Longitude and Latitude to Distances

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SUMMARY

The discussion focuses on calculating longitudinal and lateral displacement from GPS coordinates using longitude and latitude in degrees. Participants highlight the complexity of this calculation, particularly due to the varying distances represented by degrees of longitude and latitude at different latitudes. A formula for calculating the traveled distance between two points is mentioned, and the use of trigonometric functions (sine and cosine) is suggested to derive the lateral and longitudinal distances from the hypotenuse of a right triangle formed by these points.

PREREQUISITES
  • Understanding of GPS coordinate systems
  • Basic knowledge of trigonometry, specifically sine and cosine functions
  • Familiarity with the concept of right triangles
  • Ability to interpret and manipulate mathematical formulas
NEXT STEPS
  • Research the Haversine formula for calculating distances between GPS coordinates
  • Learn about the impact of latitude on the distance represented by degrees of longitude
  • Explore trigonometric applications in navigation and GPS technology
  • Investigate tools or libraries for geospatial calculations, such as Geopy or Turf.js
USEFUL FOR

This discussion is beneficial for geospatial analysts, software developers working with GPS data, and anyone interested in understanding the mathematical principles behind GPS coordinate calculations.

Hemib
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Hi,

How can I calculate the longitudinal and lateral displacement from the longitude and latitude in degrees from a GPS.

Thx!
 
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Not easily.

When it comes to a globe, the values at the equator are at their maximum whilst they tend to zero towards the poles.

You would need to allow for this in order to gain meaningful data. From the outset, it looks rather complex for the purpose you require.
 
Thanks for reactions!

I now have a formula to calculate the traveled distance between two points. But I want to split this in a lateral and longitudinal distance. So what I have is an right triangle with the calculated distance equals the hypotenuse. What I want are the distances over the other 2 legs of the triangle.

My GPS signal gives me the course I'm heading. Is this the angle in triangle between the hypotenuse and the lateral distance? If it is, I can easy calculate the other 2 legs with sinus and cosinus.

Thx
 

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