Long. & Lat. calculation from initial point?

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SUMMARY

The discussion focuses on calculating new geographic coordinates (longitude and latitude) from an initial point given a distance and an angle of motion in a 2D space. Participants emphasize the use of spherical trigonometry formulas, specifically the cosine and sine laws, to derive the new coordinates. The formulas mentioned include cos(c) = cos(a)cos(b) + sin(a)sin(b)cos(C) and the sine rule for spherical triangles. These mathematical principles are essential for accurate geographic calculations on the Earth's surface.

PREREQUISITES
  • Spherical trigonometry concepts
  • Understanding of geographic coordinate systems
  • Basic knowledge of trigonometric functions
  • Familiarity with angle measurements in degrees or radians
NEXT STEPS
  • Study the application of spherical trigonometry in geographic calculations
  • Learn how to implement the cosine and sine laws in programming languages
  • Explore geographic information systems (GIS) tools for coordinate transformations
  • Research the impact of Earth's curvature on distance calculations
USEFUL FOR

Geographers, cartographers, software developers working with mapping applications, and anyone involved in geographic data analysis will benefit from this discussion.

whitenight541
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Hi all,

Given an initial point (longitude and latitude), a distance, and an angle of motion (in the 2d space), how can we calculate the coordinates (longitude and latitude) of the point that lies at that distance in the direction of that angle from the initial point?
 
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