of squaring them first
• Using the individual side latitudes/departures instead of the final summed misclosure values
• Forgetting that south and west components are signed, which can hide the true direction of the error