Work

Circle-circle intersection. A universal method for solving typical surveying problems

Year: 2024
Type: article
Abstract: The research problem of the article is to devise a universal mathematical procedure for calculating point coordinates from typical planar surveying measurements. The proposed solution involves calculating the intersection points of two circles with radii equal to the measured distances (the distance-distance intersection problem). The author demonstrates a straightforward method for reducing every typical surveying problem to the distance-distance intersection form. The procedure also verifies the accuracy of the calculated coordinates. The derived equations were tested numerically using practical examples. The devised procedure will be integrated into an exhaustive numerical algorithm for diverse surveying problems regardless of the geometric approach during measurements.
Language: English
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4403360274
FWCI: 0.677
Cites: 14
Cited by: 4
Related to: 10