Transverse Adjustment for Observations from Modern Survey Instrumentation
Publication: Journal of Surveying Engineering
Volume 113, Issue 2
Abstract
Compass (Bowditch's) rule and Crandall's method (the “least squares” solution, in many coordinate geometry programs) are commonly used to adjust traverses for construction and land survey applications. The assumptions made to derive either of those methods do not match today's instrumentation, particularly modern distance‐measuring equipment. Presented is an algorithm, based on the idea by George W. Tuttle, a contemporary of Crandall, which adjusts a closed traverse with results very much like those from a minimum variance solution, also presented, but without the complexity of computation. Both methods, which apportion corrections based upon the accuracies of observations, are compared to both compass and and Crandall's solutions, using data the accuracies of which are comparable to those of modern instrumentation.
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References
1.
Bowditch, N. (1808). “Solution of Mr. Patterson's Prize Question.” The Analyst, 1(4).
2.
Crandall, C. L. (1901). “The Adjustment of a Transit Survey as Compared with that of a Compass Survey.” Transactions, ASCE, XLV(893), Jun., 453–464.
3.
Moffitt, F. H., and Bouchard, H. (1982). Surveying. 7th ed. Harper and Row, New York, N.Y.
4.
Stoughton, H. W. (1974). “The First Method to Adjust a Traverse Based Upon Statistical Considerations.” Surveying and Mapping, Jun., 145–149.
5.
Tuttle, G. W. (1901). “Discussion on Adjustment of Traverse Surveys,” Transactions, ASCE, XLV, Jun. 465–470.
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Copyright © 1987 ASCE.
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Published online: Jun 1, 1987
Published in print: Jun 1987
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