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5: The Combined System of Coordinates, The Spherical Triangle

5: The Combined System of Coordinates, The Spherical Triangle. Presented By: Mate O. Course Outline. Navigational Astronomy Lecture 1 & 2 Mean Time / Apparent Time Lecture 3 Time Zones, Zone Description, Chronometer Time Lecture 4

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5: The Combined System of Coordinates, The Spherical Triangle

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  1. 5: The Combined System of Coordinates, The Spherical Triangle Presented By: Mate O

  2. Course Outline • Navigational Astronomy Lecture 1 & 2 • Mean Time / Apparent Time Lecture 3 • Time Zones, Zone Description, Chronometer Time Lecture 4 • The Earth, Celestial, And Horizon Coordinate System Lecture 5 & 6 • The Spherical Triangle Lecture 7 • Circle of Equal Altitude Intercept Lecture 8 • Time Diagram, Right Ascension Lecture 9 • The Nautical Almanac, Finding GHA, LHA, and Dec. Lecture 10 • Instruments For Celestial Navigation Lecture 12 • Sight Reduction of the Sun, Stars, Planets, Moon Lecture 13 - 15 • Plotting and Advancing / Retarding the Assumed Position Lecture 16 • Calculating Time of Meridian Passage (LAN) Lecture 17 • Calculating Latitude at Meridian Passage Lecture 18 • Calculating Time of Sunrise/ Sunset/ Twilight Lecture 19 • Star Shooting Schedule / Pub. 249 Lecture 20 • Azimuth and Amplitudes Lecture 21 – 24 • Polaris – Azimuth and Latitude By Lecture 25 • Star – Finder – Stars, Planets, Selecting the 3 best Stars Lecture 26 • The Complete Day’s Work Lecture 27 & 28

  3. V: Systems of Coordinates The Three Systems of Celestial Coordinates and Their Analogous Terms

  4. V: Systems of Coordinates The Combined Systems • The Navigational Triangle • Co-Latitude = Pn Z • Co-Altitude = (Zenith Distance) Z M • Polar Distance = (Co-Declination) Pn M

  5. V: Systems of Coordinates The Navigational Triangle

  6. V: Systems of Coordinates The Navigational Triangle • Two Of The Interior Angles Are Also Of Concern: Meridian Angle (t) Azimuth Angle (Z) • Meridian Angle (t) Is Simply A More Convenient Way Of Expressing LHA If LHA<180, t=LHA (West) if LHA>180, t=360-LHA (East)

  7. V: Systems of Coordinates The Navigational Triangle

  8. V: Systems of Coordinates The Navigational Triangle

  9. V: Systems of Coordinates

  10. V: Systems of Coordinates The Horizons Used In Navigation • Sensible • Eye of Observer • Geoidal • Tangent to Earth • Geometrical • From Eye to Celestial Sphere Tangent To Earth • Visible • Where Earth and Sky Appear to Meet • Celestial • Through Center of Earth A = Eye of the Observer

  11. V: Systems of Coordinates Time Diagram • Time Diagrams Illustrate the Relationship Between the Various Hour Angles and Meridian Angles • The Circle Is the Celestial Equator As Seen From Above the South Pole Celestial Equator Celestial South Pole

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