module GeoCalc module Destination def destination_point brng, dist GeoCalc::Destination.destination_point self, brng, dist end # Returns the destination point from this point having travelled the given distance (in km) on the # given initial bearing (bearing may vary before destination is reached) # # see(http:#williams.best.vwh.net/avform.htm#LL) # # @param [Numeric] Initial bearing in degrees # @param [Numeric] Distance in km # @return [Array] Destination point def self.destination_point base_point, brng, dist dist = dist / base_point.earth_radius_km # convert dist to angular distance in radians brng = brng.to_rad lat1 = base_point.lat.to_rad lon1 = base_point.lon.to_rad lat2 = Math.asin( Math.sin(lat1) * Math.cos(dist) + Math.cos(lat1) * Math.sin(dist) * Math.cos(brng) ) lon2 = lon1 + Math.atan2(Math.sin(brng) * Math.sin(dist) * Math.cos(lat1), Math.cos(dist) - Math.sin(lat1) * Math.sin(lat2)) lon2 = (lon2 + 3*Math::PI) % (2*Math::PI) - Math::PI # normalise to -180...+180 [lat2.to_deg, lon2.to_deg] # GeoPoint.new lat2.to_deg, lon2.to_deg end end end