Calculating new longitude, latitude from old + n meters

by

The number of kilometers per degree of longitude is approximately

(pi/180) * r_earth * cos(theta*pi/180)

where theta is the latitude in degrees and r_earth is approximately 6378 km.

The number of kilometers per degree of latitude is approximately the same at all locations, approx

(pi/180) * r_earth = 111 km / degree

So you can do:

new_latitude  = latitude  + (dy / r_earth) * (180 / pi);
new_longitude = longitude + (dx / r_earth) * (180 / pi) / cos(latitude * pi/180);

As long as dx and dy are small compared to the radius of the earth and you don’t get too close to the poles.

More Related Contents:

  1. Simple calculations for working with lat/lon and km distance?
  2. Algorithm to find all Latitude Longitude locations within a certain distance from a given Lat Lng location
  3. Unique (non-repeating) random numbers in O(1)?
  4. How do I create a URL shortener? [closed]
  5. Segmented Sieve of Eratosthenes?
  6. How do I calculate a point on a circle’s circumference?
  7. Algorithm for Additive Color Mixing for RGB Values
  8. Algorithm to generate all possible permutations of a list?
  9. Fast permutation -> number -> permutation mapping algorithms
  10. Algorithm to detect intersection of two rectangles?
  11. An efficient compression algorithm for short text strings [closed]
  12. Generating the partitions of a number
  13. How to detect the BPM of a song in php [closed]
  14. Find the shortest path in a graph which visits certain nodes
  15. What’s a good algorithm to determine if an input is a perfect square? [duplicate]
  16. nᵗʰ ugly number
  17. Optimal algorithm for returning top k values from an array of length N
  18. Argument for O(1) average-case complexity of heap insertion
  19. insert, delete, max in O(1)
  20. How Can I Best Guess the Encoding when the BOM (Byte Order Mark) is Missing?
  21. How does Dijkstra’s Algorithm and A-Star compare?
  22. Permute all unique enumerations of a vector in R
  23. Easiest algorithm of Voronoi diagram to implement? [closed]
  24. “Rounding” colour values to the nearest of a small set of colours
  25. What algorithm can calculate the power set of a given set?
  26. Color gradient algorithm
  27. Compute the area of intersection between a circle and a triangle?
  28. Unbiased random number generator using a biased one
  29. maximum subarray of an array with integers [duplicate]
  30. CUDA stream compaction algorithm

Leave a Comment