Meridian convergence: An alternate methodology
-
Johannes Malan
and
Hendrik Grobler
Abstract
This study investigates the development and testing of an approximation method for the Mine Surveyor to calculate meridian convergence. This study, a detailed review of experimental techniques, follows a statistical experimental approach to establish how accurate an alternative method performs against traditional methods of meridian convergence calculation used by the Mine Surveyor. The spatial study is defined by the geographical range of the existing Schreiber Geodetic Tables, ranging from 70 km south of Ndola (Zambia) to 10 km north of De Aar (South Africa). The sample size is established under the constraint of an infinite population. Linear regression in collaboration with the hold-out validation technique is adopted to statistically refine the alternative method of calculation. The computational outcomes of the refined alternative method in comparison to the unrefined method are predominantly closer to the traditional outcomes. Computational outcomes specific to the hold-out validation set demonstrate a maximum sub-
Funding statement: The authors seek to thank the University of Johannesburg for research support.
Acknowledgment
The authors thank Mr J.W. Weakley, an Engineering Surveyor, for the conversion of geodetic coordinates to geographical coordinates. The conversion is necessary to enable the computation of meridian convergence through the geographical method (noted as Method 1 in this paper).
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Research Articles
- Enhancing the predictability of least-squares collocation through the integration with least-squares-support vector machine
- Meridian convergence: An alternate methodology
- Analysing Willerding’s formula for solving the planar three point resection problem
- Contribution of satellite altimetry in modelling Moho density contrast in oceanic areas
- Estimations of GNSS receiver internal delay using precise point positioning algorithm
- Trilateration approaches for seamless out-/indoor GNSS and Wi-Fi smartphone positioning
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Articles in the same Issue
- Frontmatter
- Research Articles
- Enhancing the predictability of least-squares collocation through the integration with least-squares-support vector machine
- Meridian convergence: An alternate methodology
- Analysing Willerding’s formula for solving the planar three point resection problem
- Contribution of satellite altimetry in modelling Moho density contrast in oceanic areas
- Estimations of GNSS receiver internal delay using precise point positioning algorithm
- Trilateration approaches for seamless out-/indoor GNSS and Wi-Fi smartphone positioning
- Accounting for the differential inter-system bias (DISB) of code observation in GPS+BDS positioning
