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Latitude-longitude coordinate range given radius

  1. May 14, 2010 #1

    Is there a formula for calculating a range of latitude-longitude coordinates within a certain radius of a given point? Using ellipsoidal geometry, preferably.
  2. jcsd
  3. Jun 30, 2010 #2
    Let the given point on the sphere be of (α,β) longitude and latitude.

    Let θ be the angle between (α,β) and the radius around it.

    What you need to do is traverse φ through a full rotation:

    longitude = α + arcsin( cos(φ) · sin(θ) )
    latitude = β + arcsin( sin(φ) · sin(θ) )

    these would work equally well

    longitude = α + arcsin( sin(φ) · sin(θ) )
    latitude = β + arcsin( cos(φ) · sin(θ) )
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