Due North

Currently your boids are heading due east. Let's change direction and head due North.

For this you need to understand radians. Radians is a way to measure angles. Maybe you are more familiar with degrees. Radians are similar but have a different scale.

On the inside of this protractor there are degrees. On the outside are radians. Take special note of the symbols around the outside. E.g. at 180 degrees we are also at \(\pi\) radians.

Your boids use radians to signal their intended heading, but with a slightly different convention. In stead of measuring angles from \(0\) to \(2\pi\), they are measured from \(-\pi\) to \(\pi\). This does not differ for the upper halve of the protractor.

Take a look at the protractor and try to find 270 degrees. According to the protractor this corresponds with \(3\frac{\pi}{2}\) radians. Our boids would call that \(-\frac{\pi}{2}\).

Intention

Let's make our boids head due north. Figure out what the number of radians corresponds with heading due north. You could use the protractor, bribe the workshop leaders or ask around.

Once you found the value, let's say it is 1.5707963267948966, go ahead and change the intended heading

{
    "heading": 1.5707963267948966,
    "speed": 0.005
}

Your boids should change direction and head due north.

Experimentation

Try different angles and see how your boids change their heading.