An Axiom of True Courses Calculation in Great Circle Navigation
Based on traditional expressions and spherical trigonometry, at present, great circle navigation is undertaken using various navigational software packages. Recent research has mainly focused on vector algebra. These problems are calculated numerically and are thus suited to computer-aided great cir...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-05-01
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| Series: | Journal of Marine Science and Engineering |
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| Online Access: | https://www.mdpi.com/2077-1312/9/6/603 |
| _version_ | 1797531885782433792 |
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| author | Mate Baric David Brčić Mate Kosor Roko Jelic |
| author_facet | Mate Baric David Brčić Mate Kosor Roko Jelic |
| author_sort | Mate Baric |
| collection | DOAJ |
| description | Based on traditional expressions and spherical trigonometry, at present, great circle navigation is undertaken using various navigational software packages. Recent research has mainly focused on vector algebra. These problems are calculated numerically and are thus suited to computer-aided great circle navigation. However, essential knowledge requires the navigator to be able to calculate navigation parameters without the use of aids. This requirement is met using spherical trigonometry functions and the Napier wheel. In addition, to facilitate calculation, certain axioms have been developed to determine a vessel’s true course. These axioms can lead to misleading results due to the limitations of the trigonometric functions, mathematical errors, and the type of great circle navigation. The aim of this paper is to determine a reliable trigonometric function for calculating a vessel’s course in regular and composite great circle navigation, which can be used with the proposed axioms. This was achieved using analysis of the trigonometric functions, and assessment of their impact on the vessel’s calculated course and established axioms. |
| first_indexed | 2024-03-10T10:51:09Z |
| format | Article |
| id | doaj.art-daf9e3b71d674ea59ae711a7df871e8a |
| institution | Directory Open Access Journal |
| issn | 2077-1312 |
| language | English |
| last_indexed | 2024-03-10T10:51:09Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Marine Science and Engineering |
| spelling | doaj.art-daf9e3b71d674ea59ae711a7df871e8a2023-11-21T22:15:47ZengMDPI AGJournal of Marine Science and Engineering2077-13122021-05-019660310.3390/jmse9060603An Axiom of True Courses Calculation in Great Circle NavigationMate Baric0David Brčić1Mate Kosor2Roko Jelic3Maritime Department, University of Zadar, 23000 Zadar, CroatiaFaculty of Maritime Studies, University of Rijeka, 51000 Rijeka, CroatiaMaritime Department, University of Zadar, 23000 Zadar, CroatiaMaritime Department, University of Zadar, 23000 Zadar, CroatiaBased on traditional expressions and spherical trigonometry, at present, great circle navigation is undertaken using various navigational software packages. Recent research has mainly focused on vector algebra. These problems are calculated numerically and are thus suited to computer-aided great circle navigation. However, essential knowledge requires the navigator to be able to calculate navigation parameters without the use of aids. This requirement is met using spherical trigonometry functions and the Napier wheel. In addition, to facilitate calculation, certain axioms have been developed to determine a vessel’s true course. These axioms can lead to misleading results due to the limitations of the trigonometric functions, mathematical errors, and the type of great circle navigation. The aim of this paper is to determine a reliable trigonometric function for calculating a vessel’s course in regular and composite great circle navigation, which can be used with the proposed axioms. This was achieved using analysis of the trigonometric functions, and assessment of their impact on the vessel’s calculated course and established axioms.https://www.mdpi.com/2077-1312/9/6/603great circlenavigationaxiom |
| spellingShingle | Mate Baric David Brčić Mate Kosor Roko Jelic An Axiom of True Courses Calculation in Great Circle Navigation Journal of Marine Science and Engineering great circle navigation axiom |
| title | An Axiom of True Courses Calculation in Great Circle Navigation |
| title_full | An Axiom of True Courses Calculation in Great Circle Navigation |
| title_fullStr | An Axiom of True Courses Calculation in Great Circle Navigation |
| title_full_unstemmed | An Axiom of True Courses Calculation in Great Circle Navigation |
| title_short | An Axiom of True Courses Calculation in Great Circle Navigation |
| title_sort | axiom of true courses calculation in great circle navigation |
| topic | great circle navigation axiom |
| url | https://www.mdpi.com/2077-1312/9/6/603 |
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