I am trying to get the coordinates of a point, that is on a set distance from a starting position, but the end result is wrong.
First, I calculate the angle between
Ok, after some more digging, I found this answer, which resolves my problem. Here is my complete solution in swift:
internal func moveToLocation(location: CLLocationCoordinate2D, distance: Double) {
let angle = self.calculateAngleBetweenLocations(self.currentLocation, targetLocation: location)
let newLocation = self.coordinates(self.currentLocation, atDistance: distance, atAngle: angle)
self.moveUser(newLocation: newLocation)
}
private func coordinates(startingCoordinates: CLLocationCoordinate2D, atDistance: Double, atAngle: Double) -> CLLocationCoordinate2D {
let distanceRadians = atDistance / 6371
let bearingRadians = self.degreesToRadians(atAngle)
let fromLatRadians = self.degreesToRadians(startingCoordinates.latitude)
let fromLonRadians = self.degreesToRadians(startingCoordinates.longitude)
let toLatRadians = asin(sin(fromLatRadians) * cos(distanceRadians) + cos(fromLatRadians) * sin(distanceRadians) * cos(bearingRadians))
var toLonRadians = fromLonRadians + atan2(sin(bearingRadians) * sin(distanceRadians) * cos(fromLatRadians), cos(distanceRadians) - sin(fromLatRadians) * sin(toLatRadians));
toLonRadians = fmod((toLonRadians + 3 * M_PI), (2 * M_PI)) - M_PI
let lat = self.radiansToDegrees(toLatRadians)
let lon = self.radiansToDegrees(toLonRadians)
return CLLocationCoordinate2D(latitude: lat, longitude: lon)
}
private func calculateAngleBetweenLocations(currentLocation: CLLocationCoordinate2D, targetLocation: CLLocationCoordinate2D) -> Double {
let fLat = self.degreesToRadians(currentLocation.latitude);
let fLng = self.degreesToRadians(currentLocation.longitude);
let tLat = self.degreesToRadians(targetLocation.latitude);
let tLng = self.degreesToRadians(targetLocation.longitude);
let deltaLng = tLng - fLng
let y = sin(deltaLng) * cos(tLat)
let x = cos(fLat) * sin(tLat) - sin(fLat) * cos(tLat) * cos(deltaLng)
let bearing = atan2(y, x)
return self.radiansToDegrees(bearing)
}
private func degreesToRadians(x: Double) -> Double {
return M_PI * x / 180.0
}
private func radiansToDegrees(x: Double) -> Double {
return x * 180.0 / M_PI
}