how to use direction angle and speed to calculate next time's latitude and longitude

Question

I have know my current position({lat:x,lon:y}) and I know my speed and direction angle; How to predict next position at next time?

Answer 1

Same code in Java:

    final double r = 6371 * 1000; // Earth Radius in m

    double lat2 = Math.asin(Math.sin(Math.toRadians(lat)) * Math.cos(distance / r)
            + Math.cos(Math.toRadians(lat)) * Math.sin(distance / r) * Math.cos(Math.toRadians(bearing)));
    double lon2 = Math.toRadians(lon)
            + Math.atan2(Math.sin(Math.toRadians(bearing)) * Math.sin(distance / r) * Math.cos(Math.toRadians(lat)), Math.cos(distance / r)
            - Math.sin(Math.toRadians(lat)) * Math.sin(lat2));
    lat2 = Math.toDegrees( lat2);
    lon2 = Math.toDegrees(lon2);