'How to calculate angle beetween current direction and GPS point

I have 2 points (Android Location objects): current location and target location. Also I have a direction (in degrees) of my device.

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I wanna calculate an angle between target location and direction. How to do it properly?

I receiving location from FusedLocationProvider (if it's matter). Now i just use

float requiredAngle = Math.abs(location.getBearing() - 180 - target.bearingTo(location));

float angleBetween = Math.abs(requiredAngle - location.getBearing()); and it's returns incorrect angle.

I think I should caclate the difference between true north and magnetic north and add device direction. Then use currentPosition.bearingTo(target), and subtract device direction from bearing.

javaandroidgeometryandroid-gps


Solution 1:[1]

This angle called relative bearing.

Register listeners to Sensor.TYPE_ROTATION_VECTOR, Sensor.TYPE_ACCELEROMETER, Sensor.TYPE_MAGNETIC_FIELD. Like:

sensorManager.registerListener(listener, sensorManager.getDefaultSensor(Sensor.TYPE_ROTATION_VECTOR), SensorManager.SENSOR_DELAY_NORMAL);

Then make a listener for this:

private float[] gravity;
private float[] geomagnetic;
private float[] R = new float[9];
private float[] I = new float[9];    

@Override
public void onSensorChanged(SensorEvent event) {
    if (event.sensor.getType() == Sensor.TYPE_ACCELEROMETER) {
        gravity = sensor.values(); // Just save the values
    }

    if (event.sensor.getType() == Sensor.TYPE_MAGNETIC_FIELD) {
        geomagnetic = sensor.values();
    }

    if (SensorManager.getRotationMatrix(R, I, gravity, geomagnetic)) { // If something is wrong (like device is in free fall)
        float orientation[] = new float[3];
        SensorManager.getOrientation(R, orientation);
        // Now you have values from -PI to PI
        float heading;
        if (R[0] > 0) { // R[0] is heading
            heading = R[0] * 180 / PI;
        } else { // -PI, eq. from South to West to North
            heading = (Math.abs(R[0]) * 180 / PI) * 2;
        }

        float relativeBearing = location.bearingTo(target) - heading;
        if (relativeBearing < 0) {
            relativeBearing = 360 + relativeBearing;
        }
    }
}

Documentation: https://developer.android.com/reference/android/hardware/SensorManager#getRotationMatrix(float[],%20float[],%20float[],%20float[]) https://developer.android.com/reference/android/hardware/SensorManager#getOrientation(float[],%20float[])

Solution 2:[2]

In that case you could have a look on this article : https://onlinemschool.com/math/library/vector/angl/

  1. calculate dot product of vectors
  2. calculate vectors magnitude
  3. calculate the angle between these 2 vectors

Formula for angle between vector A and vector B: cosine(alpha) = dotProductAB / (magnitudeA * magnitudeB)

Sources

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Source: Stack Overflow

Solution Source
Solution 1
Solution 2

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