A Systematic Approach for Solving the Great Circle Track Problems based on Vector Algebra

1. Bennett, G. G.: Practical Rhumb Line Calculations on the Spheroid. The Journal of Navigation, 49(1), pp. 112-119, 1996.10.1017/S0373463300013151Search in Google Scholar

2. Bowditch, N.: American Practical Navigator. Volume 2, DMAH/TC, Washington, 1981.Search in Google Scholar

3. Bowditch, N.: The American Practical Navigator. 2002 Bicentennial Edition, National Imagery and Mapping Agency, Maryland, 2002.Search in Google Scholar

4. Chen, C. L.: New Computational Approaches for Solving the Great Circle Sailing and Astronomical Vessel Position. Ph.D. Dissertation, Department of Civil Engineering, National Taiwan University, Taipei, Taiwan, 2003.Search in Google Scholar

5. Chen, C. L., Hsieh, T. H. and Hsu, T. P.: A Novel Approach to Solve the Great Circle Sailings Based on Rotation Transformation. Journal of Marine Science and Technology, 23(1), pp 13-20, 2015.Search in Google Scholar

6. Chen, C. L., Hsu, T. P., and Chang, J. R.: A Novel Approach to Great Circle Sailings: The Great Circle Equation. The Journal of Navigation, 57(2), pp. 311-320, 2004.10.1017/S0373463304002644Search in Google Scholar

7. Chen, C. L., Liu, P. F. and Gong, W. T.: A Simple Approach to Great Circle Sailing: The COFI Method. The Journal of Navigation, 67(3), pp. 403-418, 2014.10.1017/S0373463313000751Search in Google Scholar

8. Clough-Smith, J. H.: An Introduction to Spherical Trigonometry. Brown, Son & Ferguson, Ltd., Glasgow, 1966.Search in Google Scholar

9. Cutler, T. J.: Dutton’s Nautical Navigation. Fifteenth Edition, Naval Institute Press, Maryland, 2004.Search in Google Scholar

10. Earle, M. A., Sphere to Spheroid Comparison. The Journal of Navigation, 59(3), pp. 491-496, 2006.10.1017/S0373463306003845Search in Google Scholar

11. Greenberg, M. D.: Advanced Engineering Mathematics. Second Edition, Prentice-Hall International, Inc., 1998.Search in Google Scholar

12. Holm, R. J.: Great Circle Waypoints for Inertial Equipped Aircraft. NAVIGATION, Journal of the Institute of Navigation, 19(2), pp. 191-194, 1972.10.1002/j.2161-4296.1972.tb01683.xSearch in Google Scholar

13. Jofeh, M. L.: The Analysis of Great-circle Tracks. The Journal of Navigation, 34(1), pp. 148-149, 1981.10.1017/S0373463300024322Search in Google Scholar

14. Keys, G.: Practical Navigation by Calculator. Stanford Maritime, London, 1983.Search in Google Scholar

15. Miller, A. R., Moskowitz, I. S. and Simmen, J.: Traveling on the Curved Earth. NAVIGATION, Journal of the Institute of Navigation, 38(1), pp. 71-78, 1991.10.1002/j.2161-4296.1991.tb01715.xSearch in Google Scholar

16. Nastro, V. and Tancredi, U.: Great Circle Navigation with Vectorial Methods. The Journal of Navigation, 63(3), pp. 557-563, 2010.10.1017/S0373463310000044Search in Google Scholar

17. National Imagery and Mapping Agency (NIMA): Department of Defense World Geodetic System 1984: Its definition and relationship with local geodetic systems. Third Edition, Technical Report NIMA TR8350.2, 2000.Search in Google Scholar

18. Royal Navy: Admiralty Manual of Navigation: The Principles of Navigation, Volume 1. 10th Edition. The Nautical Institute, London, 2008.Search in Google Scholar

19. Spiegel, M. R., Lipschutz, S. and Spellman, D.: Vector analysis and an introduction to Tensor analysis. Second Edition, McGraw-Hill, 2009.Search in Google Scholar