Modern Solar Navigation Techniques
DOI:
https://doi.org/10.36399/GroundingsUG.14.143Keywords:
Solar Navigation, Latitude, Sun Bearing, Mathematical Modelling, Planetary GeometryAbstract
Navigation by sea has proven difficult due to the absence of distinct markers for guidance. One solution for longer journeys was to track the position of celestial bodies as a navigational method, which has become more reliable as mathematical models improved over time. This essay aims to explore the mathematical methods behind modern solar navigation techniques and illustrate how these models are highly useful to describe and predict real-life scenarios.
References
Allen, Carroll W. Astrophysical Quantities. The Athlone Press, 1973.
Anders, William. “Earth Photograph Shot from the Apollo 8, Showing the Daylight Plane.” All of You on the Good Earth, 24 Dec. 1968, eoimages.gsfc.nasa.gov/images/imagerecords/144000/144427/AS08-14-2383_lrg.jpg.
Bowditch, Nathaniel. American Practical Navigator. Defense Mapping Agency Hydrogr./Topogr. Center, 1981.15
Bratcher, Amy J. “Navigation at Sea, History Of.” Water Encyclopedia, 2010, www.waterencyclopedia.com/Mi-Oc/Navigation-at-Sea-History-of.html.
Carlson, T W. “Azimuth-Altitude Schematic.” File:Azimuth-Altitude Schematic.svg, 7 May 2012,commons.wikimedia.org/wiki/File:Azimuth-Altitude_schematic.svg.
Giesen, Juergen. “Transit and Culmination.” Transit and Culmination, 13 Jan. 2017, geoastro.de/TransitCulm/index.html.
Schombert, James. “Earth Coordinate System.” Earth Coordinate System, Mar. 2011, abyss.uoregon.edu/~js/ast121/lectures/lec03.html.
Stern, David P. “Kepler’s Second Law.” NASA, NASA, 7 Apr. 2014, www-istp.gsfc.nasa.gov/stargaze/Skepl2nd.htm.
Stern, David P. “Precession.” NASA, NASA, 10 Oct. 2016, www-istp.gsfc.nasa.gov/stargaze/Sprecess.htm.
Stern, David P. “The Round Earth and Christopher Columbus.” NASA, NASA, 31 Mar. 2014, www-istp.gsfc.nasa.gov/stargaze/Scolumb.htm.
Szabo, Adam. “Latitude and Longitude.” NASA, NASA, 10 Oct. 2016, www-istp.gsfc.nasa.gov/stargaze/Slatlong.htm.
Tanner, Jay. “Obliquity of the Ecliptic, Nutation in Obliquity and Latitudes of the Arctic/Antarctic Circles.” Obliquity of theEcliptic and Nutation, 2019, www.neoprogrammics.com/obliquity_of_the_ecliptic/.
Various Contributors. “Earth Is Tilted.” Timeanddate.com, Aug. 2017, www.timeanddate.com/astronomy/axial-tilt-obliquity.html.
Vallado, David A., and Wayne D. McClain. Fundamentals of Astrodynamics and Applications. Microcosm Press, 2013.
Various Contributors. “Google Maps: Cap De Ses Salines.” Google Maps, Google, 2019, www.google.es/maps/place/Cap+de+Ses+Salines/@39.2650354,3.0551532,18.75z/data=!4m5!3m4!1s0x1297008a30488a1f:0x98860f86aef6f576!8m2!3d39.2644274!4d3.0556436?hl=es&authuser=0.
Various Contributors. “RESOLUTION B1&B2.” IAU 2012, 2012, www.iau.org/static/resolutions/IAU2012_English.pdf.
Wallard, Andrew, and Mills Göbel. “The International System of Units.” The International System of Units, Organisation Intergouvernementale De La Convention Du Mètre, 2008, www.bipm.org/utils/common/pdf/si_brochure_8_en.pdf.
Forman, Pearson Scott. “The Longitude Lines on the Globe.” File:Longitude Blue.svg, Wikimedia, 24 Mar. 2011.
Williams, Matt. “What Is the Rotation of the Earth?” Universe Today, 2 Mar. 2019, www.universetoday.com/47181/earths-rotation/.
Various Contributors. “Stellarium Astronomy Software.” Stellarium Astronomy Software, 2019, stellarium.org/es/.
W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, and H. Küstner, The VNR Concise Encyclopedia of Mathematics, 2nd ed., ch. 12 (Van Nostrand Reinhold: New York, 1989).
Spherical diagrams drawn with Spherical Easel: Austin, David, and William Dickinson. “Spherical Easel.” Download Spherical Easel, 2009, merganser.math.gvsu.edu/easel/download.html.
Graphs drawn with Desmos: Various Contributors. “Explore Math with Desmos.” Desmos.com, 2019, www.desmos.com/.
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