User:Tcncv/Geodist/doc

These templates calculate the distance between two geographic points using Vincenty's formulae.

{{User:Tcncv/Geodist | lat1 | long1 | lat2 | long2 }}

All parameters are signed decimal values in degrees.

• Lower 45 degrees latitude = 4984.944
• Upper 45 degrees latitude = 14986.91 (problem case)
• Upper 45 degrees latitude = 5017.021 (adjusted)
• 45 degrees longitude = 5009.321
• 45/45 lat/longitude = 6662.454
• Paris to Berlin - 878.593 km (Vincenty 878594.288 m)
• Los Angeles to Perth - 15023.658 km (Vincenty 15023747.718 m)
• London to Cape Town - 9635.44 km (Vincenty 9635442.275 m)
• Moscow to Washington DC - 7843.327 km (Vincenty 7843324.779 m)
• Rio to Tokyo - 18558.6 km (Vincenty 18558543.383 m)

Utilities:

• {{User:Tcncv/Geodist/DMStoRadians}} - Convert degrees, minutes, seconds to radians
• {{User:Tcncv/Geodist/WGS84}} - Set WGS 84 reference ellipsoid values
• {{User:Tcncv/Geodist/consume}} - Workaround/kluge to force evaluation of deferred expressions
• {{User:Tcncv/Geodist/debug}} - Emit formatted debug information
• {{User:Tcncv/Geodist/doc}} - This document
• {{User:Tcncv/Geodist/output}} - Convert, scale, and format final results

Core Vincenty calculation:

• {{User:Tcncv/Geodist/Vincenty1}} - Calculate U1 and U2, and set the initial λ value
• Iteration 1 for the λ calculation (skipped due to template nesting limitations)
  • {{User:Tcncv/Geodist/Vincenty2a}} - Calculate sinσ and cosσ
  • {{User:Tcncv/Geodist/Vincenty3a}} - Calculate σ and sinα
  • {{User:Tcncv/Geodist/Vincenty4a}} - Calculate cos²α and cosα
  • {{User:Tcncv/Geodist/Vincenty5a}} - Calculate cos2σm and C
  • {{User:Tcncv/Geodist/Vincenty6a}} - Calculate λ′
• Iteration 2 for the λ calculation (skipped due to template nesting limitations)
  • {{User:Tcncv/Geodist/Vincenty2b}} - Calculate sinσ and cosσ
  • {{User:Tcncv/Geodist/Vincenty3b}} - Calculate σ and sinα
  • {{User:Tcncv/Geodist/Vincenty4b}} - Calculate cos²α and cosα
  • {{User:Tcncv/Geodist/Vincenty5b}} - Calculate cos2σm and C
  • {{User:Tcncv/Geodist/Vincenty6b}} - Calculate λ′
• Iteration 3 for the λ calculation
  • {{User:Tcncv/Geodist/Vincenty2c}} - Calculate sinσ and cosσ
  • {{User:Tcncv/Geodist/Vincenty3c}} - Calculate σ and sinα
  • {{User:Tcncv/Geodist/Vincenty4c}} - Calculate cos²α and cosα
  • {{User:Tcncv/Geodist/Vincenty5c}} - Calculate cos2σm and C
  • {{User:Tcncv/Geodist/Vincenty6c}} - Calculate λ′
• Iteration 4 for the λ calculation
  • {{User:Tcncv/Geodist/Vincenty2d}} - Calculate sinσ and cosσ
  • {{User:Tcncv/Geodist/Vincenty3d}} - Calculate σ and sinα
  • {{User:Tcncv/Geodist/Vincenty4d}} - Calculate cos²α and cosα
  • {{User:Tcncv/Geodist/Vincenty5d}} - Calculate cos2σm and C
  • {{User:Tcncv/Geodist/Vincenty6d}} - Calculate λ′ and u²
• {{User:Tcncv/Geodist/Vincenty7}} - Calculate A and B
• {{User:Tcncv/Geodist/Vincenty8}} - Calculate Δσ
• {{User:Tcncv/Geodist/Vincenty9}} - Final calculation of distance s